The area of this rectangle is given by the quadratic function

a = 50w - w2.

what is the reasonable domain for this function?
a) 0 < x < 50
b) 0 < x < 100
c) 0 < x < ∞
d) −∞ < x < ∞

The function uses W as the variable but the options show only x's as the variable, so I'm asumming W in the answer

0 < W < 50

Correct option: A

Step-by-step explanation:

Domain of functions

Some functions have restricted values of the independent variable x. It can be due to mathematical restrictions, like dividing by 0 or taking the square root of a negative number, of it can be due to practical conditions of the situation being modeled.

In this case, the area of a rectangle is given by the quadratic function.

Since the area of a rectangle cannot be negative (and should be positive, though it could be zero), the practical domain of A is determined when

Taking common factor W

Since W must be positive W>0

Or equivalently

The total interval is

Correct option: A

Please note: The real restriction should be

if we allowed the area to be positive, but I'm providing the most possible correct available option

answer: -2+√x,-2-√x

i hope this , i don't know if you're looking for a pair or not.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.