Ben needs to buy an equal number of sunglasses and beach balls to place in gift bags. Each pair of sunglasses costs $4 and each beach ball costs $2.50. If he has $45 to spend on the sunglasses and beach balls, then the inequality 4x + 2.5x greater than or equal to 45 can be used to find the number of each item he can buy. How much money will he have left after buying the greatest number of sunglasses and beach balls?

Solve each quadratic equation by factoring and using the zero product property. n^2 - 49 = 0

The function p(x) is an odd degree polynomial with a negative leading coefficient. if q(x) = x3 + 5x2 - 9x - 45, which statement is true? a. as x approaches negative infinity, p(x) approaches positive infinity and q(x) approaches negative infinity. b. as x approaches negative infinity, p(x) and q(x) approach positive infinity. c. as x approaches negative infinity, p(x) and q(x) approach negative infinity. d. as x approaches negative infinity, p(x) approaches negative infinity and q(x) approaches positive infinity.

Find the length of segment bc. a) 2n b) √n c) √2n d) [tex]\frac{n\sqrt{2} }{2}[/tex] e) n√2