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masha68 [24]
3 years ago
11

Urgenttttt helppppp pls

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

y = -4x - 3

Step-by-step explanation:

Slope = -4

y-intercept = -3

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Use the substitution method to solve each system of equations. Write the answer in ordered pairs.
tatyana61 [14]

x -y = 1

5x + 3y = 45

Solve the first equation for x: x = y + 1

Substitute x in the second with y + 1

5x + 3y = 45

5(y + 1) + 3y = 45

5y + 5 + 3y = 45

8y + 5 = 45

8y = 40

y = 5

Substitute 5 for y in x = y + 1

x = y + 1

x = 5 + 1

x = 6

Answer: (6, 5)

5 0
3 years ago
You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.
RUDIKE [14]
Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

xy = 288  \\  \\  \\  \\ \Rightarrow y= \frac{288}{x}

Substituting for y into the equation for the length of fencing needed, we have

P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}

For the amount of fencing to be minimum, then

\frac{dP}{dx} =0 \\  \\ \Rightarrow1- \frac{576}{x^2} =0 \\  \\ \Rightarrow \frac{576}{x^2} =1 \\  \\ \Rightarrow x^2=576 \\  \\ \Rightarrow x=\sqrt{576}=24

Now, recall that

y= \frac{288}{x} = \frac{288}{24} =12

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.
8 0
3 years ago
HELP HELP HELP HELP HELP HELP AHHLIDAKUYSWJG PLEASE
Gelneren [198K]

I'm pretty sure it's D

5 0
2 years ago
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The original price of a bicycle was marked down $20 to a sale price of $85. What was the original price ⁉️
vovikov84 [41]
The price was marked down. If the price was reduced, we have to sum with the other value to find the original price:

85 + 20 = \boxed {105}

The original price was $105.
4 0
3 years ago
Ms. Anderson deposits $7,000 into a savings account that pays a simple interest of 2% per year. Which of the following would be
ANEK [815]

Answer:

$7,428.46

Step-by-step explanation:

A = 7000(1 + .02)³

A = 7000(1.02)³

A = 7000(1.0612)

A = $7,428.46

7 0
3 years ago
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