The area of a rectangle is it's length times it's height. We are given polynomials for these values, so we can multiply them using the FOIL method to find the area.
FOIL stands for Firsts, Outers, Inners, Lasts. This means we multiply the first term of each polynomial together, the outer terms together, the inner terms together, and the last terms together.
(2x+5)(x-2)
The first terms are 2x and x, the outer terms are 2x and -2, the inner terms are 5 and x, and the last terms are 5 and -2:
2x^2 - 4x +5x - 10
Combine like terms:
2x^2 + x - 10
The third option is the correct answer.
You just divide 3 by 8. when 3 is inside the "house" and 8 is outside, 8 doesn't go into 3 so move on and 8 goes into 30 3 times. and so forth. 30-24=6 bring down the 0. 8 goes into 60 7 times. the decimal is 0.375. the percent is 37.5%.
Y=-2x^2-3x+4
dy/dx=-4x-3, d2y/dx2=-4
When the velocity, dy/dx=0, then y(x) is at an absolute maximum because the acceleration is a constant negative, -4.
dy/dx=0 only when -4x-3=0, -4x=3, x=-3/4
y(-3/4)=5.125
So the maximum value of y is 5 1/8
Answer:
Perimeter = 28 + 8x inches
Step-by-step explanation:
Length of the photograph = 7 inches
Width of the photograph = 5 inches
Both the length and width of the frame are 2x inches larger than the width and length of the photograph.
Length of the frame = 7 inches + 2x inches
Width of the frame = 5 inches + 2x inches
Perimeter of the frame = 2(Length + width)
= 2{(7+2x) + (5+2x)}
= 14 + 4x + 10 + 4x
= 28 + 8x inches
Perimeter = 28 + 8x inches
