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Questions in mathematics
[Done] Let $f(x)=-3 x+2, g(x)=\frac{x}{5}, h(x)=-2 x^2+9$, and $j(x)=5-x$. Find each value or expression for #7-#15. 7. $(g \circ f)(x)$ 8. $f(x)+j(x)$ 9. $f(x)-h(x)$ 10. $(g \cdot j)(x)$ 11. $(f \circ g)(-2)$. 12. $3 f(x)$
[Done] $\begin{array}{c}\sqrt{2+2 s}+\frac{1}{4} \sqrt{60} \\8+\frac{1}{4} \sqrt{60} \\5=\frac{2}{4}(x) \\5=\frac{2}{4}\end{array}$
[Done] If [tex]f(x)=4-x^2[/tex] and [tex]g(x)=6x[/tex], which expression is equivalent to [tex](g-f)(3)[/tex]? A. [tex]6-3-(4+3)^2[/tex] B. [tex]6-3-(4-3^2)[/tex] C. [tex]6(3)-4+3^2[/tex] D. [tex]6(3)-4-3^2[/tex]
[Done] Combine like terms: [tex]x^2+3 y^2+x^2+3 x[/tex]
[Done] $-\sqrt{500(17,852+1,993)}$
[Done] Answer too 4^2/(2^3/((-1)x(9+(-5))))
[Done] An equilateral triangle has a semiperimeter of 6 meters. What is the area of the triangle? Round to the nearest square meter.
[Done] \begin{tabular}{|l|l|} \hline \multicolumn{2}{|c|}{$g(x)=x^3+6 x^2+12 x+8$} \\ \hline $x$ & $g(x)$ \\ \hline -3 & -1 \\ \hline -2 & 0 \\ \hline 0 & 8 \\ \hline 2 & 64 \\ \hline 3 & 125 \\ \hline \end{tabular} Determine the function's value when $x=-1$. A. $g(-1)=-3$ B. $g(-1)=0$ C. $g(-1)=1$ D. $g(-1)=27
[Done] Sierra and Alek each have five cousins. Their ages are listed below. Sierra's cousins: [tex]$\left\{2,11,12,13,15\right\}$[/tex] Alek's cousins: [tex]$\left\{9,11,11,12,13\right\}$[/tex] Which of the following statements is true? (A) For both sets of data, the median is equal to the mean. (B) The ages of Sierra's cousins are more spread out than those of Alek's cousins. (C) The mean age of Sierra's cousins is greater than that of Alek's cousins. (D) There are no outliers.
[Done] To calculate [tex]$4 \frac{-}{5} %$[/tex] tax on [tex]$$63.78$[/tex], multiply 4.2 times 63.78. Please select the best answer from the choices provided. T F
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