1. Which of the following quadratic equations have real solutions Select all that apply.
-3x^2 + 5x = 11
-x^2-12x +6=0
2x^2+ x + 6 = 0
5x^2 - 10x = 3
x^2- 2x = -8

Explain how you can use the associative property to evaluate (7x50)x4.

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3