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Questions in mathematics

[Jawaban] Compute: $-3 \cdot 2^5$

[Jawaban] Which two values of $x$ are roots of the polynomial below? $4 x^2-6 x+1$ A. $x=\frac{6+\sqrt{20}}{8}$ B. $x=\frac{-6-\sqrt{52}}{16}$ c. $x=\frac{-8-\sqrt{28}}{6}$ D. $x=\frac{-8+\sqrt{28}}{6}$ E. $x=\frac{6-\sqrt{20}}{8}$ F. $x=\frac{6+\sqrt{52}}{16}$

[Jawaban] What are the values of [tex]$x$[/tex] for which the denominator is equal to zero for [tex]$y=\frac{3 x-1}{x^2-4 x+4}$[/tex]?

[Jawaban] Find the $y$-intercept and $x$-intercept of the line. $-x+2 y=2$

[Jawaban] Which number line represents the solutions to $|x+4|=2$?

[Jawaban] The table below shows the number of students who attend various after-school activities. [tex]\begin{tabular}{|c|c|}\ \hline \multicolumn{2}{|c|}{ After-School Activities } \\ \hline Activity & Number of Students \\ \hline Spanish Club & 19 \\ \hline Basketball & 24 \\ \hline Drama & 15 \\ \hline Homework Help & 17 \\ \hline Soccer & 20 \\ \hline \end{tabular}[/tex] Which ratio compares the number of students in the Spanish club to the total number of students? 19:95 20:95 95:24 95:19

[Jawaban] [tex]\frac{7}{9} \div \frac{35}{45}[/tex]

[Jawaban] $\begin{array}{l} h(x)=x^2+1 \quad k(x)=x-2 \\ (h+k)(2)=\square \end{array}$ Evaluate $3 h(2)+2 k(3)=$ $\square$

[Jawaban] The graph represents the function [tex]$f(x)=10(2)^x$[/tex]. How would the graph change if the [tex]$b$[/tex] value in the equation is decreased but remains greater than 1? Check all that apply. A. The graph will begin at a lower point on the [tex]$y$[/tex]-axis. B. The graph will increase at a faster rate. C. The graph will increase at a slower rate. D. The [tex]$y$[/tex]-values will continue to increase as [tex]$x$[/tex]-increases. E. The [tex]$y$[/tex]-values will each be less than their corresponding [tex]$x$[/tex]-values.

[Jawaban] For all functions of the form [tex]f(x)=a x^2+b x+c[/tex], which is true when [tex]b=0[/tex]? A. The graph will always have zero [tex]x[/tex]-intercepts. B. The function will always have a minimum. C. The [tex]y[/tex]-intercept will always be the vertex. D. The axis of symmetry will always be positive.