Jack is mowing a lawn that has a shed, Find the area of the lawn that jack has to mow.

The dimensions of the yard are 12x - 6 long and 7x wide.

The dimensions of the shed are 2x + 4 long and 4x wide.

Find a polynomial that describes the area of the lawn that needs to be mowed.

Step 1: Find the area of the lawn.

Step 2: Find the area of the shed.

Step 3: Find the area of the lawn by subtracting the shed area from the yard area.

76x^2 - 58x

Step-by-step explanation:

Area of the Yard: 7x(12x-6) = 84x^2-42x

Area of the Shed: 4x(2x+4) = 8x^2+16x

Area of the Lawn: 84x^2-42x -(8x^2+16x) = (84x^2-8x^2) + (-42x-16x) =

76x^2 - 58x

step-by-step explanation:

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints