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Questions in mathematics

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

📝 Answered - Which function rule models the function over the domain specified in the table below? | x | f(x) | | --- | ---- | | -7 | -11 | | -1 | 1 | | 3 | 9 | | 4 | 11 | | 7 | 17 | A. [tex]$f(x)=3 x+10$[/tex] B. [tex]$f(x)=2 x+3$[/tex] C. [tex]$f(x)=4 x+5$[/tex] D. [tex]$f(x)=3 x-10$[/tex]

📝 Answered - Enter the values for $a$ and $b$ that complete the sum: [tex]\frac{3}{x}+\frac{5}{x^2}=\frac{a x+b}{x^2}[/tex] $a=\square$ $b =\square$

📝 Answered - Indicate the values for which the rational expression is undefined, then state the domain: 5. [tex]$\frac{1-9 x^2}{3 x^2-x}$[/tex] 6. [tex]$\frac{y^2-2 y}{y^2-y-2}$[/tex]

📝 Answered - You have a restaurant bill of $61.45. If you are taxed 8 1/2 % and decide to tip your server 15 %, how much is your total? A. $75.65 B. $75.89 C. $76.32 D. $76.67

📝 Answered - Evaluate the expression if [tex]$a=7, b=9$[/tex], and [tex]$c=4$[/tex]. [tex]$7(a b+c)$[/tex]

📝 Answered - Find $1 \frac{2}{3}+\left(-2 \frac{1}{2}\right)$. Show your work.

📝 Answered - Evaluate the expression for [tex]$f=-7$[/tex] and [tex]$g=-13$[/tex]. [tex]$f g+g=$[/tex]