Let $b$ and $c$ be constants such that the quadratic $-2x^2 + bx + c$ has roots $3+/sqrt{5}$ and $3-/sqrt{5}$. Find the vertex of the graph of the equation $y=-2x^2 + bx + c$.

Riley started selling bracelets. During the first month she sold 400 bracelets at $10 each. She tried raising the price, but for every $0.50 she raised the price, she sold 8 fewer bracelets.

Is x = - 4 a solution to 1/3 (2x + 5) > - 1? Explain how you know.

A shoe store is selling a pair of shoes for $60 that has been discounted by 25% what was the original selling price

Papa john is 50 years old. His age is 2 years more than 3 times the age of jimmy John

Which example illustrates the associative property of addition for polynomials? [ (2x2 + 5x) + (4x2 - 4x) ] + 5x3 = (2x2 + 5x) + [ (4x2 - 4x) + 5x3] [ (2x2 + 5x) + (4x2 - 4x) ] + 5x3 =

a car has 15 gallons of gas in its tank the car travels 35 miles per gallon of gas how much gas does the car used to go 100 miles

Identify all factors of the expression 4x^2+17x-15 a. 2 b. 3 c. x - 5 d. x + 5 e. 4x - 3 f. 4x + 3

Factor out the common terms 6m - 21p

local bank employs 36 individuals of which 15 are smokers. What is the ratio, in simplest form, of the non-smokers to the total number of employees at the local bank?

Peter buys a small wind turbine for use on his farm. It generates 13,000 kWh of electricity in the first year. He uses 7,570 kWh of electricity and sells the remaining kWh to his energy suppliers. He receives £412.68 for the electricity he sells.