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77julia77 [94]
3 years ago
7

Shenelle has 100 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the gard

en's width www (in meters) is modeled by: a(w)=-(w-25)^2+625. What is the maximum area possible?
Mathematics
2 answers:
Vesnalui [34]3 years ago
5 0

Answer:

625

Step-by-step explanation:

Check the question to make sure you have the right  question

It's not 25

ad-work [718]3 years ago
4 0

Answer:

625 metres

Step-by-step explanation:

Given the area function expressed as a(w)=-(w-25)^2+625.

The maximum area occurs at when da/dw = 0

da/dw = -2(w-25)

0 = -2(w-25)

-2(w-25) = 0

w - 25  = 0

w = 25

Substitute w = 25 into the modeled equation;

Recall a(w)=-(w-25)^2+625.

a(25)=-(25-25)^2+625

a(25) = 0+625

a(25) = 625

Hence the maximum area possible is 625 metres

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Please help fast! Thanks a lot
professor190 [17]

Answer:

92.5

Step-by-step explanation:

Lets say, first number = x


Second number = 3x+7


Total = 49



(x)+(3x+7)= 49


4x+7 = 49


4x = 42


x = 42/4


x= 10.5



x= 10.5


3x+7 = 3(10.5)+7 = 92.5



Hope this helps!!

3 0
3 years ago
2x + 3y = 7 3x + 2y = 8
Kipish [7]

Answer:

\boxed{\sf \ \ \ x=2, \ \ y =1 \ \ \ }

Step-by-step explanation:

Hello,

Pls post the full question next time so that we can make sure what is expected.

I assume that you want to solve for (x,y)

   (1) 2x + 3y = 7

   (2) 3x + 2y = 8

2*(2)-3*(1) gives

2*3x + 2*2y - 3*2x - 3*3y = 2*8 - 3*7 = 16 - 21 = -5

6x - 6x + 4y -9y = -5

-5y=-5

y = 1

and we can replace in (1)

2x + 3*1 = 7

2x = 7 - 3 = 4

x = 2

hope this helps

7 0
3 years ago
Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with
MAXImum [283]

Answer:

<h2>Michael needs to save $63.40, approximately.</h2>

Step-by-step explanation:

The given expression is

36,700 - (5,000 + 500m)=0

Where m is months.

We need to solve for the variable.

36,700-5,000-500m=0\\31,700=500m\\m=\frac{31700}{500} \approx 63.4

Therefore, Michael needs to save $63.40, approximately.

4 0
3 years ago
Read 2 more answers
A and B share the cost in a ratio of 3:2. the cost is £85; How much does A pay?
Mars2501 [29]
Let share of A is 3x and B is 2x
According to question
3x + 2x = 85
x = 85/5
x = 17

Therefore A pays 51 euros
3 0
3 years ago
Geometry need help. Will give brainlieest.
Elenna [48]

Answer:

x = 8

Step-by-step explanation:

The line segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

\frac{11x-4}{9x} = \frac{7x}{6x} ( cross- multiply )

6x(11x - 4) = 63x² ← distribute left side

66x² - 24x = 63x² ( subtract 63x² from both sides )

3x² - 24x = 0 ← factor out 3x from each term on the left side

3x(x - 8) = 0

Equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 8 = 0 ⇒ x = 8

But x > 0 , then x = 8

4 0
3 years ago
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