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Anvisha [2.4K]
3 years ago
12

Pablo wants to build a rectangular pen for the pig he is raising in his agriculture class. Pablo only has 36 feet of fencing. Wh

at representative function can be used to model the area of the rectangular pen as a function of the side length, x?
Mathematics
1 answer:
Ratling [72]3 years ago
4 0

Answer:

Area of the rectangular pen is: 18 \,x-x^2

Step-by-step explanation:

We need to specify that the perimeter of the rectangular area of side x adds to the amount of fence Pablo has (36 feet). Recall as well that the opposite sides of a rectangle are equal, so if there is a side of length x, there must be another one of this size as well (a total of 2 x in the perimeter),let's assume that the perpendicular sides to x are of length y, then:

Perimeter= 2 x + 2 y = 36

so, 2 (x+y)  = 36   then  (x+y) = 18

and therefore the side y should be:

y = 18 - x

Now we can write the formula for representing the area of the rectangle (product of both quantities: x * y

Area=x\,*\,y = x\,(18-x) =18 \,x-x^2

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Answer:

a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

Step-by-step explanation:

x^{2} +8x = 38

Add 16 to both sides.

x^{2} +8x+16 = 38 + 16

(x+4)^{2} =54

x + 4 = \sqrt{54} or x + 4 = -\sqrt{54}

x+4=3\sqrt{6} or x+4=-3\sqrt{6}

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a = -4, b = -3 and c = 6

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John took all his money from his savings account. He spent $88 on a radio and 1/4 of what was left on presents for his friends.
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Answer:

$968

Step-by-step explanation:

x= the money John originally had in his savings account

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3/4(x-88)

Then, it says that of the money remaining, John put 4/11 into a checking account and the last remaining $420 was left to charity. Since, he spent 4/11 of the remining 3/4(x-88), the remaining is 7/11 of that and that remaining is equal to $420 that was the money left at the end:

7/11(3/4(x-88))= 420

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21/44x=462

x=968

According to this, the money that John originally had in his savings account was $968.

He spent $88 on a radio: 968-88= 880

1/4 of what was left on presents for his friends: 880/4= 220

880-220=660

Of the money remaining, John put 4/11 into a checking account: 660*(4/11)=240

the last remaining $420 was left to charity: 660-240= 420

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The equation 13x+30=134 can be used to find the number of months Kenneth can receive internet service.

Step-by-step explanation:

Given,

Start up fee to receive internet = $30

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Let,

x be the number of months.

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Putting y=134

134=13x+30\\13x+30=134

The equation 13x+30=134 can be used to find the number of months Kenneth can receive internet service.

Keywords: equation, addition

Learn more about addition at:

  • brainly.com/question/1836777
  • brainly.com/question/1993757

#LearnwithBrainly

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