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Questions in mathematics

[Jawaban] The vertex form of the equation of a parabola is $y=(x-3)^2+36$. What is the standard form of the equation? A. $y=x^2-6 x+45$ B. $y=x^2+x+18$ C. $y=3 x^2-6 x+45$ D. $y=x^2+6 x+36$

[Jawaban] Which ordered pairs are in the solution set of the system of linear inequalities? [tex] \begin{array}{l} y \geq-\frac{1}{2} x \\ y\ \textless \ \frac{1}{2} x+1 \end{array} [/tex] (5,-2), (3,1), (-4,2) (5,-2), (3,-1), (4,-3) (5,-2), (3,1), (4,2) (5,-2), (-3,1), (4,2)

[Jawaban] Chris's convertible gets gas mileage that is 40 percent greater than that of Stan's SUV. If Harry's hatchback gets gas mileage that is 15 percent greater than Chris's convertible, then Harry's hatchback gets what percent greater gas mileage than that of Stan's SUV?

[Jawaban] Multiply and simplify. $\left(7 n^3-\frac{28}{9} n^2-\frac{14}{5} n\right)\left(\frac{2}{7} n^2\right)$ $\left(7 n^3-\frac{28}{9} n^2-\frac{14}{5} n\right)\left(\frac{2}{7} n^2\right)=$ (Use integers or fractions for any number in the answer.)

[Jawaban] Evaluate the limit using L'Hopital's rule [tex] \lim _{x \rightarrow \infty} \frac{15 x^2}{e^{4 x}} [/tex]

[Jawaban] Which of these is a correct expansion of $(3 x-1)(4 x^2+5)$? A. $3 x \cdot 4 x^2+(-1) \cdot 4 x^2+4 x^2 \cdot 5+(-1) \cdot 5$ B. $3 x \cdot 4 x^2+3 x \cdot 5+(-1) \cdot 4 x^2+(-1) \cdot 5$ C. $3 x \cdot 4 x^2+3 x \cdot 5+1 \cdot 4 x^2+1 \cdot 5$

[Jawaban] \(\left(\frac{r}{s}\right)(3)=\)

[Jawaban] Simplify the following: [tex]$\frac{|-7-(-4)|-|-5|}{-5^2}$[/tex]

[Jawaban] An arc on a circle measures $250^{\circ}$. Within which range is the radian measure of the central angle? A. 0 to $\frac{\pi}{2}$ radians B. $\frac{\pi}{2}$ to $\pi$ radians C. $\pi$ to $\frac{3 \pi}{2}$ radians D. $\frac{3 \pi}{2}$ to $2 \pi$ radians

[Jawaban] A dot plot is similar to which other type of graph, but with more emphasis on individual data points? (A) Bar Chart (B) Histogram (C) Line Graph (D) Pie Chart