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4 years ago

The area of the rectangle is 24 square inches. How much longer is its length than its width

Mathematics

1 answer:

olga2289 [7]4 years ago

5 0

The length could be 6,8,or 12. the width could be 4,3,or 2. the length could be 2,5,or 10 inches longer than th width

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Total profit P is the difference between total revenue R and total cost C. Given the following total-revenue and total-cost fu

gavmur [86]

Answer:

The profit function is:

$P(x)=-x^2+1280x-3300$

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

$R(x)=1300x-x^2$

And the cost function is:

$C(x)=3300+20x$

Then the total profit function will be:

$P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300$

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

$\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)$

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

$\displaystyle x=-\frac{1280}{2(-1)}=640$

And the maximum profit will be:

$P(640)=-(640)^2+1280(640)-3300=406300$

5 0

3 years ago

Read 2 more answers

12 x − 15 = 6 − 3 x

11Alexandr11 [23.1K]

Answer:

x= 7/5 (1 2/5 or 1.4)

Step-by-step explanation:

Move the variable to the left-hand side and change its sign.

12x-15+3x=6

Move the constant to the right-hand side and change its sign.

12x+3x=6+15

Collect like terms.

15x=21

Divide both sides of the equation by 15.

x=7/5 (1 2/5 or 1.4)

5 0

3 years ago

Solve for the angle x.

sergejj [24]

Answer:

x=45

Step-by-step explanation:

An entire triangle is 180 degrees and you already know that one angle is 90 degrees. 180 - 90 is 90. Now you have the equation 2x=90.

You then divide each side by 2 to get the x by itself which leaves you with x=45.

8 0

3 years ago

Read 2 more answers

For the first football game of the season, 62732 fans attended. The number of fans at the second game was 469 morw than at the f

ziro4ka [17]

There was 125,933 fans that attended both games.

8 0

3 years ago

Can someone pls help me :-(

spayn [35]

Answer:

One: x = 3/32

Two: y = 3/10

Step-by-step explanation:

One

y = k*x

1/4 = k* 1/8 Multiply both sides by 8

8(1/4) = 8*k*(1/8)

8/4 = k

k = 2

=======================

3/16 = 2*x Divide by 2

3/32 = x

Two

y = 2/5

x = 1/3

2/5 = k * 1/3 Multiply both sides by 5

2 = 5*k * 1/3

2 = 5/3 * k Multiply both sides by 3

6 = 5 * k Divide both sides by 5

6/5 = k

y = 6/5 * x

x = 1/4

y = 6/5 * 1/4

y = 6/20 = 3/10

5 0

3 years ago