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Questions in Grade College

📝 Answered - Find the vertex of the given function. [tex]f(x)=|x+1|-7[/tex] The vertex is at ( $\square$ , $\square$ ).

📝 Answered - Which table represents a function? \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline-5 & -5 \\ \hline 0 & 0 \\ \hline-5 & 5 \\ \hline 6 & -6 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline-3 & -1 \\ \hline 0 & 0 \\ \hline-2 & -1 \\ \hline 8 & 1 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline-4 & 2 \\ \hline 3 & 5 \\ \hline 1 & 3 \\ \hline-4 & 0 \\ \hline \end{tabular}

📝 Answered - Which of the following ordered pairs are solutions of the equation [tex]$y=2 x$[/tex]? A. [tex]$(2,3)$[/tex] B. [tex]$(4,6)$[/tex] C. [tex]$(6,9)$[/tex] D. [tex]$(8,14)$[/tex] (A) A and B only (B) A, B, and C only (C) A, B, and D only (D) C and D only

📝 Answered - A sequence of numbers follows this rule: Multiply the previous number by -2 and add 3. The fourth term in the sequence is -7. a. Give the next 3 terms in the sequence. [tex]x(-2)+3=-7[/tex] b. Give the 3 terms that came before -7 in the sequence.

📝 Answered - Find the sum of the first 47 terms of the arithmetic sequence. [tex] \begin{array}{l} 30,41,52,63 \\ a_1=30 \\ d=11 \end{array} [/tex]

📝 Answered - A recent poll taken by the movie theatre industry shows that $28 \%$ of the population attends a movie in a theater at least once a month. A sample of 300 people shows that only $12 \%$ of people attends a movie in a theater at least once a month. To determine whether this sample supports the population proportion of 0.28 , a simulation of 100 trials is run, each with a sample size of 200 and a point estimate of 0.12 . The minimum sample proportion from the simulation is 0.10 , and the maximum sample proportion from the simulation is 0.28 . What is the margin of error of the population proportion using half the range? $\pm 0.03$ $\pm 0.05$ $\pm 0.07$ $\pm 0.09

📝 Answered - Write the number equal to 2 tens 15 ones.

📝 Answered - What are the solutions to [tex]$x^2+8 x+7=0$[/tex]? A. [tex]$x=-8$[/tex] and [tex]$x=-7$[/tex] B. [tex]$x=-7$[/tex] and [tex]$x=-1$[/tex] C. [tex]$x=1$[/tex] and [tex]$x=7$[/tex] D. [tex]$x=7$[/tex] and [tex]$x=8$[/tex]

📝 Answered - Franklin's Monthly Budget Franklin, a college student, crafted a monthly budget table to manage his finances. He listed income sources alongside expenses. By comparing projected and actual amounts, he aimed to control spending, save effectively, and avoid financial pitfalls. \begin{tabular}{|l|l|l|l|} \hline Category & Projected amount ($) & Actual amount ($) & Difference ($) \\ \hline Part-timo job & 800 & 750 & -50 \\ \hline Parental allowance & 300 & 320 & 20 \\ \hline Scholarships & 500 & 500 & 0 \\ \hline Giving tutorials & 150 & 170 & 20 \\ \hline Rent & 600 & 590 & 10 \\ \end{tabular} Using the formula for debt-to-income ratio: debt-to-income ratio $=\frac{\text { Total Monthly Expenne }}{\text { Total Monthly lineome }}$ What is Franklin's debt-to-income ratio, if the total monthly expense is $1,035 and the total monthly income is $1,740? A. 0.59 B. 0.72 C. 0.97 D. 0.66

📝 Answered - $\frac{\left(\frac{1}{3}\right)^7}{\left(\frac{1}{3}\right)^{-4}}$