Answer:
Therefore the dimensions of the garden is 16 feet by 13 feet.
Step-by-step explanation:
Let the length of the garden be x and the width of the garden be y.
Given that the area of the rectangular garden is 208 square feet.
Therefore,
xy =208
Again given that,
The garden is to be surrounded on three sides by a brick wall costing $ 8 per feet and the remaining sides by a fence costing $5 per feet.
The perimeter of the rectangle is = 2(length+ breadth)
= 2(x+y)
=2x+2y
The total cost of fence
= (16x+ 8y +5y)
To find the maximum or minimum point, we need to find out and set =0.
Then
Again
Therefore at x= 13 , the cost is minimum.
Therefore x = 13 feet.
The other side of the garden is feet = 16 feet.
Therefore the dimensions of the garden is 16 feet by 13 feet.
I'm assuming you are asking 5x^2+7x = 6, and not 5*2 +7x = 6
We would use the quadratic formula to solve this.
5x^2+7x-6
(-7+-sqrt(7^2-4*5*-6))/2*5
(-7+-sqrt(49+120)/10
(-7+-sqrt(169)/10
(-7+-13)/10
-20/10=-2
6/10=3/5
So the answer is B) <span>x = –2 or x = 3/5</span>
3x+2=5x-2
2x=4
x=2 i think is the answer im not sure if i got it right im sorry if i did get it wrong