Keenan buys an embroidery machine for $1,400. He uses it to embroider T-shirts. His total profit in dollars from selling the T-shirts is represented with the function f(x) = 12x − 1,400. When the machine breaks, he pays $135 to have it fixed. How does that cost affect a graph of Keenan’s profit function?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (–4, 0) and (6, 0). the y-intercept of the first parabola is (0, –12). the y-intercept of the second parabola is (0, –24). what is the positive difference between the a values for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth

Aladder that is 20 ft. long against the side of a building. f the angle formed between the ladder and the ground is 75 degrees, how far is the bottom of the ladder from the base of the building?

Which of the following inequalities matches the graph? a. 2x+y< 7 b. 2x-y> 7 c. 2x+y< -7 d. the correct inequality is not listed