Wilson cuts rectangular mats for picture frames. The area of the mat before it is cut is represented by the function M(x) = 4.5x2 + 17x + 16. The area that is cut out and removed from the middle of the mat is represented by the function N(x) = x2 + 6x. If x is the width of the portion of the mat that is cut out, which function best describes A(x), the area of the cut mat?
A.
A(x) = 3.5x2 + 11x + 16

B.
A(x) = 5.5x2 + 23x + 16

C.
A(x) = 4.4x2 + 17x + 10

D.
A(x) = 4.5x2 + 16x + 10

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

35-60 students are taking math.

thus, the first answer choice, y = sec x, is the correct one