Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
Answer: 11
Step-by-step explanation: 2x^5 + 4x^4 – x^3 - x^2 + 7= 11
2x^2 - 1= 1
2x^5 + 4x^4 – x^3 - x^2 + 7 is divided by 2x^2 - 1.=11
Answer:
Step-by-step explanation:
we know that
To find out how many frames she can make with the exiting material, divide 1 5/8 by 3/4
so
Convert mixed number to an improper fraction
substitute
Simplify
Convert to mixed number
Answer:1/2
Step-by-step explanation:
Answer:
D (-6, -34)
Step-by-step explanation:
y = 5x - 4
Let x = -6
y = 5(-6) - 4
=-30 -4
= -34
x = -6, y= -34
