Does (5, 4) make the equation y = –7x true? Yes Or No

The area of a shape is the amount of space it occupies.

The dimensions to build the largest possible athletic complex is 100 by 50 feet

Assume the length of the fence is y.

So, we have:

[tex]\mathbf{Area = xy}[/tex]

[tex]\mathbf{Perimeter = 2y + 4x}[/tex]

Substitute 400 for perimeter

[tex]\mathbf{2y + 4x = 400}[/tex]

Divide through by 2

[tex]\mathbf{y + 2x = 200}[/tex]

Make y the subject

[tex]\mathbf{y = 200 -2x}[/tex]

Substitute [tex]\mathbf{y = 200 -2x}[/tex] in [tex]\mathbf{Area = xy}[/tex]

[tex]\mathbf{Area =x(200 - 2x)}[/tex]

[tex]\mathbf{Area =200x - 2x^2}[/tex]

Differentiate

[tex]\mathbf{A' =200 - 4x}[/tex]

Set to 0

[tex]\mathbf{200 - 4x = 0}[/tex]

Collect like terms

[tex]\mathbf{4x = 200}[/tex]

Divide both sides by 4

[tex]\mathbf{x = 50}[/tex]

Recall that: [tex]\mathbf{y = 200 -2x}[/tex]

So, we have:

[tex]\mathbf{y = 200 - 2 \times 50}[/tex]

[tex]\mathbf{y = 200 - 100}[/tex]

[tex]\mathbf{y = 100}[/tex]

Hence, the dimensions to build the largest possible athletic complex is 100 by 50 feet

Read more about areas and perimeters at:

https://brainly.com/question/11957651

Answer:

Step-by-step explanation:

I really need points but good luck with your question

Answer:

650

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

7.5

Step-by-step explanation:

because 7.5 x 16 = 120

Answer:

576$

Step-by-step explanation:

$800×9/100×8=576$

Answer:

You will put one mark in front of 5 and the other in front of 10. For question a the answer is 11 is to the right of 6. For question B the correct answer is that 11 is greater then 6 or >

Step-by-step explanation:

Answer:

x= 4.66

v-9= 63

Step-by-step explanation:

Hope this helps! :)

*Victor was 72 btw*

Answer:

27 cm

Step-by-step explanation:

the radious of the pot:

[tex]v=\pi r^{2} h[/tex]

[tex]264=\pi r^{2} (8)[/tex]

[tex]r^{2} =\frac{264}{8\pi }[/tex]

The height of pot B

[tex]891=\pi (\frac{264}{8\pi })h[/tex]

[tex]891=(\frac{264}{8} )h[/tex]

[tex]h=\frac{(891)(8)}{264} =27[/tex]

I hope this help you

Answer:

4y+8x

Step-by-step explanation:

well, because that was the only one that did not have a line on desmos.

Since, 100 is a positive integer and is a counting number. Hence, it is considered to be a whole number.

You can't really do anything with it cause it's fully simplified

Answer:

Nothing you can do because it is already simplified. So yea

Step-by-step explanation:

Answer:

863.83

Step-by-step explanation:

es por qué es un número multimedios y los los número se asen pares

dl

Answer:

15 feet

Step-by-step explanation:

Answer:

15 feet is the answer ok

Answer:

-4 and -2✓6+3

Step-by-step explanation:

use pemdas

1(1-8)÷✓1 + 3

-7÷1+3

-4

6(6-8)÷✓6+3

-12÷✓6+3

multiply fraction by ✓6 on bottom and top to get rid of square root on bottom

-12✓6÷6+3

divide -12 by 6 and put radical next to it

-2✓6+3

Answer:

68.4210526316

you first divide 19/100 and then you divide the out put 13/ 0.19

Step-by-step explanation:

Answer:

2.33yd or 2 1/3yd

Step-by-step explanation:

7/3=2.33

Answer:

62 pages per hour.

Step-by-step explanation:

Divide 124  ÷ 2.

Answer:

$3,039.79

Step-by-step explanation:

Answer: its either c or b

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

we take two points to find slope m

lets take ( 1, 4) and ( 2, 1)

then m=(1-4)/(2-1)

m=(-3)/(1)

m= -3

Answer:

lotion 3,. suspension 2, capsule 1 , I think

Answer:

52

Step-by-step explanation:

15 x 3 = 45

2 x 4 = 8

45 + 8 =52

Answer:

The answer is 53

Step-by-step explanation:

Its 53 because 3 fifteens is equal to 45 and 4 two's is equal to 8 so you just have to add 45+8=53

Answer:

Yes, Each value in the domain goes to only one value in the range.

Step-by-step explanation:

Since each x goes to a different y value, the relation is a function

Each value in the domain goes to only one value in the range.

Answer:

Step-by-step explanation:

The y-intercept of the equation is -8.

You can test this by making X = 0 and solving algebraically. Similarly, if you make y = 0, you can solve the X value. This means X = 8/5

Co-ordinates (8/5, -8)

Answer:

Olivia typed speed per minutes is 54 words

Step-by-step explanation:

Given:

Olivia typed 36 word in 2/3

Solution:

By Unitary method, calculate the speed of typing by Olivia as-

2/3 Minutes → 36 Words

1 Minutes → 36 ÷(2/3) Words

1 Minutes → 36x3÷2 Words

1 Minutes → 54 Words

Therefore Olivia typed speed is 54 word.

Answer:

12= ax - x + b

Step-by-step explanation:

5x -4(x - 3) - 8 = ax + b

5x -4x + 12 - 8 = ax + b

x + 12 = ax + b

12= ax - x + b

Since we want to find the value of k where the limit exists, set both equations equal to each other. Then substitute x = -1 in for each equation to find k.

[tex]kx - 3 = {x}^{2} + k[/tex]

1. Set both equations equal.

[tex] - k - 3 = 1 + k[/tex]

2. Substitute x = -1.

[tex] - 3 = 1 + 2k[/tex]

3. Solve for k by adding k to both sides. Continue the process of solving the equation.

[tex] - 4 = 2k[/tex]

[tex]k = - 2[/tex]

Thus, k = -2. Check by graphing the function.

Answer:

San francisco

Step-by-step explanation:

once you divide the distance by time then multiply the answer by the longest amount of time (aka 4)

San francisco = 2556

Minot = 1826

Phoenix = 2252