Resources

Resources

Write equations of cosine functions using properties

Which set of points does not represent a one-to-one function?

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\{(1,7),(6,4),(8,0),(2,5),(4,3)\}

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\{(9,6),(3,4),(5,8),(5,2),(1,7)\}

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\{(7,5),(1,9),(4,2),(2,6),(6,4)\}

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\{(5,2),(9,7),(6,6),(8,4),(0,1)\}

The graph of a sinusoidal function has a maximum point at

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(0,7)

and then intersects its midline at

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(3,3)

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Write the formula of the function, where

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x

is entered in radians.

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f(x)=

Write a sine function that has a midline of

y=5

, an amplitude of

2

and a period of

\frac{2 \pi}{7}

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f(x)=

Write a sine function that has a midline of

y=4

, an amplitude of

2

and a period of

\frac{2 \pi}{7}

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f(x)=

Write a cosine function that has an amplitude of

2

y=4

and a period of

1

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f(x)=

X

be a uniform discrete random variable which takes on the possible values of

a, a+1, a+2, \ldots, b

E(X)

\operatorname{Var}(X)

Alanna went for a run. She ran

d

kilometers at an average speed of

v

kilometers per hour, and then walked to cool down for

0

25

hours. The total duration of the trip was

t

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Write an equation that relates

d, v

t

Polynomial function

h

h(x)=2 x^{3}-9 x^{2}+c x-6

c

is a constant. If

2 x-3

is a factor of the polynomial, then what is the value of

c

3 i \cdot(15+2 i)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

7 \cdot(2 i+12)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

-6 i \cdot(6-2 i)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

10 \cdot(-6-9 i)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

-8 i \cdot(12-i)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

8 \cdot(11 i+2)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

-20 \cdot(2 i-7)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

-3 i \cdot(8 i+5)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

-12 \cdot(8-2 i)=

\newline

Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

-2 \cdot(4+4 i)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

11 i \cdot(-8+10 i)=

\newline

Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

14 \cdot(-2 i+6)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

13 i \cdot(1-5 i)=

\newline

Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

-4 \cdot(20 i+10)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

15 \cdot(-4 i+2)=

\newline

Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

-9 i \cdot(6 i+8)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

11 \cdot(6 i-9)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

12 \cdot(-3 i-4)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

30 i \cdot(-7 i-1)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

3 i \cdot(3+2 i)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

12 \cdot(9-7 i)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

4 i \cdot(-7+i)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

9 i \cdot(-4-7 i)=

\newline

Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

-3 \cdot(10 i+6)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

-10 \cdot(13 i-9)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

-5 i \cdot(5 i-5)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

15 i \cdot(-i-1)=

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Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

V=\ell w h

\newline

The formula gives the volume

V

of a right rectangular prism with length

\ell

w

h

. What is the volume, in cubic meters, of a rectangular prism that is

5

3

meters wide, and

4

G(x)=(x-a)(x-b)(x-c)

\newline

A polynomial function

G

5,-\frac{3}{2}

\frac{1}{2}

. If polynomial

G

is defined for constants

a, b

c

, then what is the value of

a+b+c