Write (4n^4)^2 without exponents

On a citrus farm, the average annual yield of oranges is 124 pounds per tree when the number of trees is 22 per acre. For each a

ELEN [110]

Answer:

Number of orange trees = 3528

Step-by-step explanation:

Given: Average annual orange yield = 124 pounds (lbs) per tree

Number of trees = 22 per acre

Each tree produces 124 pounds, so 22 trees will produce

124*22 = 2728 lbs per acre

For every additional tree over 22, 2 pounds per tree is lost.

So, if you add x trees, you lose 2x pounds.

Thus, we have the function:

f(x) = (124 - 2x)*(22 + x) for the added tree(s)

$f(x) = 2728 + 80x - 2x^{2}$

For quadratic equations like this, the maximum(or minimum) is obtained by substituting x= -b/2a into the given equation. a and b are obtained from the general form of a quadratic equation:

$y =ax^{2} + bx + c$

Comparing this with f(x), we have that

a = -2 (coefficient of x2)

b = 80 (coefficient of x)

Using these values in x = -b/2a, we get

$x = -\frac{80}{2*(-2)} = 20$

So, use x = 20 in the maximum function we got earlier

$f(x) = 2728 + 80(20) -2(20^{2}) = 2728 + 1600 - 800\\ \\f(x) = 3528$

Therefore, the number of oranges that should be planted in order to maximize the number of pounds of oranges per acre = 3528

3 0

3 years ago

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

77julia77 [94]

Answer:

C. It has been stretched horizontally.

Step-by-step explanation:

According to the diagram, the parabola has not been reflected in any way, nor has it been translated, since the parabola is pointing up in a smile, and the vertex is still at the origin.

The parabola does appear to be stretched, since the parent function had points at (1, 1), and (2, 4), but this parabola does not contain those points.

Since the parabola appears to be flatter than the parent function, we can say that C. It has been stretched horizontally.

Hope this helps!

3 0

4 years ago

Read 2 more answers

Ellen deposits $6,773 into an account earning 1% annually, After seven years what will Ellen's balance have grown to, including

lara31 [8.8K]

<span>If Ellen deposited 6 773 dollars in her account and did not withdraw any amount for 7 years.
Then she will earn this amount.
=> 1% interest rate per year
=> first year = 6 773 x .01 = 67.73
=> 6773 + 67.73 = 6840.73
=> Second year = 6840.76 * .01 = 68.4073
=> 68.4073 + 6840.76 = 6909.1673
=> Third year = 6909.1673 * .01 = 69.09
=> 6909.1673 + 69.09 = 6978.26
=>4th year = 6978.26 * .01 = 69.78
=> 6978.26 + 69.78 = 7004
=> 5th year = 7004 *.01 = 70.04
=> 7004 + 70.04 = 7074.04
=> 6th year = 7074.04 * .01 = 70.74
=> 70.74 + 7074.04 = 7144.78
=> 7th year = 7144.78 *.01 = 74.45
=> 7144.78 + 74.45 = 7216.23</span>

3 0

4 years ago

Which system of equations can be used to find the roots of the equation 12 x cubed minus 5 x = 2 x squared + x + 6? StartLayout

OverLord2011 [107]

Answer:

A

Step-by-step explanation:

12x³-5x=2x²+x+6

y=12x³-5x

y=2x²+x+6

7 0

3 years ago

what is the distance from the origin to the midpoint of the line segment defined by the endpoints (-4, 0) and (2, -2)?

Zielflug [23.3K]

Answer. I hope it helps you !!

5 0

3 years ago