question

The formula for the volume of a sphere is V=3/4?r^3 What is the formula solved for r?

answer

C

question

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

answer

C

question

Given f(x)=10-2x find f(7).
-4
3
7
56

answer

-4

question

Given b(x)=|x+4|, what is b(-10)?

answer

6

question

Which table represents the same relation as the set {(-6,4),(-4,0).(-3,2).(-1,2)}

answer

B

question

Given h(f)=-2(t+5)^2+4, find h(-8)
-334
-14
45
445

answer

-14

question

Which graph represents the same relation as the set

answer

{(-3,2).(5,5).(3,3).(3-2)}

question

Which relation below represents a one-to-one function?

answer

D

question

Which graph represents the same relation as the table below?

answer

D

question

What is the range of the function graphed below?

answer

-3

question

In which function is x = 2 mapped to 32?

answer

B

question

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which of the following describes the domain of (G*f)(x)

answer

D

question

If h(x) = x - 7 and g(x) = x2, which expression is equivalent to (g*h)(5)?
(5 - 7)2
(5)2 - 7
(5)2(5 - 7)
(5 - 7)x2

answer

(5 - 7)^2

question

If s(x) = x - 7 and t(x) = 4x2 - x + 3, which expression is equivalent to (t*s)(x)?
4(x - 7)2 - x - 7 + 3
4(x - 7)2 - (x - 7) + 3
(4x2 - x + 3) - 7
(4x2 - x + 3)(x - 7)

answer

4(x - 7)^2 - (x - 7) + 3

question

If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (f*g)(10)?
37
97
126
606

answer

37

question

If g(x)=x+1/x-2 and h(x) = 4 - x, what is the value of (g*h)(-3)?

answer

8/5

question

If m(x)=x+5/x-1 and n(x)=x-3, which function has the same domain as (m*n)(x)

answer

h(x)=11/x-4

question

If g(x)=2x and (f*g)(x)=3/x, what is f(x)

answer

f(x)=6/x

question

If (z*z)(x)=1/16x, what is z(x)

answer

z(x)=x/4

question

If h(x) = 5 + x and k(x)=1/x, which expression is equivalent to (k*h)(x)?

answer

1/(5+x)

question

If f(x)=x-3/x and g(x)=5x-4, what is the domain of (f*g)(x)?

answer

{x|x?4/5}

question

Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?
The graph of h(x) passes the vertical line test.
The graph of the inverse of h(x) is a vertical line.
The graph of the inverse of h(x) passes the horizontal line test.
The graph of h(x) passes the horizontal line test.

answer

The graph of h(x) passes the horizontal line test.

question

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?

answer

B.

question

If f(x) = 5x, what is f-1(x)?

answer

C.

question

If f(x) = 3x and g(x)=1/3x which expression could be used to verify that g(x) is the inverse of f(x)?

answer

C. 1/3(3x)

question

Which graph shows a function whose inverse is also a function?

answer

A.

question

Which function is the inverse of f(x) = 2x + 3?

answer

B.

question

Which function has an inverse that is also a function?
{(-1, -2), (0, 4), (1, 3), (5, 14), (7, 4)}
{(-1, 2), (0, 4), (1, 5), (5, 4), (7, 2)}
{(-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}
{(-1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}

answer

C. {(-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}

question

Which statement could be used to explain why f(x) = 2x - 3 has an inverse relation that is a function?
The graph of f(x) passes the vertical line test.
f(x) is a one-to-one function.
The graph of the inverse of f(x) passes the horizontal line test.
f(x) is not a function.

answer

B. f(x) is a one-to-one function.

question

If f(x) and f-1(x) are inverse functions of each other and f(x)=2x+5 what is f-1(8)?

answer

B. 3/2

question

If f(x)=5x-25 and g(x)=1/5x+5

answer

C.

question

The axis of symmetry of a quadratic equation is x = -3. If one of the zeroes of the equation is 4, what is the other zero?
-10
-7
-6
-4

answer

-10

question

What is the vertex and the equation of the axis of symmetry of the graph of Y=x^2-6x-7?
vertex: (-16, 3)
a.o.s: x = -16
vertex: (-3, 20)
a.o.s: x = -3
vertex: (3,-16)
a.o.s: x = 3
vertex: (20, -3)
a.o.s: x = 20

answer

vertex: (3,-16)
a.o.s: x = 3

question

What is the equation of the axis of symmetry of the graph of y=ax^2+bx+c

answer

x=-b/2a

question

What is the vertex of the graph of y = x2 + 4x?
(-2, -12)
(-2, -8)
(-2, -6)
(-2, -4)

answer

(-2, -4)

question

Which function is a quadratic function?
h(t) = 12 - 8t + 6t3
g(t) = 7t2 + 3t3 + 2t
k(t) = 3t4 + 3t2 + 4
h(t) = 12 - t + 6t2

answer

h(t) = 12 - t + 6t2

question

What is the axis of symmetry for the graph of y - 4x = 7 - x2 ?
x = 2
y = 2
x = 11
y = 11

answer

x = 2

question

The path of a football kicked by a field goal kicker can be modeled by the equation y = -0.04x2 + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the football?
15.21 yd
19.5 yd
38.94 yd
45.63 yd

answer

15.21 yd

question

The height of a baseball hit from a bat is modeled by a quadratic function of time, h(t). What does the second coordinate of the vertex of the quadratic function represent?
the minimum height of the baseball
the time at which the baseball hits the ground
the time at which the baseball hits the maximum height
the maximum height of the baseball

answer

the maximum height of the baseball

question

The function C(x) = 400x - 0.2x2 represents the total costs for a company to produce a product, where C is the total cost in dollars and x is the number of units sold. Which statement is true?
One thousand units have the minimum cost of $200,000.
One thousand units have the maximum cost of $200,000.
Two thousand units have the minimum cost of $800,000.
Two thousand units have the maximum cost of $800,000.

answer

One thousand units have the maximum cost of $200,000.

question

The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 - 7.2b + 390. What number of bats should be produced to keep costs at a minimum?
27 bats
60 bats
174 bats
390 bats

answer

60 bats

question

A rectangular patio is 9 ft by 6 ft. When the length and width are increased by the same amount, the area becomes 88 sq ft. Ginger is using the zero product property to solve the equation (6 + x)(9 + x) = 88. What do her solutions represent?
one possible length and one possible width
two possible amounts for the widths
two possible amounts for the lengths
two possible amounts by which the dimensions were increased

answer

two possible amounts by which the dimensions were increased

question

The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x - 2x2. For what number of tabletops does the company make a profit of $0?
100 tabletops
120 tabletops
240 tabletops
480 tabletops

answer

240 tabletops

question

The square of 9 less than a number is 3 less than the number. What is the number?
-12 or 7
-12 or -7
-7 or 12
7 or 12

answer

7 or 12

question

The square of a number is 12 less than 7 times the number. What is the number?
-4 or -3
-4 or 3
-3 or 4
3 or 4

answer

3 or 4

question

What are the solutions to the equation (x - 6)(x + 8) = 0?
x = -6 or x = 8
x = -6 or x = -8
x = 6 or x = -8
x = 6 or x = 8

answer

x = 6 or x = -8

question

Lisa is using the equation x2 + (x - 5)2 = 157 to find two numbers that differ by 5 and that have squares that sum to 157. When Lisa solves the problem using the zero product property, what do the two solutions represent?
two numbers that differ by 5 and squares that have a sum of 157
one possible number is 5 less than the other number
one possible number that can be used to find numbers that differ by 5 and squares that have a sum of 157
two possible numbers that can be used to find numbers that differ by 5 and squares that have a sum of 157

answer

two possible numbers that can be used to find numbers that differ by 5 and squares that have a sum of 157

question

What are the solutions to the equation 3(x - 4)(x + 5) = 0?
x = -4 or x = 5
x = 3, x = 4, or x = -5
x = 3, x = -4, or x = 5
x = 4 or x = -5

answer

x = 4 or x = -5

question

A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. ft. By how much were the dimensions increased?
2 ft
4 ft
8 ft
10 ft

answer

4 ft

question

The solutions to a quadratic equation are x = 2 and x = 7. If k is a nonzero constant, which of the following must be equal to the quadratic equation?

answer

k(x-2)(x-7)=0

question

The solutions to the equation 2x^2+x-1=2 are x=-3/2 or

answer

x=1

question

What is the solution set of the quadratic inequality 6x^2+1?0?

answer

slashed out 0

question

What are the solutions to the inequality (x-3)(x+5)?0

answer

{x|-5?x?3}

question

What is the solution set to the inequality (4x-3)(2x-1)?0?

answer

{x|x?1/2 or x?3/4}

question

An acorn falls from the branch of a tree to the ground 25 feet below. The distance, S, that the acorn is from the ground as it falls is represented by the equation S(t) = -16t2 + 25, where t is the number of seconds. For which interval of time is the acorn moving through the air?

answer

0

question

What is the solution set of the quadratic inequality 4(x + 2)2?0

answer

{x|x=-2}

question

What is the solution set of the quadratic inequality f(x)?0?

answer

{x|xER}

question

The graph below represents the solution set of which inequality?
-4 to 2

answer

x2 + 2x - 8 < 0

question

Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determined by the equation d = 144 - 16t2, where t is the number of seconds it takes the car to travel down to each point on the ride. For which interval of time is Greg's car moving in the air?

answer

0

question

Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function p=s2+9s-142, where s is the number of T-shirts sold. How many T-shirts should be sold to earn a profit of more than $2,000?

answer

s > 42

question

If f(x) = x3 - 2x2, which expression is equivalent to f(i)?
-2 + i
-2 - i
2 + i
2 - i

answer

2 - i

question

Which complex number is represented by the point graphed on the complex plane below?

answer

3 - 4i

question

In which quadrant is the number -14 - 5i located on the complex plane?
I
II
III
IV

answer

III

question

If f(x) = 1 - x, which value is equivalent to |f(i)|?

answer

sqr2

question

if i=sqr-1 what is the value of i3

answer

-i

question

If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?

answer

2

question

Which of the following is equivalent to 18-sqr-25

answer

18-5i

question

Which complex number has a distance of sqr17 from the origin on the complex plane?

answer

4 - i

question

What is the square root of -1?
-i
i
-1
1

answer

i

question

Which complex number has an absolute value of 5?
-3 + 4i
2 + 3i
7 - 2i
9 + 4i

answer

-3 + 4i

question

equation

answer

x2 - 2x - 4 = 0

question

Using the quadratic formula to solve 7x2 - x = 7, what are the values of x?

answer

B

question

What is the discriminant of 9x2 + 2 = 10x?
-356
-172
28
72

answer

28

question

Equation

answer

3x2 - 10x - 1 = 0

question

What is the discriminant of 3x^2-10x=-2?

answer

76

question

If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?

answer

The discriminant is 0.

question

If the discriminant of a quadratic equation is equal to mc027-1.jpg, which statement describes the roots?
There are two complex roots.
There are two real roots.
There is one real root.
There is one complex root.

answer

There are two complex roots.

question

Which equation shows the quadratic formula used correctly to solve 5x2 + 3x - 4 = 0 for x?

answer

A

question

If x=6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?

answer

The discriminant is 0.

question

What is the discriminant of 3x2 + 6x = 2?
12
18
42
60

answer

60

question

Which pair of equations generates graphs with the same vertex?
y = -(x + 4)2 and y = (x - 4)2
y = -4x2 and y = 4x2
y = -x2 - 4 and y = x2 + 4
y = (x - 4)2 and y = x2 + 4

answer

y = -4x2 and y = 4x2

question

Which equation is y = 6x2 + 12x - 10 rewritten in vertex form?
y = 6(x + 1)2 - 11
y = 6(x + 1)2 - 10
y = 6(x + 1)2 - 4
y = 6(x + 1)2 - 16

answer

y = 6(x + 1)2 - 16

question

Which phrase best describes the translation from the graph y = 6x2 to the graph of y = 6(x + 1)2?
6 unit left
6 unit right
1 unit left
1 unit right

answer

1 unit left

question

Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?
4 units to the left
4 units to the right
8 units to the left
8 units to the right

answer

4 units to the left

question

Which equation has a graph that is a parabola with a vertex at (-2, 0)?
y = -2x2
y = (x + 2)2
y = (x - 2)2
y = x2 - 2

answer

y = (x + 2)2

question

Which equation has a graph that is a parabola with a vertex at (5, 3)?
y = (x - 5)2 + 3
y = (x + 5)2 + 3
y = (x - 3)2 + 5
y = (x + 3)2 + 5

answer

y = (x - 5)2 + 3

question

Which equation has a graph that is a parabola with a vertex at (-1, -1)?
y = (x - 1)2 + 1
y = (x - 1)2 - 1
y = (x + 1)2 + 1
y = (x + 1)2 - 1

answer

y = (x + 1)2 - 1

question

What is the first step when rewriting y = -4x2 + 2x - 7 in the form y = a(x - h)2 + k?
2 must be factored from 2x - 7
-4 must be factored from -4x2 + 2x
x must be factored from -4x2 + 2x
-4 must be factored from -4x2 - 7

answer

-4 must be factored from -4x2 + 2x

question

What is the first step when rewriting y = 3x2 + 9x - 18 in the form y = a(x - h)2 + k?
3 must be factored from 3x2 + 9x
x must be factored from 3x2 + 9x
9 must be factored from 9x - 18
3 must be factored from 3x2 - 18

answer

3 must be factored from 3x2 + 9x

question

What is the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x - h)2 + k?
16 must be factored from 18x + 14
x must be factored from 6x2 + 18x
6 must be factored from 6x2 + 14
6 must be factored from 6x2 + 18x

answer

6 must be factored from 6x2 + 18x

question

Which equation is the inverse of y = 2x2 - 8?

answer

A

question

Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?

answer

D

question

If the domain of the square root function f(x) is mc024-1.jpg, which statement must be true?
7 is subtracted from the x-term inside the radical.
The radical is multiplied by a negative number.
7 is added to the radical term.
The x-term inside the radical has a negative coefficient.

answer

The x-term inside the radical has a negative coefficient.

question

What is the domain of the square root function graphed below?

answer

D

question

Which equation is the inverse of y = 100 - x2?

answer

A

question

Which could be the function graphed below?

answer

f(x)=sqr x -2

question

if f(x)=sqr x-3, which inequality can be used to find the domain of f(x)?

answer

B

question

What is the domain of the function y=sqr x+6-7

answer

B

question

Which equation can be simplified to find the inverse of y = 5x2 + 10?

answer

A

question

Which equation can be simplified to find the inverse of y = 2x2?

answer

D

question

Which equation is the inverse of y = 16x2 + 1?

answer

D

question

Which equation can be simplified to find the inverse of y = x2 - 7?

answer

C

question

Which equation is the inverse of 5y+4=(x+362+1/2

answer

D

question

What is the domain of the function y=sqr x+4

answer

C