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Questions in Grade College

[Free] Find the slope of the line containing the points $(4,-7)$ and $(6,-8)$. A. 8 B. $-3 / 2$ C. $-1 / 2$ D. -2

[Free] Use the zero product property to find the solutions to the equation $(x+2)(x+3)=12$. A. $x=-1$ or $x=6$ B. $x=-3$ or $x=-2$ C. $x=-6$ or $x=1$ D. $x=2$ or $x=3$

[Free] A parabola can be represented by the equation $y^2=-x$. What are the coordinates of the focus and the equation of the directrix? A. focus: $\left(-\frac{1}{4}, 0\right)$; directrix: $x=\frac{1}{4}$ B. focus: $\left{\frac{1}{4}, 0\right\}$ ) directrix: $x=-\frac{1}{4}$ C. focus: $(-4,0)$; directrix: $x=4$ D. focus: $(4,0)$; directrix: $x=-4$

[Free] Simplify each expression: a) $\frac{17}{\sqrt{10}}=$\square b) $\sqrt{\frac{343}{20}}=$\square c) $\frac{15}{\sqrt{5 c}}=$\square Note: To input $a \sqrt{b}$ type "a sqrt(b)". To input $a \sqrt[b]{c}$ type "a root(b)(c)".

[Free] \begin{array}{c} 3 x-2 y=-12 \ y=4 x+1 \end{array}

[Free] Which of the following is an example of an opportunity cost? A. lower future investment earnings as a result of purchases B. interest earned on a savings account C. the cost of a needed car repair D. salary or wages earned on a part-time job

[Free] $(x-1)(x-4)(x-5) \leq 0

[Free] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Free] Solve each equation for the indicated variable. Round answers to two decimal places as necessary. $\sqrt[3]{B}=-15$

[Free] What is the quotient of [tex]$\left(2 x^4-3 x^3-3 x^2+7 x-3\right) \div\left(x^2-2 x+1\right)$[/tex]?