For what values of a, values of the function y=x2+(a−2)x+0.25 are nonnegative?

Step-by-step explanation:

Consider the function This function represents the parabola with branches that go in positive y-direction (because the leading coefficient is 1>0).

The disriminant of this quadratic function is

When the discriminant is ≥0, the quadratic function will take nonnegative values, thus,

then

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

the answer is c.

step-by-step explanation: