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jekas [21]
3 years ago
6

Patricia wishes to have a rectangular-shaped garden in her backyard. she has 70 ft of fencing material with which to enclose her

garden. letting x denote the width of the garden, find a function f in the variable x giving the area of the garden. what is its domain?
Mathematics
1 answer:
Scilla [17]3 years ago
3 0
For this problem, let x be the width and y be the length of the rectangle. We use these variable to make an equation from the perimeter.

Perimeter = 2*Length + 2*WIdth
Perimeter = 2y + 2x
70 = 2y + 2x

The area of a rectangle is equal to the product of x and y. Since we want the equation in terms of x only, let's find y in terms of x.

y = 35 - x

Hence, the formula for area is:

Area = xy
Area = x(35 -x)
Area = 35x - x² 
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3 years ago
Use the substitution method to solve the system of equations. Choose the
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7 0
3 years ago
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Carly bought 3 pounds of birdseed. How many ounces of birdseed did she buy?
marissa [1.9K]

Answer:

48 ounces

Step-by-step explanation:

If...

1 lb= 16oz

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Step-by-step explanation:

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3 0
3 years ago
The sum of two numbers is -47 the difference is -39 find the numbers
mash [69]

Answer:

x = -43

y = -4

Step-by-step explanation:

In this question, you will have to find the value of x in terms of y using one of the equations and substituting the value in the other equation or vice versa.

Let's assume the numbers x and y, now we write the expressions.

x + y = -47

x - y = -39

Take the second equation and find x.

<u>Calculations:</u>

x - y = -39 (Add y on both sides)

x = -39 + y

Now that you got the value of x in terms of y, we can substitute.

<u>Calculations:</u>

(-39 + y ) + y = -47

2y - 39 = -47

2y = -8

y = -8/2 = -4

y = -4

Now that we got y, we can substitute that value in any of the equations to find x.

x - 4 = -47 or x + 4 = -39

x = -43

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3 years ago
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