HRS - Ask. Learn. Share Knowledge. Logo

Questions in mathematics

[Done] In which function is [tex]x=2[/tex] mapped to 32? [tex]f(x)=-3 x^2-4[/tex] [tex]g(x)=4(x+3)^2-68[/tex] [tex]h(x)=3 x[/tex] [tex]j(x)=2 x-62[/tex]

[Done] Desmond earned $11 per hour. What expression would represent his total earnings after working a number of hours?

[Done] Select the correct answer. Let [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex] be polynomials as shown below. [tex] \begin{array}{l} f(z)=a_0+a_1 z+a_2 z^2 \ldots+a_0 z^* g(z)=b_0+b_1 z+b_2 z^2 \ldots+b_m z^* \end{array} [/tex] Which of the following is true about [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex]? A. [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex] are not closed under addition because when added, the result will be a polynomial. B. [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex] are closed under addition because when added, the result will not be a polynomial.

[Done] Which of the following is a function? [tex]4 y^2=-7 x^2+x-63[/tex] [tex]5 x^2+5 y^2=125[/tex] [tex]15 y^2=9 x+27[/tex] [tex]-3 x^2=4 y-12[/tex]

[Done] According to the chart, what are your total weekly expenses? \begin{tabular}{|l|ll|} \hline \multicolumn{1}{|c|}{ Expense Type } & \multicolumn{1}{c|}{ Cost } \\ \hline Rent (monthly) & $ \$1200$ & \\ \hline Groceries (bi-weekly) & $ \$110$ & \\ \hline Transportation (weekly) & $ \$45$ & \\ \hline \end{tabular} A. $455 B. $1355 C. $400 D. $485

[Done] Solve each equation for the given variable. 16. [tex]$-2 z-x y=x+7$[/tex] for [tex]$x$[/tex] 17. [tex]$\frac{a}{b}-8=\frac{c}{d}$[/tex] for [tex]$a$[/tex] 18. [tex]$6 q r+7 r s-2 s t=-9$[/tex] for [tex]$r$[/tex] 19. [tex]$p=\left(\frac{m+n}{-5}\right)$[/tex] for [tex]$n$[/tex]

[Done] Express the following fraction in simplest form, only using positive exponents. [tex]$\frac{\left(3 a^5 r^2\right)^{-1}}{2 a^{-5} r^{-2}}$[/tex]

[Done] Raintorest data: [tex]$\text { Mean }=7 \quad \sigma^2=12.405 \quad \sigma \approx 3.522$[/tex] When using the formula [tex]$z_x=\frac{x-\mu}{\sigma}$[/tex] for the [tex]$z$[/tex]-score for the 11.7 data point: [tex]$x=\square ; \mu=\square$[/tex]

[Done] Find the domain of [tex]y=\frac{x-2}{3-\sqrt{x^2-16}}[/tex]. Give your answer in interval notation.

[Done] A penguin walks south. It completes the first [tex]$\frac{1}{3}$[/tex] mile in [tex]$\frac{1}{5}$[/tex] hour and continues walking at the same rate. What is the penguin's speed in miles per hour? Show your work.