Ithink its b
an rug has an area of 150 ft2. the width of the rug is 5 feet less than the length.
which equation models the area of the rug?
x(x - 5) = 150
x(x + 5) = 150
2x - 5 = 150
x(5 - x) = 150

Assuming that the rug is rectangular in shape, therefore the formula of area is:

A = l w                                   ---> 1

where l is the length of the rug and w is the width of the rug

We are given that the width of the rug is 5 feet less than the length, therefore:

w = l – 5                                ---> 2

Combining equations 1 and 2 and knowing that A = 150 will give us:

l (l – 5) = 150

In the given choices, l = x, therefore:

x (x – 5) = 150

Hence the correct answer is the 1st one (A)

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.