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Domain and range of absolute value functions: equations

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\mathrm{U}=2,3,5,10,12

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B=2,3,5

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What is the complement of Set B in Set U?

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\{10,12\}

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\{2,3,5,10,12\}

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\{2,3,5,10\}

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\{2,3,5\}

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\mathrm{U}=1,2,4,5,9,12

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=5

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What is the complement of Set B in Set U?

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\{1,2,4,5,9,12\}

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\{2,5,9,12\}

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\{5\}

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\{1,2,4,9,12\}

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\mathrm{U}=1,4,5,10,11

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=1,4,5,11

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What is the complement of Set B in Set U?

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\{10\}

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\{1,4,5,10,11\}

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\{1,4,5,11\}

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\{4,5,10,11\}

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A=5,8,10,11

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B=1,6,12

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What is the union of sets A and B?

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\{1,5,6,8,10,11,12\}

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\{5,8,10,11\}

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\{\}

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\{1,6,8,10,11,12\}

1=\sqrt{3 x+1}-\sqrt{2 x-1}

What is the range of this logarithmic function?

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y=\log (x+2)

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\{y \mid y \geq 10\}

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\{y \mid y>-2\}

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(C) all real numbers

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\{y \mid y>10\}

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\{y \mid y \geq-2\}

Which of the following sets of numbers could represent the three sides of a triangle?

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\{12,16,29\}

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\{4,11,17\}

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\{12,25,38\}

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\{7,10,16\}

p

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\frac{2p+1}{5p+6}=\frac{1}{7}\\[1ex]p=\square

An arithmetic sequence is defined as follows:

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\left\{\begin{array}{l} a_{1}=92 \\ a_{i}=a_{i-1}-8 \end{array}\right.

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Find the sum of the first

28

terms in the sequence.

\begin{array}{l} f(x)=8 x^{3}+5 \\ h(x)=\sqrt[3]{x-5} \end{array}

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(h \circ f)(x)

as an expression in terms of

x

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(h \circ f)(x)=

\begin{array}{l}z=-13-52 i \\ \operatorname{Re}(z)= \\ \operatorname{Im}(z)=\end{array}

\begin{array}{l}z=8 i-172 \\ \operatorname{Re}(z)= \\ \operatorname{Im}(z)=\end{array}

\begin{array}{l}z=-24 i-19 \\ \operatorname{Re}(z)= \\ \operatorname{Im}(z)=\end{array}

\begin{array}{l}g(t)=6 t-1 \\ g(\square)=-7\end{array}

\begin{array}{l}f(x)=-7 x-1 \\ f(\square)=-8\end{array}

\begin{array}{l}g(x)=-3 x-8 \\ g(\square)=10\end{array}

\begin{aligned} -7 x^{2} & =(y+5)(y-5) \\ 5 y & =15 x \end{aligned}

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(a, b)

is a solution to the system of equations shown and

a>0

, what is the value of

a

\begin{aligned} y & =-3 x \\ 4 x-y & =14 \end{aligned}

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The given system of equations has solution

(x, y)

. What is the value of

x

\begin{array}{l} y=-x(x+6)+18 \\ y=-7 x+12 \end{array}

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(a, b)

is a solution to the system of equations shown and

b<0

, what is the value of

a

\begin{array}{l} y=\frac{1}{3} x+5 \\ y=2 x \end{array}

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Consider the given system of equations. If

(x, y)

is the solution to the system, then what is the value of

y+x

\frac{1}{3} x+3 y=4

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2 x-4=2 y

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Consider the given system of equations. If

(x, y)

is the solution to the system, then what is the value of

x-y