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Questions in Grade College

[Answered] Subtract: $\left(y^3+2 v\right)-\left(-6 y^3\right)$ Your answer should be in simplest terms.

[Answered] A dental assistant has no prior work experience. What should be included on their resume? A. Customer service experience B. A blank section C. Personal opinions on dentistry D. Favorite dental procedures

[Answered] \begin{tabular}{|l|l|} \hline Steps & Justification \\ \hline $2,600=150 x+50$ & given \\ \hline $2,600-50=150 x+50-50$ & subtraction property of equality \\ \hline $2,550=150 x$ & simplification \\ \hline $\frac{2,550}{150}=\frac{150 x}{150}$ & division property of equality \\ \hline $17=x$ & simplification \\ \hline \end{tabular}

[Answered] The two forms of democracy are: A. national and state. B. republican and democrat. C. local and national. D. direct and representative.

[Answered] Fill in the missing steps for the derivation of the quadratic formula using the choices below. A: [tex]x+\frac{b}{2 a}=\frac{ \pm \sqrt{b^2-4 a c}}{2 a}[/tex] B: [tex]x^2+\frac{b}{a} x=\frac{-c}{a}[/tex] C: [tex]x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}[/tex] D: [tex]\left(x+\frac{b}{2 a}\right)^2=\frac{-4 a c+b^2}{4 a^2}[/tex] Step 1: [tex]a x^2+b x+c=0[/tex] Step 2: [tex]a x^2+b x=-c[/tex] Step 3: [ ] Step 4: [tex]x^2+\frac{b}{a} x+\frac{b^2}{4 a^2}=\frac{-c}{a}+\frac{b^2}{4 a^2}[/tex] Step 5: [ ] Step 6: [ ] Step 7: [tex]x=-\frac{b}{2 a} \pm \frac{\sqrt{b^2-4 a c}}{2 a}[/tex] Step 8: [ ]

[Answered] If [tex]f(x)=4-x^2[/tex] and [tex]g(x)=6x[/tex], which expression is equivalent to [tex](g-f)(3)[/tex]? A. [tex]6-3-(4+3)^2[/tex] B. [tex]6-3-(4-3^2)[/tex] C. [tex]6(3)-4+3^2[/tex] D. [tex]6(3)-4-3^2[/tex]

[Answered] The owner of a car wash is using the chart below to decide whether or not to hire one additional worker. What do you think the owner's rational decision will be when considering marginal costs and benefits? \begin{tabular}{|c|c|c|}\hline Number of car washes & Revenue earned per car wash & Marginal Revenue \\ \hline 50 & $5 & $250 \\ \hline Hours worked & Pay per hour & Marginal Cost \\ \hline 30 & $9 & $270 \\ \hline\end{tabular} A. The owner will make a rational decision by hiring the worker because the marginal costs of $270 per week are greater than the marginal benefits of $250 per week. B. The owner will make a rational decision by not hiring the worker because the marginal costs of $270 per week are greater than the marginal benefits of $250 per week. C. The owner will make a rational decision by hiring the worker because the marginal costs of $270 per week will be offset by the benefit of doing more car washes each week. D. We do not know enough information to determine whether or not the decision is rational.

[Answered] Raj's bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, [tex]y[/tex], is a function of the time in minutes, [tex]x[/tex], that it has been draining. | [tex]x[/tex] | [tex]y[/tex] | |---|---| | 0 | 40 | | 0.5 | 39.25 | | 1 | 38.5 | What is the range of this function? A. all real numbers such that [tex]37.75 \leq y \leq 40[/tex] B. all real numbers such that [tex]0 \leq y \leq 40[/tex] C. all real numbers such that [tex]y \geq 0[/tex] D. all real numbers such that [tex]y \leq 40[/tex]

[Answered] Find the value of [tex]$b$[/tex] and [tex]$YZ$[/tex] if [tex]$Y$[/tex] is between [tex]$X$[/tex] and [tex]$Z$[/tex]. [tex]\begin{array}{l} X Y=6 b, Y Z=8 b, X Z=175 \\ b=\square \\ Y Z=\square\end{array}[/tex]

[Answered] Explain how the donations from Donors Choose will make a difference for my fourth grade students.