The area of a rectangle is 105 cm² they would have a rectangle is 7 centimeters what is the perimeter of the rectangle

P = 2(15 cm) + 14 cm =44 cm

Step-by-step explanation:

If the length of the rectangle is 7 cm, then the area would be A = 105 cm² = (7 cm)(width), and in turn the width would be (105 cm²) / (7 cm) = 15 cm

and the perimeter, P, would be  P = 2(width) + 2(7 cm)  =  2w + 14 cm.

But we know already that width = w 15 cm.

Thus, the perimeter of the rectangle is  P = 2(15 cm) + 14 cm =44 cm

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.