"When a shoe costs $80.00, there are 300 sales. Every

An egg distributer determines that the probability that any individual egg has a crack is 0.15.
​a) Write the binomial probability formula to determine the probability that exactly x eggs of n eggs are cracked.
​b) Write the binomial probability formula to determine the probability that exactly 2 eggs in a​ one-dozen egg carton are cracked. Do not evaluate.

Solve the following linear and quadratic systems of equations:
y + 3x = -2 or 3x +2 = y
y = ${\displaystyle x^2}$

Find all values of a that satisfy the inequality for all (x,y).

Show that ${\displaystyle \left|a\right|+\sqrt{a^2+\left|b\right|}\le (1+\sqrt{2})\left|r_1\right|}$ for the larger root ${\displaystyle r_1\text{or}{x}^2-2ax+b}$

Let ${\displaystyle \frac{1}{2}<\cos 2A<1}$ and ${\displaystyle 6\tan A-6{\tan }^{3}A={\tan }^{4}A+2{\tan }^{2}A+1}$, find ${\displaystyle \tan 2A}$

How do you find the y intercept, the equation of the axis of symmetry and the x-coodinate of the vertex
${\displaystyle f\left(x\right)=x^2-10x+5?}$