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34kurt
3 years ago
5

Solve for x and y 2x+7=3y-1

Mathematics
1 answer:
zlopas [31]3 years ago
7 0
To solve for x and y, isolate each variable and simplify your equation:

Solve for x:
2x+7=3y-1 (Subtract 7 on each side)
2x=3y-8 (Divide by 2 on each side)
x=\frac{3y}{2} -4

Solve for y:
2x+7=3y-1
2x+8=3y (Add 1 on each side)
\frac{2x}{3} + \frac{8}{3}=y (Divide by 3)
y=\frac{2x}{3} + \frac{8}{3}

~I hope this helps!~
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Write the equation of the line shown in the graph. Please help.
jeka57 [31]

Answer:

y = 3

Step-by-step explanation:

The y-coordinate of all points on the graph is 3.

The equation is y = 3

3 0
2 years ago
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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
2. Into what three zones is India divided and how are these zones different from each other?
LenaWriter [7]

Answer:

Into what three zones is India divided and how are these zones different from each other? Deccan Plateau: triangular shaped, juts into the Indian Ocean, is dry, unproductive and sparsely populated.

Step-by-step explanation:

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4) HELP ASAP is about cylinders and stuff and I have to wash dishes and stuff so please help me and if you can show work that wo
Nutka1998 [239]

Answer:

<h2>C. 533.8 ft. squared</h2>

Step-by-step explanation:

Depending on the Pi that you use, the answer should be fairly close, for this I used the full Pi in the equation and got about 534.07 and answer C is closest to that answer so C is the best option.

Hope this helps! Have a good day/night!

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Answer:

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