Questions in mathematics

Questions in mathematics

📝 Answered - Find the equation of the line that is perpendicular to $y=-2 x+1$ and contains the point $(8,2)$. $y=\frac{[?]}{[1]} x+[]$

📝 Answered - Graph the following linear equations on a single sheet of graph paper. Label each line with its respective equation in the format y = mx + b, where m represents the slope and b represents the y-intercept. * y=9x+8 * y= -2x+4 * 2y=x-6 * -5y = x+4

📝 Answered - The graph of the function [tex]f(x)=(x-4)(x+1)[/tex] is shown below. Which statement about the function is true? A. The function is increasing for all real values of [tex]x[/tex] where [tex]x\ \textless \ 0[/tex]. B. The function is increasing for all real values of [tex]x[/tex] where [tex]x\ \textless \ -1[/tex] and where [tex]x\ \textgreater \ 4[/tex]. C. The function is decreasing for all real values of [tex]x[/tex] where [tex]-1\ \textless \ x\ \textless \ 4[/tex]. D. The function is decreasing for all real values of [tex]x[/tex] where [tex]x\ \textless \ 1.5[/tex].

📝 Answered - Sheri surveyed eighty students and then generated three random samples of twenty-five student responses. The means of the samples are shown below. | Sample | Mean | | -------- | ---- | | Sample 1 | 12 | | Sample 2 | 16 | | Sample 3 | 13 | Looking at the table of sample means, which value is the best estimate of the mean of the population? A. 10 B. 12 C. 14 D. 16

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - Which statement describes the graph of [tex]$f(x)=4 x^7+40 x^6+100 x^5$[/tex]? The graph crosses the [tex]$x$[/tex]-axis at [tex]$x=0$[/tex] and touches the [tex]$x$[/tex]-axis at [tex]$x=5$[/tex]. The graph touches the [tex]$x$[/tex]-axis at [tex]$x=0$[/tex] and crosses the [tex]$x$[/tex]-axis at [tex]$x=5$[/tex]. The graph crosses the [tex]$x$[/tex]-axis at [tex]$x=0$[/tex] and touches the [tex]$x$[/tex]-axis at [tex]$x=-5$[/tex]. The graph touches the [tex]$x$[/tex]-axis at [tex]$x=0$[/tex] and crosses the [tex]$x$[/tex]-axis at [tex]$x=-5$[/tex].

📝 Answered - (b) The mean of the following data is 15. What is the value of [tex]$A$[/tex]? | [tex]$x$[/tex] | 5 | [tex]$A+2$[/tex] | 15 | 20 | 25 | |---|---|---|---|---|---| | [tex]$f$[/tex] | 6 | A | 6 | 10 | 5 |

📝 Answered - Part A Complete the table by squaring each positive [tex]$x$[/tex]-value listed.

📝 Answered - What is the product of [tex]$\left(6.5 \times 10^5\right)\left(1.02 \times 10^6\right)$[/tex] written in scientific notation? A. [tex]$6.63 \times 10^{12}$[/tex] B. [tex]$6.63 \times 10^{11}$[/tex] C. [tex]$66.3 \times 10^{10}$[/tex] D. [tex]$7.52 \times 10^{11}$[/tex]

📝 Answered - Simplify: $\quad 5 \sqrt{24}$