Enter the correct answer in the box.

y = -x² + 60x + 256 in²

Explanation:

Before we begin, remember the following:

yᵃ × yᵇ = yᵃ⁺ᵇ

Now, for the given problem:

We know that the area of the rectangle is the product of its dimensions (length and width)

This means that:

Area of rectangle = length × width

Now, we are given that:

length of game board = x+4 in

width of game board = -x+64 in

Substitute with the givens in the rule it as follows:

Area of rectangle = length × width

Area of board game = (x+4)(-x+64)

Use the distributive property, compute the product and gather like terms as follows:

Area of board game = (x+4)(-x+64)

Area of board game = x(-x) + x(64) +4(-x) +4(64)

Area of board game = -x² + 64x - 4x + 256

Area of board game = -x² + 60x + 256 in²

Hope this helps :)

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: