To make a sign, a student cut off a small square piece from a poster board. She cut x inches from the width of the poster board and 2x inches from its length. The area of the original poster board in square inches can be represented by the quadratic expression 2x^2 + 24x+64. What was the area in square inches of the sign?

The angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

Use the frequency distribution, which shows the number of american voters (in millions) according to age, to find the probability that a voter chosen at random is in the 18 to 20 years old age range. ages frequency 18 to 20 5.9 21 to 24 7.7 25 to 34 20.4 35 to 44 25.1 45 to 64 54.4 65 and over 27.7 the probability that a voter chosen at random is in the 18 to 20 years old age range is nothing. (round to three decimal places as needed.)

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.