/ 1. 2. 3. 4. 5. Student: _____________________ Date: _____________________ Instructor: elizabeth kirby Course: 2019-2020 Coordinator Algebra 2 Assignment: 3-5 point bonus for quarter 3 A new is being built in . The perimeter of the rectangular playing field is yards. The length of the field is yards less than the width. What are the dimensions of the playing field? Community Sports Complex Erie 530 5 quadruple The width is yards. The length is yards. Solve for . m ( ) D= 4 3 m − 96 The solution is . m= D+ (Simplify your answers. Type an integer or a fraction.) Solve the equation. 12 − 3(2w + 1) = 7w − 3(7 + w) w (Simplify your answer.) = Solve the formula for the indicated variable. , for T(r + s) = rs r (Simplify your answer.) r= Solve the inequality. Graph the solution. − 6(w + 3) + 8 < − 52 What is the solution? Select the correct choice below and fill in the answer box within your choice. (Type an integer or a decimal.) A. w≤ B. w≥ C. w< D. w> Choose the correct graph below. A. -15 -12 -9 -6 -3 0 3 6 9 12 15 B. -15 -12 -9 -6 -3 0 3 6 9 12 15 C. -15 -12 -9 -6 -3 0 3 6 9 12 15 D. -15 -12 -9 -6 -3 0 3 6 9 12 15 E. -15 -12 -9 -6 -3 0 3 6 9 12 15 F. -15 -12 -9 -6 -3 0 3 6 9 12 15 G. -15 -12 -9 -6 -3 0 3 6 9 12 15 H. -15 -12 -9 -6 -3 0 3 6 9 12 15
Instructor: elizabeth kirbyCourse: 2019-2020 Coordinator Algebra2
Assignment: 3-5 point bonus for quarter3
A new is being built in . The perimeter of the rectangular playing field is yards. The length of the field is yards less than the width. What are the dimensions of the playing field?
Community Sports Complex Erie 5305 quadruple
The width is yards.
The length is yards.
Solve for .m
( )D = 4 3 m − 96
The solution is .m = D +(Simplify your answers. Type an integer or a fraction.)
Solve the equation.
12 − 3(2w + 1) = 7w − 3(7 + w)
w (Simplify your answer.)=
Solve the formula for the indicated variable.
, for T(r + s) = rs r
(Simplify your answer.)r =
Solve the inequality. Graph the solution.
− 6(w + 3) + 8 < − 52
What is the solution? Select the correct choice below and fill in the answer box within your choice.
and are celebrating their anniversary by having a reception at a local reception hall. They have budgeted for their reception. If the reception hall charges a cleanup fee plus per person, find the greatest number of people that they may invite and still stay within their budget.
William Debra Pierce 20th$4,000 $70 $38
and can invite at most people to the reception.William Debra(Round down to the nearest whole person.)
Solve the following compound inequality. Graph the solution.
8x ≤ − 48 or 6x ≥ 42
What is the solution? Select the correct answer below and, if necessary, fill in the answer boxes within your choice.
To pass a course with grade, a student must have an average of or greater. A student's grades on three tests are , , and . Find what score the student must get on the next test to get average
an A 9089 91 84 an A .
What grade must the student get?
or greater
Solve the equation. Check for extraneous solutions.
= 5x + 12x − 4
x =(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
/
10.
11.
12.
Solve the inequality. Graph the solution.
+ 4 < 133x − 3
What is the solution?
(Type an inequality or a compound inequality.)
Choose the correct graph below.
A.-10 -5 0 5 10
B.-10 -5 0 5 10
C.-10 -5 0 5 10
D.-10 -5 0 5 10
Solve the inequality. Graph the solution.
≥ − 122x + 2
Solve the inequality. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x or x≤ ≥
B. x ≤ ≤
C. The solution is all real numbers.
D. There is no solution.
Choose the correct graph below.
A.
-10 100
B.-10 100
-7 5
C.-10 100
-7 5 D. The graph contains no points.
Given f(x) , find f( ).= 21x + 13 5
f( )5 =
/
13.
14.
15.
16.
17.
Recycled CDs, Incorporated, offers a choice of 5 used CDs for $ , with each additional CD costing $ . Write a cost function for purchasing 5 or more CDs. What will the cost of buying CDs be? Let x represent the number of CDs over 5.
23 314
C(x) =(Type an expression using x as the variable.)
The total cost for CDs is $ .14(Type an integer or a decimal.)
The volume of a sphere is a function of its radius, . Evaluate the function for the volume of a volleyball with radius
cm.
V = πr43
3
11.8
The volume is . (Round to the nearest tenth as needed.)cm3
Solve the following variation problem.
The interest on an investment varies directly as the rate of interest. If the interest is $ when the interest rate is46
%, find the interest when the rate is5%.9
The interest is $ .(Round to the nearest cent.)
Write the equation in slope-intercept form. Then find the slope and y-intercept of the line.
x y3 + 5 = 6
The equation in slope-intercept form is y .=(Simplify your answer. Use integers or fractions for any numbers in the expression.)
The slope of the line is .(Simplify your answer. Type an integer or a fraction.)
The y-intercept of the line is .(Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression.)
Graph the equation.
x y2 + 3 = 6
Use the graphing tool to graph the equation.
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
/
18.
19.
20.
21.
22.
Write the equation of the line through the given point. Use slope-intercept form.
; perpendicular to ( − 4,6) y = − x + 343
Write an equation for the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Write an absolute value equation for the graph shown to the right.
y (Simplify your answer.)=
-4 -2 2 4 6 8 10
-8
-6
-4
-2
2
4
6
x
y
Solve by the elimination method.
x y2 − 9 = − 8x y9 + 2 = 49
What is the solution of the system? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. (Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution.
A laboratory technician needs to make a -liter batch of a % acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is % to get the desired concentration?
40 4020
The laboratory technician can combine L of the pure acid solution with L of the% acid solution to get the desired concentration.20
A stadium has seats. Seats sell for $ in Section A, $ in Section B, and $ in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $ from eachsold-out event. How many seats does each section hold?
54,000 25 20 151,152,000
Section A holds seats.
Section B holds seats.
Section C holds seats.
/
23.
24.
25.
26.
27.
28.
Determine the quadratic function of the form whose graph is given on the right.f(x) = a(x − h) + k2
f(x) =(Do not simplify.)
-5 5
-20
-15
-10
-5
5
10
x
y
(-3,4)
(0,-14)
Find the quadratic function y whose graph passes through the given points.= a(x − h)2
( , ) and ( ,0)6 − 6 3
y =(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Write the function in vertex form.
y x x= 4 2 − 6 + 13
The function is y .=
A model for a company's revenue from selling a software package is R(p) p2 p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.
= − 2.5 + 400
The price $ maximizes the revenue.(Simplify your answer.)
The maximum revenue is $ .(Simplify your answer.)
For the function, find the y-intercept.
y (x )2 = −38
+ 8
The y-intercept is the point .(Type an ordered pair.)
Factor by first factoring out the greatest common factor.
25x − 5x − 202
25x − 5x − 202 =
/
29.
30.
31.
32.
33.
The area in square feet of a rectangular field is . The width, in feet, is . What is the length, in feet?x − 70x + 12002 x − 30
The length, in feet, is .
Factor the expression completely.
16x − 81y4 4
(Simplify your answer.)16x − 81y4 4 =
A smoke jumper jumps from a plane that is ft above the ground. The function gives the jumper's height h in feet during the free fall at t seconds.
1700 h = − 16t + 17002
a. How long is the jumper in free fall if the parachute opens at 1000 ft?b. How long is the jumper in free fall if the parachute opens at ft?950c. What is a reasonable domain and range for the function h?
a. The jumper is in free fall for s if the parachute opens at 1000 ft.(Round to two decimal places as needed.)
b. The jumper is in free fall for s if the parachute opens at ft.950(Round to two decimal places as needed.)
c. What is a reasonable domain for the function h?
A. − 1700 ≤ t ≤ 1700
B. 0 ≤ t ≤ 10
C. − 10 ≤ t ≤ 10
D. 0 ≤ t ≤ 1700
E. All real numbers
What is a reasonable range for the function h?
A. − 10 ≤ h ≤ 10
B. − 1700 ≤ h ≤ 1700
C. 0 ≤ h ≤ 10
D. 0 ≤ h ≤ 1700
E. All real numbers
The period of a pendulum is the time the pendulum takes to swing back and forth. The function relates the length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth. A convention center has a pendulum that is feet long. Find the period.
L = 0.81t2
120
The period of the pendulum is seconds.(Round to two decimal places as needed.)
A rectangular swimming pool is ft deep. One side of the pool is times longer than the other. The amount of water needed to fill the swimming pool is cubic feet. Find the dimensions of the pool.
6 4.53888
The smaller dimension of the pool is ft and the larger dimension is ft.
/
34.
35.
36.
37.
38.
39.
40.
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation models the profit of the fundraiser. What's the smallest amount, in dollars, that you can charge and make a profit of at least $ ?
p = − 0.5x + 36x − 1032
509
To make the desired profit, the smallest amount you can charge for each box is $ .(Round to the nearest cent as needed.)
Solve the equation using any method.
6x + 3x − 7 = 02
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x = (Round to the nearest hundredth as needed. Use a comma to separate answers as needed.)
B. There are no real solutions.
If a certain cannon is fired from a height of meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time, t, in seconds, is found by the function . Find the time it takes for the cannonball to strike the ground.
8.4
h(t) = − 4.9t + 24.5t + 8.42
8.4 m
The cannonball will strike the ground after about seconds.(Type an integer or a decimal. Round to the nearest hundredth as needed.)
Without graphing, determine how many x-intercepts the function has.
y = − 2x + x + 102
The function has x-intercept(s).(Type a whole number.)
Simplify the expression.
( )( )2 + i 6 + 8i
The simplified expression is .(Type your answer in the form a + b .)i
Subtract.
( i) ( i)4 + 7 − 7 + 5
( i) ( i)4 + 7 − 7 + 5 =(Type your answer in the form a b .)+ i
Divide and simplify to the form a b .+ i
4 − 9 i
8 + 3 i
4 − 9 i
8 + 3 i=
(Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in the form a b .)+ i
/
41.
42.
43.
44.
Use the quadratic formula to solve the equation.
4x − x + 1 = 02
x =(Type an exact answer, using radicals and as needed. Use a comma to separate answers as needed.)i
Solve the following system.
y = 6x + 13x2
y = x − x − 82
Select the correct choice and fill in any answer boxes in your choice below.
A. The solution(s) is/are .(Type an ordered pair. Use a comma to separate answers as needed.)
B. There is no solution.
Describe the shape of the graph of the cubic function by determining the end behavior and number of turning points.
y = 4x − 4x − 33
What is the end behavior of the graph of the function?
A. Down and Down
B. Down and Up
C. Up and Up
D. Up and Down
How many turning points are there in the graph of the function?
(Type a whole number.)
Determine the degree of the polynomial function with the given data.
x 2− 1− 0 1 2y − 11 − 7 − 7 − 7 − 3
The degree of the polynomial that generates the data is .(Type a whole number.)
/
45.
46.
Write a polynomial function in standard form with the given zeros.
x , , = 3 − 1 − 4
Choose the correct answer below.
A. f(x) = x + 2x − 11x − 123 2
B. f(x) = 12 + x − 11x − 2x3 2
C. f(x) (x )(x )(x )= − 3 + 1 + 4
D. f(x) = x − 2x − 11x + 123 2
E. f(x) (x )(x )(x )= + 3 − 1 − 4
F. f(x) = − 12 + x − 11x + 2x3 2
A metalworker wants to make an open box from a sheet ofmetal, by cutting equal squares from each corner as shown. Complete parts (a) through (c) below.
24 in.
18 in.
a. Write expressions for the length, width, and height of the open box.
Length =Width =Height =
b. Use your expression from part (a) to write a function for the volume of the box. (Hint: Write the function in factored form.)
V =
c. Graph the function. Then find the maximum volume of the box and the side length of the cut-out squares that generates this volume. Choose the correct graph below. All windows are [ 25,25,5] by [ 1000,1000,100].− −
A. B. C. D.
The maximum volume is approximately in. and is generated when x in.3 =(Round to one decimal place as needed.)
/
47.
48.
49.
50.
51.
Find the real or imaginary solutions of the following equation by factoring.
x + 27 = 03
Choose the correct answer below.
A. − 3, + i , − i− 32
3 32
− 32
3 32
B. − 3, + i , − i32
3 32
32
3 32
C. − 27, + i , − i− 32
3 32
− 32
3 32
D. − 9, + i , − i− 32
3 32
− 32
3 32
Find the real or imaginary solutions of the following equation by factoring.
0v3 − 216 =
Choose the correct answer below.
A. 6, − 3 + 3 i , − 3 − 3 i3 3
B. 36, − 36 + 6 i , 36 − 6 i3 3
C. − 6, 3 + 3 i , 6 − 3 i3 3
D. − 216, − 3 + 3 i , − 6 − 3 i3 3
Find the real or imaginary solutions of the equation by factoring.
x − 10x4 2 = − 9
The solutions are . (Use a comma to separate answers as needed.)
The Johnson twins were born their sister. This year, the product of the three siblings' ages is exactly more than the sum of their ages. How old are the twins?
nine years after older1861
The twins are years old.(Type a whole number.)
Divide using synthetic division.
2x3 + 5x2 − 2x + 5
x − 3
, remainder 2x3 + 5x2 − 2x + 5
x − 3 =
/
52.
53.
54.
55.
56.
Divide using synthetic division.
x − 6x − 31 ÷ (x + 2)4 2
The quotient is and the remainder is .(Simplify your answers. Do not factor.)
Find all the zeros for the following function.
y x3 x2 x= − 2 + 9 − 18
The zeros are .(Use a comma to separate answers. Express complex numbers in terms of .)i
Expand .(2a − 3)3
(2a − 3)3 =(Simplify your answer.)
Describe the sequence of basic transformations used to obtain the function below from the parent function .y = x2
y = 4(x − 2) + 32
Choose the correct sequence of transformations of that will result in y .y = x2 = 4(x − 2) + 32
A. Compress the graph of by a factor of , reflect it across the x-axis, shift the graph horizontally units to the left, and shift the graph vertically units up
y = x2 42 2
B.Stretch the graph of by a factor of , shift the graph horizontally units to the right,
and shift the graph vertically units down.
y = x2 14 3
2
C.Compress the graph of by a factor of , reflect it across the x-axis, shift the graph
horizontally units to the left, and shift the graph vertically units down.
y = x2 12
4 3
D. Stretch the graph of by a factor of , shift the graph horizontally units to the right, and shift the graph vertically units up.
y = x2 4 23
Determine the cubic function that is obtained from the parent function y x under a vertical stretch by a factor of , a reflection across the x-axis, a vertical translation units , and a horizontal translation .
= 3 34 up 2 units right
Choose the correct answer below.
A. y = − 3(x + 4) − 23
B. y = − (x + 4) − 213
3
C. y = 3(x + 2) − 43
D. y = − 3(x − 2) + 43
E. y = − (x − 2) + 413
3
F. y = 3(x + 4) − 23
/
57.
58.
59.
60.
61.
62.
Simplify the following radical expression.
a18b16
(Simplify your answer.)a18b16 =
The voltage V of an audio speaker can be represented by , where P is the power of the speaker. An engineer wants to design a speaker with watts of power. What will the voltage be?
V = 4 P324
volts
Divide and simplify.
416x3
44x2
4 16x3
4 4x2=
(Simplify your answer. Type an exact answer, using radicals as needed.)
Simplify the expression.
•3 − 3 3 − 9
•3 − 3 3 − 9 =(Simplify your answer. Type an exact answer, using radicals as needed.)
Simplify the following expression. Rationalize all denominators.
5x6
3x4y5
5x6
3x4y5=
(Type an exact answer, using radicals as needed. Simplify your answer.)
Multiply.
9 + 5 2
9 + 5 2 =(Simplify your answer. Type an exact answer, using radicals as needed. Do not factor.)
/
63.
64.
65.
66.
67.
What is the simplified form of the following expression?
+ −18 72 2
Select the correct choice and fill in any answer boxes in your choice below.
A. (Type an exact answer, using radicals as needed.)+ −18 72 2 =
B. The expression cannot be simplified.
Perform the indicated operation and simplify.
9 5 − 5 6 5 5 + 3 6
9 5 − 5 6 5 5 + 3 6 =(Simplify your answer. Type an exact answer, using radicals as needed.)
Rationalize the denominator and simplify.
216 − 7
42 − 6
216 − 7
42 − 6=
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in theexpression.)
Simplify the expression.
16−
54
Simplify completely. Choose the correct answer below.16−
54
A. − 32
B. 14
165
C. 4 16 − 5
D. 132
Simplify the expression by first converting to rational exponents. Assume that all variables represent positive real numbers.
3t2
6t2
The simplified form is .(Type an exact answer, using radicals as needed.)
/
68.
69.
70.
71.
72.
73.
74.
Find the product.
7 • 9 7
The product is .(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Write the expression in simplest form. Assume that all variables are positive.
− 343x − 12 1 / 3
− 343x − 12 1 / 3=
Solve.
− 7 = 03x + 4
x (Simplify your answer.)=
Solve.
2(x − 7) = 543 / 2
x (Simplify your answer. Use a comma to separate answers as needed.)=
A spherical water tank holds ft of water. What is the diameter of the tank? (Hint: )9,000 3 V = dπ
63
The diameter is ft. (Simplify your answer. Round to two decimal places as needed.)
Solve. Check for extraneous solutions.
− = 64y + 24 y − 3
y (Simplify your answer. Use a comma to separate answers as needed.)=
Let f(x) x 1 and g(x) .= − = x2 + 1
Find (f g)( ).◦ − 5
Then (f g)( ) . (Simplify your answer.)◦ − 5 =
/
75.
76.
77.
(1)
Suppose the function represents the number of equivalent to x and the function represents the number of equivalent to y .
f(x) = 9.09x Chinese yuan British poundsg(y) = 0.12y U.S. dollars Chinese yuan
a. Write a composite function that represents the number of equivalent to x .U.S. dollars British poundsb. Find the value in of an item that costs .U.S. dollars 25 British pounds
a. The composite function is (1) . =(Simplify your answer. Round to two decimal places as needed.)
b. The value of the item is .U.S. dollars(Round to two decimal places as needed.)
(g ◦ f)(x)(f ◦ g)(x)
Find the inverse of the function. Is the inverse a function?
y = 4x + 62
Choose the correct answer for the inverse below.
A. y = ±x + 64
B. y = 4 x − 6
C. y =x + 6
4
D. y = ±x − 6
4
Is the inverse a function?
No
Yes
The formula for converting from Celsius to Fahrenheit temperatures is F .= C + 3295
a. Find the inverse of the formula. Is the inverse a function?b. Use the inverse to find the Celsius temperature that corresponds to F.34°
a. Find the inverse of the formula.
C =(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Is the inverse a function?
Yes
No
b. Use the inverse to find the Celsius temperature that corresponds to F.34°
F C 34° = °(Type an integer or decimal rounded to one decimal place as needed.)
/
78.
79.
80.
81.
82.
Graph the function.
y = − 432 x + 1
Choose the correct graph below.
A.
-10 10
-10
10
x
y
B.
-10 10
-10
10
x
y
C.
-10 10
-10
10
x
y
D.
-10 10
-10
10
x
y
Write an exponential function to model the following situation.
A population of grows % per year for years.140,000 5 14
How much will the popluation be after years?14
Write an exponential function in terms of x.
y = x
After years, the population will be .14(Round to the nearest whole number as needed.)
Find the amount in a continuously compounded account for the following condition.
The balance after years is $ . 3(Round the final answer to the nearest cent as needed. Round all intermediate values to five decimal places as needed.)
Write in logarithmic form.
81 = 92
The logarithmic form is .(Use integers or fractions for any numbers in the expression.)
Write in exponential form.
− 2 = log 319
The exponential form is .(Use integers or fractions for any numbers in the expression.)
/
83.
84.
85.
Expand the following logarithm.
log 49puz7
Choose the correct answer below.
A. log 49puz = log 2p log u + log z7 7 7 7
B. log 49puz = 2 + log p + log u + log z7 7 7 7
C. log 49puz = log 49 − log p − log u − log z7 7 7 7 7
D. log 49puz = 2 • log p • log u • log z7 7 7 7
Solve the equation. Check your answer.
log (42 − 4x) = 1
x (Simplify your answer.)=
Simplify the expression.
ln e72
ln e72 =
/
86.
87.
(1)
(2)
Sketch the asymptotes and the graph of the function. Identify the domain and range.
y = − 19
x + 9
Choose the correct graph below (the asymptotes are shown as red dashed lines).
A.
-19 1
-11
9
x
y
B.
-1 19
-9
11
x
y
C.
-19 1
-9
11
x
y
D.
-19 1
-11
9
x
y
The domain of the function is (1)
The range of the function is (2)
all real numbers.all real numbers except x = 9.all real numbers except x = − 7.all real numbers except x = 7.
all real numbers such that − 19 ≤ x ≤ 1.all real numbers except x = − 9.
all real numbers except y = − 7.all real numbers except y = 7.all real numbers such that − 11 ≤ y ≤ 9.all real numbers.
all real numbers except y = − 1.all real numbers except y = 1.
Find the vertical asymptotes and holes for the graph of the rational function.
y =(x + 5)(x − 2)(x − 2)(x + 3)
Identify any vertical asymptotes for the graph of the function. Select all that apply.
A. x = − 3
B. x = 2
C. x = − 5
D. x 0=
Identify any holes for the graph of the function. Select all that apply.
A. x = 2
B. x = − 3
C. x = − 5
D. x 0=
/
88.
89.
90.
Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression.
y2 − 2y − 35
y2 − 15y + 56
Simplify the rational expression. Select the correct choice below and fill in any answer boxes in your choice.
(Simplify your answer. Use positive exponents only.)y2 − 2y − 35
y2 − 15y + 56=
Find the numbers that must be excluded from the domain of the simplified rational expression in order for it to be equivalent to the original expression. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. y (Use a comma to separate answers as needed.)≠
B. There are no numbers excluded from the domain.
Multiply. State any restrictions on the variable.
•3x2 + 19x + 20
9x2 − 16
3x2 + 8x − 16
x2 + x − 20
Simplify the rational expression.
(Simplify your answer.)•3x2 + 19x + 20
9x2 − 16
3x2 + 8x − 16
x2 + x − 20=
What are the restrictions on the variable? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x ≠(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There are no restrictions on x.
Subtract.
−9
x2 − 9x
x
9x − 81
−9
x2 − 9x
x
9x − 81=
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
/
91.
92.
93.
94.
95.
Simplify the complex rational expression.
8w
+5x
5w
−8x
8w
+5x
5w
−8x
=
, an experienced shipping clerk, can fill a certain order in hours. , a new clerk, needs hours to do the same job. Working together, how long will it take them to fill the order?
Lisa13 Jim 14
The solution is hours.(Simplify your answer. Type an integer or a fraction.)
Solve the following equation. Check the solution.
+ = 616p
6p − 5p + 2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is .(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There are infinitely many solutions.
C. There is no solution.
A theater has seats in the first row, seats in the second row, seats in the third row, and so on. How many seats are there in row ?
35 39 4319
There are seats in row .19
Find the missing terms of the arithmetic sequence. (Hint: The arithmetic mean of the first and fifth terms is the third term.)
, , , , , ...3 a2 a3 a4 − 29
, , , , , ...3 − 29(Simplify your answers.)
/
96.
97.
98.
When radioactive substances decay, the amount remaining will form a geometric sequence when measured over constant intervals of time. The table shows the amount of a radioactive isotope initially and after 2 hours. What are the amounts left after 1 hour, 3 hours, and 4 hours?
Hours Elapsed 0 1 2 3 4Grams of the isotope 1806 537
How much of the isotope is left after 1 hour?
grams(Round the final answer to one decimal place as needed. Round all intermediate values to four decimal places as needed.)
How much of the isotope is left after 3 hours?
grams(Round the final answer to one decimal place as needed. Round all intermediate values to four decimal places as needed.)
How much of the isotope is left after 4 hours?
grams(Round the final answer to one decimal place as needed. Round all intermediate values to four decimal places as needed.)
You are offered a job that pays $ during the first year, with an annual increase of % per year beginning in the second year. That is, beginning in year 2, your salary will be times what it was in the previous year. What can you expect to earn in your fourth year on the job? Round your answer to the nearest dollar.
31,000 71.07
In your fourth year on the job, you can expect to earn $ .(Round to the nearest dollar.)
Write the following arithmetic series in summation notation.
9 + 15 + 21 + + 69• • •
Choose the correct answer below.
A. 6n − 9∑n = 1
10
B. 3n + 6∑n = 1
11
C. 3n + 6∑n = 1
12
D. 6n + 3∑n = 1
11
E. 6n − 3∑n = 1
10
F. 6n − 9∑n = 1
11
G. 6n + 3∑n = 1
12
H. 3n + 6∑n = 1
10
/
99.
100.
In March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cost $ . They start with $ . At the beginning of each month they plan to deposit % more than the previous month. Will they have enough money for their trip? If not, how much more do they need?
1482 120 25
Select the correct answer below and, if necessary, fill in the answer box within your choice.
A. No, they need $ more. (Round up to the nearest dollar.)
B. Yes, they will have enough money.
Determine whether the following infinite geometric series diverges or converges. If the series converges, state the sum.
8 + 16 + 32 + • • •
Select the correct answer below and, if necessary, fill in the answer box within your choice.
A. The series converges and the sum is . (Type an integer or a simplifiedfraction.)
B. The series diverges.
Algebra 2 Quarter 3 Bonus Opportunity
Students have the opportunity to improve their third quarter average (which is the second
semester average for the 2019-2020 school year) by a minimum of 3 points to a maximum of 5
points by accurately completing a bonus assignment. To access this bonus assignment, login to
mathxlforschool.com to accurately answer the posted questions.
How to earn the bonus points:
To earn the 3 points bonus on the third quarter average, students must accurately answer 60 out
of the 100 questions posted.
To earn the 4 points bonus on the third quarter average, students must accurately answer 75 out
of the 100 questions posted.
To earn the 5 points bonus on the third quarter average, students must accurately answer 90 out
of the 100 questions posted.
When students have accurately completed however many questions, they desire to do to earn the
bonus points that the students want to earn, the students should email their teacher to let them
know to check their work in mathxl.
If a student is unable to access mathxl due to internet issues or technology issues, it is the
responsibility of the student to email his/her Algebra 2 teacher and ask for a hard copy. If a
student chooses this option, the student will take pictures of each page of the hard copy and
email all of those pictures back to his/her teacher for his /her teacher to grade the accuracy of the
problems the student submitted.
No late work will be accepted after 11:59 p.m. on May 11
If you have any questions, please email with your teacher:
![F B G H ; J G : M D J H K K B B ; H J B K H = N B E B : N ......2 I. H [ s Z y Z j Z d l _ j b k l b d Z h ] j Z f f u 1.1. P _ e b Z e b a Z p b b h ] j Z f f u: I j h ] j Z f f Z](https://static.documents.pub/doc/80x56/61285b440ec75835d5693e13/f-b-g-h-j-g-m-d-j-h-k-k-b-b-h-j-b-k-h-n-b-e-b-n-2-i-h-s-z-y.jpg)
![E d p b y i h w d h g h f l j b d f h ^ m e vI j b f _ j f m e v l b d h e e b g _ Z j g h k l b ^ Z g g u o F g h ] h g _ a g Z q b f u o d h w n n b p b _ g l h \ E E H EEE E F _](https://static.documents.pub/doc/80x56/60a77f220efb7d2a322c68bc/e-d-p-b-y-i-h-w-d-h-g-h-f-l-j-b-d-f-h-m-e-v-i-j-b-f-j-f-m-e-v-l-b-d-h-e-e-b.jpg)
![= D - - K · H [ h a g Z q _ g b _ G Z b f _ g h \ Z g b _ I j b f _ q Z g b _ < _ ^ h f h k l v k k u e h q g u o b i j b e Z ] Z _ f u o ^ h d m f _ g l h \](https://static.documents.pub/doc/80x56/603690629ffbb42b905c497c/-d-k-h-h-a-g-z-q-g-b-g-z-b-f-g-h-z-g-b-i-j-b-f-q-z-g-b-.jpg)
![Z g b f f l h ^ h e h ] ARISlibrary.miit.ru/methodics/29.09.17/Уч-мет.ARIS.pdf · ~ 6 ~ 1. F _ l h ^ h e h ] b q _ k d b _ h k g h \ u f h ^ _ e b j h \ Z g b ARIS 1.1. H [ s](https://static.documents.pub/doc/80x56/5f11afa7befb0b5865307d24/z-g-b-f-f-l-h-h-e-h-arispdf-6-1-f-l-h-h-e-h-b-q-k.jpg)
