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Questions in mathematics

[Done] Select the correct answer. Which expression is equivalent to this polynomial? $6 x^2+10 x-56$ A. $4(x-4)-2(3 x^2+3 x-20)$ B. $(3 x^2+5 x-28)+(3 x^2-5 x-28)$ C. $4(x-4)+2(3 x^2+3 x-20)$ D. $(3 x^2+5 x-28)-(3 x^2+5 x-28)$

[Done] $\frac{2}{2}+1.75-\frac{44}{25}=$ $\square$ Enter the answer as an exact decimal or simplified fraction.

[Done] To predict future enrollment in a school district, fifty households within the district were sampled and asked to disclose the number of children under the age of five living in the household. The results of the survey are presented in the table. Complete parts (a) through (c) below. \begin{tabular}{cc} \hline \multicolumn{2}{l}{\begin{tabular}{l} Number of Children Number of under 5 \end{tabular}} \\ \hline 0 & \begin{tabular}{c} Households \\ \hline 1 \end{tabular} \\ \hline 2 & 14 \\ \hline 3 & 16 \\ \hline 4 & 16 \\ \end{tabular} (a) Construct a relative frequency distribution of the data. \begin{tabular}{l|l|l} \hline \multicolumn{2}{l}{ Number of } & \multicolumn{2}{l}{ Relative } \\ Children under 5 & Frequency \\ \hline 0 & & \\ \hline 1 & & \\ \hline 2 & & \\ \hline 3 & & \\ \hline 4 & & \ \end{tabular} (Type integers or decimals. Do not round.)

[Done] Carly tutors students in math on the weekends and offers both thirty-minute sessions and sixty-minute sessions. She earns $15 for each thirty-minute session and $25 for each sixty-minute session. If she earned $230 this past weekend and had x thirty-minute sessions and x-2 sixty-minute sessions, what is the value of x? A. 6 B. 7 C. 8 D. 5

[Done] Simplify the following expression: $-10 b^2-\left(-9 b^2-4\right)$

[Done] Select the correct answer. What is the solution set of this inequality? [tex]$8(x-5)-3 x \geq-20$[/tex] A. [tex]$x \geq-3$[/tex] B. [tex]$x \geq 4$[/tex] C. [tex]$x \leq 12$[/tex] D. [tex]$x \leq-12$[/tex]

[Done] Suppose the times to cook meat on a grill are normally distributed with a mean of 23 minutes and a standard deviation of 1.9 minutes. What is the difference in times between grilled meat that has a [tex]$z$-score[/tex] of 2 and another meat that has a [tex]$z$-score[/tex] of -1?

[Done] Solve for $a$. $P=a+b-7$

[Done] Write this expression in its most simplified, factored form. [tex]12 x^2 y-32 x y+8 y[/tex] Do not include multiplication symbols ($\cdot$ or x) between factors.

[Done] Which solution shown below contains an error? $\frac{3}{x}+\frac{4}{x^2}=\frac{3 x}{x^2}+\frac{4}{x^2}=\frac{3 x+4}{x^2}$ $\frac{1}{x+2}+\frac{1}{x+2}=\frac{2}{x+2}=\frac{1}{x+1}$ $\frac{2}{x+1}+\frac{8}{x-6}=\frac{2 x-12}{(x+1)(x-6)}+\frac{8 x+8}{(x+1)(x-6)}=\frac{10 x-4}{(x+1)(x-6)}$