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Questions in mathematics

[Jawaban] a) 20 x 30 = 30 x 20 b) 32 x 15 = 480 15 x 32 = 480 d) 2697 = 31 x 87 87 x 31 = 2697 e) 1694 = 22 x 77 77 x 22 = 1694

[Jawaban] Find the average rate of change for the given function. [tex]f(x)=x^2+6 x \text { between } x=0 \text { and } x=4[/tex] The average rate of change is $\square$ . (Simplify your answer.)

[Jawaban] In order to be invited to tutoring or extension activities, a student's performance must be at or lower than an average score. If the average score is 105, which inequality represents $p$, the scores who are eligible for tutoring or extension activities? $p < 85$ $85 \leq p \leq 125$ $p<85$ or $p>125$ $p \leq 85$ or $p \geq 125$

[Jawaban] The function [tex]f(c)=\frac{9}{5} c+32[/tex] allows you to convert degrees Celsius to degrees Fahrenheit. Find the inverse of the function so that you can convert degrees Fahrenheit back to degrees Celsius. A. [tex]c(f)=\frac{5}{9}(f-32)[/tex] B. [tex]c(f)=\frac{9}{5}(f+32)[/tex] C. [tex]c(f)=\frac{5}{9}(f+32)[/tex] D. [tex]c(f)=\frac{9}{5}(f-32)[/tex]

[Jawaban] A restaurant manager records the number of tables seated $(x)$ and the total number of cups of complimentary salsa $(y)$ served, as shown in the tables below. Which statements show correct values for the median-fit method? Check all that apply. | x | y | | --- | ------ | | 35 | 99.5 | | 38 | 97.25 | | 41 | 102 | | 47 | 110.5 | | 52 | 103.75 | | x | y | | --- | --- | | 55 | 125 | | 58 | 160 | | 63 | 142 | | 71 | 153 | A. The left summary point is $(38,97.25)$. B. The middle summary point is $(52,110.5)$. C. The right summary point is $(63,160)$. D. The slope of the line of best fit is 2.14. E. The $y$-intercept of the line of best fit is -10.48.

[Jawaban] The stem-and-leaf plot below shows the amount of tips received by the servers in a restaurant in one night. \begin{tabular}{l|lll} 0 &amp; 9 &amp; &amp; \\ 1 &amp; 2 &amp; 4 &amp; 7 \\ 2 &amp; 3 &amp; 6 &amp; 6 \\ 3 &amp; 1 &amp; 2 &amp; 2 \\ 5 &amp; 9 \end{tabular} Why is the plot misleading? A. The plot shows that the data is skewed. B. There is not an equal number of data points for each stem. C. The plot shows duplicate data points. D. The stem does not clearly show the outlier.

[Jawaban] Multiply the polynomials. $(x+2)\left(2 x^2+9 x+8\right)$ A. $16 x^3+72 x^2+46 x-16$ B. $2 x^3+13 x^2-26 x+16$ C. $2 x^3+17 x^2+22 x+16$ D. $2 x^3+13 x^2+26 x+16$

[Jawaban] Simplifying Powers of $i$ Use the inverse relationship to complete the expression. If $i=\sqrt{-1}$, then $i^2=-1$. Using laws of exponents, $i^3=\left(i^2\right) i=$ $\square$

[Jawaban] The equation $\sin \left(25^{\circ}\right)=\frac{9}{c}$ can be used to find the length of $\overline{ AB }$. What is the length of $\overline{ AB }$? Round to the nearest tenth.

[Jawaban] Suppose [tex]$a, b, c$[/tex], and [tex]$d$[/tex] are four numbers which satisfy the conditions [tex]$a>b>c>d>0$[/tex]. Fill in the blank boxes using either [tex]$>, <$[/tex], and [tex]$=$[/tex] so as to make each expression a true statement.