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Nimfa-mama [501]
2 years ago
10

what does the slope of -1 tell you about thr relationship between lengths and widths of rectangles with perimeter 24?

Mathematics
1 answer:
NeX [460]2 years ago
8 0

Using linear function concepts, the slope of -1 means that when one of the length/width is increased by 1, the other is decreased by 1.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • The lengths and the widths are interchangeable, that is, either can be considered as the input or as the output.
  • The slope of -1 means that when the input in increased by 1, the output is decreased by -1, that is, when one of the length/width is increased by 1, the other is decreased by 1.

You can learn more about linear function concepts at brainly.com/question/24808124

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Will wanted to make some brownies using the pan shown below.
luda_lava [24]

Answer:

108 since in order to find out the maximum amount, we have to find the volume of the full pan, which is found by the formula shown below:

Vbrownie batter=L×W×H=9×8×1.5=108cubic inches

5 0
4 years ago
If I owe you $1.76 in overtime pay, you receive $19.50 for each hour of OT. How many hours overtime are you owed?
Lady_Fox [76]

Answer: 0.09 hours

Step-by-step explanation:

You are owed $1.76 in overtime pay.

The hourly rate for overtime is $19.50 per hour.

To find the number of hours owed, you need to divide the amount owed by the amount owed per hour.

The number of hours you are owed is therefore:

= Amount owed / Amount owed per hour

= 1.76 / 19.50

= 0.09 hours

6 0
3 years ago
For a given input value x, the function f outputs a value y to satisfy the following equation.
olasank [31]
F(x)=5x-26 is your correct answer
6 0
3 years ago
Given that the population density of Georgia is 170 people per square mile and 10,100,000 people live in Georgia, what is the ar
WINSTONCH [101]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Number of people living in Georgia = 10,100,000

Number of people living in per square mile = 170

So, we need to find the area of the state :

So, Area of the state is given by

\frac{\text{Total Population}}{\text{ Number of people per square mile }}\\\\=\frac{10100000}{170}\\\\=59411.76\\\\=59400(\text{ nearest hundred }mi^2)

Hence, Option 'D' is correct.

7 0
3 years ago
Read 2 more answers
If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible
Evgen [1.6K]

Answer:

Volume = 7969 cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box  be A and the height of the box be H.

Area of material required to make the box  is equal to  is A^2 + 4*A*H.

A^2 + 4*A*H = 1900

 Rearranging the above equation, we get -  

`H = \frac{(1900 - A^2)}{(4*A)}

Volume of box is equal to product of base area of box and the height of the box -  

V = A*A* H

Substituting the given area we get -

\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}

For maximum volume

\frac{dV}{dA} =0

\frac{ 1900}{4} - \frac{3*A^2}{4} = 0

A^2 = \frac{1900}{3}

Volume of the box

= \frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }

= 7969 cubic centimeter

3 0
3 years ago
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