91Ó°ÊÓ

In the sport of pole-vaulting, the height \(h\) (in feet) reached by a pole- vaulter can be approximated by a function of \(v,\) the velocity of the pole- vaulter, as shown in the model below. The constant \(g\) is approximately 32 feet per second per second. Pole-vaulter height model: \(h=\frac{v^{2}}{2 g}\) . What height will a pole-vaulter reach if the pole-vaulter's velocity is 32 feet per second?

Determine whether the ordered pair is a solution of the system of linear equations. $$ \begin{aligned} &x+9 y=-11\\\ &-4 x+y=-30 \quad(7,-2) \end{aligned} $$

Graph the inequality. \(y-3 x \geq 2\)

Find the reciprocal. 18

Add. Write the answer as a mixed number in simplest form. $$ 1 \frac{2}{3}+\frac{1}{6} $$

Tell whether the equation has two solutions, one solution, or no real solution. $$ 4 x^{2}+4 x+1=0 $$

List all the factors of the number. 48

Simplify the expression. $$ \frac{10 \sqrt{8}}{\sqrt{25}} $$

List all the factors of the number. 112

The distance from the sun to Earth is approximately \(1.5 \times 10^{8} \mathrm{km} .\) The distance from the sun to the planet Neptune is approximately \(4.5 \times 10^{9} \mathrm{km} .\) What is the ratio of Earth's distance from the sun to Neptune's distance from the sun?