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noname [10]
1 year ago
5

Which equation represents a line which is parallel to the line 8y-3x=-8

Mathematics
1 answer:
marin [14]1 year ago
7 0

First, we need to make the equation given to be in the form;

y=mx + b

where m is the slope and b is the intercept

8y - 3x = -8

Add 2x to both-side of the equation

8y = 3x - 8

Divide through the equation by 8

y = 3/8 x -1

comparing the above with y =mx + b

m = 3/8

slope of parallel equations are equal

From the options given the only equation with slope 3/8 is;

y= 3/8 x + 8

y=\frac{3}{8}x\text{ + 8}

The above equation of the line is parallel to 8y - 3x = -8

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Find the value of the integral that converges.<br> ∫^-5_-[infinity] x^-2 dx.
Bingel [31]

Answer:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

Step-by-step explanation:

For this case we want to find the following integral:

\int_{-\infty}^{-5} x^{-2}dx

And we can solve the integral on this way:

\int_{-\infty}^{-5} x^{-2}dx= \frac{x^{-2+1}}{-2+1} \Big|_{-\infty}^{-5}

\int_{-\infty}^{-5} x^{-2}dx= -\frac{1}{x} \Big|_{-\infty}^{-5}

And if we evaluate the integral using the fundamental theorem of calculus we got:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

8 0
3 years ago
A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches.
gizmo_the_mogwai [7]

Answer:20.25

Step-by-step explanation:

If you do 81 divided by 4

I think Im not sure

8 0
3 years ago
Hello please help i’ll give brainliest
Serjik [45]

Answer:

The answer is 131

Step-by-step explanation:

7 0
3 years ago
What are the solutions to the system of equations?
user100 [1]

Solve the second equation using the given choices:

Y = 3x + 6

Replacing x with the given choices and matching the y values the answer is the second choice

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3 years ago
A bag of marbles contains 1 green, 5 red, and 2 blue. Find the probability of picking a red marble, putting it back in the
sleet_krkn [62]

Answer:

Red = 25/32768

Blue = 4/64

Step-by-step explanation:

Green Marbles = 1

Red Marbles = 5

Blue Marbles = 2

Probability of picking a red marble = 5/8 x 5/8 x 5/8 x 5/8 x 5/8 = 25/32768

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6 0
3 years ago
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