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:
The correct answer is third option
x = 3
Step-by-step explanation:
It is given that,
4ˣ = 8⁽ˣ ⁻ ¹⁾
<u>To find the value of x</u>
4ˣ = (2²)ˣ
8⁽ˣ ⁻ ¹⁾ = (2³)⁽ˣ ⁻ ¹⁾
4ˣ = 8⁽ˣ ⁻ ¹⁾
(2²)ˣ = (2³)⁽ˣ ⁻ ¹⁾
2²ˣ = 2⁽³ˣ ⁻ ³⁾
2x = 3x - 3
3x - 2x = 3
x = 3
The correct answer is third option
x = 3
Answer:
Dividend
Divisor
The rule of division of polynomial which is same as division of real numbers states that
Dividend = Divisor × Quotient + Remainder
The division process is shown below.
Quotient = x+5
Remainder =0
Answer:72
Step-by-step explanation:
First you would multiply 6 with 3 and 9 because you would distribute. You would get 18+54 then you would add to get 72.
