Resources

Resources

Complex conjugate theorem

h(x)=x^2+kx-4

h(-3)=-7

, what is the value of

h(2)

x

y

be functions of

t

y = x^3 + 2x + 1

\frac{dx}{dt} = -1

\frac{dy}{dt}

x = 4

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Write an exact, simplified answer.

M

be the set of positive integers less than or equal to

2000

such that the difference of any two numbers in

M

5

8

. find the maximum numbers of elements in

M

81

f(x) = x^2 + 6,561

. Find the other roots of

f(x)

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Write your answer as a list of simplified values separated by commas, if there is more than one value.

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106

f(x) = x^2 + 11,236

. Find the other roots of

f(x)

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Write your answer as a list of simplified values separated by commas, if there is more than one value.

119

f(x) = x^2 + 14,161

. Find the other roots of

f(x)

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Write your answer as a list of simplified values separated by commas, if there is more than one value.

70

f(x) = x^2 + 4,900

. Find the other roots of

f(x)

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Write your answer as a list of simplified values separated by commas, if there is more than one value.

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88

f(x) = x^2 + 7,744

. Find the other roots of

f(x)

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Write your answer as a list of simplified values separated by commas, if there is more than one value.

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54

f(x) = x^2 + 2,916

. Find the other roots of

f(x)

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Write your answer as a list of simplified values separated by commas, if there is more than one value.

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Solve the following equation for

x

. Express your answer in the simplest form.

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-(-10 x-5)+6=1+10 x+10

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Solve the following equation for

x

. Express your answer in the simplest form.

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2(-6 x-6)=-8 x-7

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We want to factor the following expression:

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x^{3}-25

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Which pattern can we use to factor the expression?

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U

V

are either constant integers or single-variable expressions.

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1

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(U+V)^{2}

(U-V)^{2}

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(U+V)(U-V)

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(C) We can't use any of the patterns.

y=\frac{x^{2}+4 x+5}{x+2}

x \neq-2

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x \in \mathbb{R}

y

cannot take values between

-2

2

Find the inverse laplace transform of

(s^2- 4s - 5)/(s^2 -4s-5)

Without dividing, determine if

48

141

is divisible by

9

and explain how you know.

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48,141 \square

9

-73+98 i

f(x)=x^{2}+146 x+

14933

. Find the other roots of

\mathrm{f}(x)

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Write your answer as a list of simplified values separated by commas, if there is more than one value.

h

h(x) = 2x^{2} + 6

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h(x+4)

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Write your answer without parentheses, and simplify it as much as possible.

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h(x+4) =

\square

y=3 x-15

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y=x^{2}-2 x-15

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(x, y)

is a solution to the system of equations and

x>0

, what is the value of

x

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1

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1

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5

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6

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15

Use the quadratic formula to solve. Express your answer in simplest form.

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q^{2}+10 q+25=0

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q=

y

be defined implicitly by the equation

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6 x^{3}+\frac{8}{y}=10 \text {. }

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Use implicit differentiation to find

\frac{d y}{d x}

Find two positive real numbers such that the sum of the first number squared and the second number is

108

and their product is a maximum.

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(Use symbolic notation andractions where needed. Give your answer as a comma separated list of two values.)

x=-4|y|+3

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Find four points contained in the inverse. Express your values as an integer or simplified fraction.

Determine the value of

y

x

-1

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y=\frac{4}{x-1}

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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an

(x, y)

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y=x^{2}+8

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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an

(x, y)

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y=x^{2}+5

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Find the zeros of the function

g(x)=4x^2-484

Enter the solutions from least to greatest.

For the function

f(x)=-x^{2}-3 x+3

, find the slope of the secant line between

x=-4

x=4

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For the function

f(x)=x^{2}-2

, find the slope of the secant line between

x=1

x=4

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For the function

f(x)=x^{2}+5 x-9

, find the slope of the secant line between

x=-7

x=4

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For the function

f(x)=x^{2}+4 x-1

, find the slope of the secant line between

x=-3

x=-1

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7 \frac{2}{5}

into an improper fraction.

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Find the average value of the function

f(x)=\frac{6}{9-4 x}

x=3

x=9

. Express your answer as a constant times

\ln 3

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\square \ln 3

f

x-4

f

, what is the value of

f(4)

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1

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-12

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0

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12

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64

g

be a twice differentiable function, and let

g(-1)=4

g^{\prime}(-1)=0

g^{\prime \prime}(-1)=3

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What occurs in the graph of

g

(-1,4)

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1

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(-1,4)

is a minimum point.

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(-1,4)

is a maximum point.

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(C) There's not enough information to tell.