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Questions in mathematics

📝 Answered - [tex]\frac{3^2 \cdot 3^4 \cdot 3^7}{3^6 \cdot 3^8}[/tex]

📝 Answered - Given the function [tex]f(x)=x^2+3x+2[/tex], find the average rate of change between [tex]x=3[/tex] and [tex]x=(3+h)[/tex].

📝 Answered - Select the correct answer. What is the value of this expression if [tex]h=8, j=-1$[/tex], and [tex]$k=-12$[/tex]? [tex]$\frac{h^2 k}{4 j}$[/tex] A. -12 B. [tex]$\frac{3}{2}$[/tex] C. 36 D. 12

📝 Answered - Which is the correct order for an ordered pair? A. $(x, y)$ B. $(y, x)$

📝 Answered - Violet creates two spinners for a game. Each spinner is spun once, and the sum is recorded. The table represents the sums of the spinners and the frequency of each sum. \begin{table} \captionsetup{labelformat=empty} \caption{Possible Sums} \begin{tabular}{|c|c|} \hline Sum & Frequency \\ \hline 5 & 1 \\ \hline 7 & 2 \\ \hline 9 & 3 \\ \hline 11 & 4 \\ \hline 13 & 3 \\ \hline 15 & 2 \\ \hline 17 & 1 \\ \hline \end{tabular} \end{table} What statement is true about the mean of the sums of the two spinners? A. The mean is 12. B. The mean is 16. C. The mean is the same as the median. D. The mean is the same as the range.

📝 Answered - 3. [tex]$\begin{array}{r} 29=6 x-8 \ -8-8 \ \end{array}$[/tex]

📝 Answered - Bruce takes out a personal loan of $[tex]1,000[/tex] to go on a trip to Florida. His loan has an annual compound interest rate of [tex]10[/tex]%. The loan compounds once each year. When you calculate Bruce's debt, be sure to use the formula for annual compound interest. [tex]A=P(1+\frac{r}{n})^{nt}[/tex] If Bruce waits for five years to begin paying back his loan, how much will he owe? A. $[tex]1,310.21[/tex] B. $[tex]1,810.71[/tex] C. $[tex]1,251.10[/tex] D. $[tex]1,610.51[/tex]

📝 Answered - Which of the following represents the solution of $\frac{3}{2}=\frac{3}{2 x}-\frac{6}{5 x} ?$ A. $x=\frac{1}{5}$ B. $x=\frac{5}{9}$ C. all real numbers D. no solution

📝 Answered - Match each expression with an equivalent expression. Expressions a. [tex]$-3 x-7$[/tex] b. [tex]$-3.4+5.7 x+2.5$[/tex] c. [tex]$1.8 x-5.9+3.9 x$[/tex] d. [tex]$-3 x+7$[/tex] Equivalent Expressions [tex]$\qquad$ $-0.9+5.7 x$[/tex] [tex]$\qquad$ $-\frac{1}{2}(6 x-14)$[/tex] [tex]$\qquad$ $5.7 x-5.9$[/tex] [tex]$\qquad$ $\left(-\frac{7}{2}-\frac{3}{2} x\right) \cdot 2$[/tex]

📝 Answered - 2. Cow Growth Rates A type of feed claims to boost the growth rate of cows. The feed is tested on two twin newborn cows. Bessie receives the experimental feed, and Bertha receives regular corn feed. Their weights are recorded below. \begin{tabular}{|c|c|l|c|c|c|c|}\hline Month & April & & May & June & July & Aug \\ \hline Bessie & 150 kg & & 210 kg & 260 kg & 320 kg & 400 kg \\ \hline Bertha & 150 kg & & 250 kg & 290 kg & 340 kg & 400 kg \\ \hline\end{tabular} Graph the data. Make sure you follow the TAILS rules of graphing! \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|}\hline & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & \\ \hline\end{tabular} A-axes I-interval L-labels S-scale