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Questions in mathematics

[Jawaban] $8(p+2)-3[\{(3-2 p)-3(-3 p-5)\}]=0$

[Jawaban] Sharon's turtle escaped from her backyard sometime in the last few hours. According to her calculations, the farthest the turtle could have gone is 4 blocks down the road in either direction. If Sharon lives on the $112^{\text {th }}$ block of town, which equation can be used to find the block numbers that represent the farthest distance that the turtle may be? $|x-112|=0$ $|x-112|=4$ $|4-112|=x$ $|112-4|=x$

[Jawaban] Work out $3 \div \frac{17}{4}$. Give your answer in its simplest form.

[Jawaban] Solve the inequality. [tex]$-95+6 x \geq 42.1$[/tex]

[Jawaban] What value of [tex]$t$[/tex] makes the statement true? [tex]$\begin{array}{l} \left(4 x^3+5\right)\left(2 x^3+3\right)=8 x^6+t x^3+15 \\ t= \end{array}$[/tex]

[Jawaban] $\frac{3}{c-2}=\frac{3}{2 c-5}$

[Jawaban] 13. Find the domain of [tex]f(x)=\sqrt{4-x^2}[/tex] A. [-2,2] B. (-2,2) C. (-2,2) D. [-2,2]. 14. Find the domain of [tex]f(x)=\frac{3}{5^2-9}[/tex] A. [tex]R \\{9\}[/tex] B. [tex]R \\(-3,3)[/tex] C. [tex]R \\{3\}[/tex] D. [tex]R \\{-9\}[/tex] 15. The domain of [tex]f(x)=x^2 \ln x[/tex] is A. (-x, x) B. (1, x) C. (0,1) D. (0, x). 16. Find the domain of [tex]\sqrt{4-7}[/tex] A. (0, x) B. 7 C. (-x, 7] D. [7, x). 17. Let [tex]f: R \rightarrow R[/tex] be defined by [tex]f(x)=\frac{3}{x^2-1}[/tex]. Find the domain of f. A. [tex]R \\(4)[/tex] B. [tex]R \\{2\}[/tex] C. [tex]R \\{-4\}[/tex] D. [tex]R \{-2.2\}[/tex]. 18. Find the inverse [tex]g^{-1}(x)[/tex] of [tex]g(x)=\sqrt{x-3}[/tex] A. [tex](x-3)^2[/tex] B. [tex]x^2+3[/tex] C. [tex]x^2-3[/tex] D. [tex]\frac{1}{2}-3[/tex] 19. The inverse of [tex]f(x)=2 x-1[/tex] is A. x-1 B. [tex]\frac{x+1}{2}[/tex] C. [tex]\frac{1}{x+2}[/tex] D. [tex]x^2[/tex]. 20. Find the inverse of [tex]f(x)=x^3-2[/tex]. A. [tex](x+2)[/tex] B. [tex](x-2)[/tex] C. [tex](x-2)[/tex] D. [tex](x+2)[/tex]

[Jawaban] The least common multiple of 3, 4, 6, and 8 is A) 96. B) 24. C) 72. D) 8.

[Jawaban] Which statements about the graph of the function [tex]$f(x) = 2x^2 - x - 6$[/tex] are true? Select two options. The domain of the function is [tex]$\left\{x \left\lvert\, x \geq \frac{1}{4}\right.\right\}$[/tex]. The range of the function is all real numbers. The vertex of the function is [tex]$\left(\frac{1}{4},-6 \frac{1}{8}\right)$[/tex]. The function has two [tex]$x$[/tex]-intercepts. The function is increasing over the interval [tex]$\left(-6 \frac{1}{8}, \infty \right)$[/tex].

[Jawaban] Directions: Find the mode of the following data. Identify the types. 1. 16, 21, 26, 17, 17, 16, 21 2. 21, 31, 25, 25, 26, 27, 31, 31, 11 3. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 4. A library's books have 250, 300, 180, 400, 350, and 250 pages. Find the mode. 5. Eight employees earn 45, 50, 55, 48, 52, 47, 53, and 49 thousand pesos. Find the mode.