The expression 2w^2 + 10w represents the area of a rectangle with width of w inches. select the situation that could be represented by the expression 100-10w-2w^2​

Option C

Step-by-step explanation:

We know that the expression:

2*w^2 + 10*w

Represents the area of a rectangle with width w.

Now we want to find the situation that can be represented with the expression:

100 - 10*w - 2*w^2

Let's rewrite this as:

100 - (2*w^2 + 10*w)

Then we are subtracting the area of our rectangle to an area of measure 100.

Now, suppose that we have a square of 10in by 10 in.

The area of that square will be:

A = 10in*10in = 100 in^2

Now if we cut our rectangle (with an area = 2*w^2 + 10*w) from that square, the new area of the figure will be:

area = 100in^2 - (2*w^2 + 10*w)

Which is exactly the expression in the question, then the correct option is:

Option C

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

94

step-by-step explanation:

average the numbers and use a variable to figure out the minimum to get a 90.

(79+94+91+92+x)/5=90

x = 94