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3 years ago

find the equation of the line that is parallel to y=3x-2 and contains the point (2,11), answer all boxes please

Mathematics

1 answer:

stiks02 [169]3 years ago

4 0

Answer:

y = 3x+6

Step-by-step explanation:

y=3x-2

This is in the form

y = mx+b where m is the slope and b is the y intercept

The slope is 3 so a line parallel also has a slope of 3 since parallel lines have the same slope.

Using slope intercept form

y = 3x+b

We have a point (2,11)

11 = 3*2+b

11 =6+b

11-6 = b

5 =b

The equation is

y = 3x+6

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One batch of fruit punch contains 1/3 quart grape juice and 1/5 quart apple juice. Colby makes 11 batches of fruit punch. How mu

zhuklara [117]

Answer:

3.66666666667

Step-by-step explanation:

If you multiply the number of batches he makes and the amount of grape juice he needs for every quart, you get and answer of 3.66666666667.

1/3 * 11= 3.66666666667

If you need to round the answer it would be 3.67

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3 years ago

Find the equation of the line that passes through both (5,1) and (8,-2)

Georgia [21]

Let $f(x) = ax+b$ be the line that passes through both points.

We know that $f(5) = 1$ and $f(8) = -2$ . So:

$\begin{cases}5a+b = 1 \\ 8a+b = -2\end{cases}$

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2 years ago

Simplify using positive exponents only (2x^3y^3)^-2(4^-1x^5y^-2)^2

amm1812

Answer:

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Step-by-step explanation:

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3 years ago

Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the

Assoli18 [71]

The diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.

<h3>What is of volume of cylinder?</h3>

Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of the cylinder can be given as,

$V=\pi r^2h$

Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.

Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the diameter of the barrel was.

She needs to know the diameter so that she can build a platform for it to sit on.

The seller told her the volume of the barrel is 6,925pi cubic in and its height is 38 in.

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The diameter of the cylinder is twice the radius of it. Thus, the diameter of the cylinder is,

$d=7.62\times2\\d=15.23\rm\\d\approx15\rm\; in$

Thus, the diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.

Learn more about the volume of cylinder here;

brainly.com/question/12748872

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7 0

2 years ago

What is g(x)?<br> A. g(x) = -2<br> B. g(x) = -x<br> C. g(x) = -|x|<br> D. g(x) = -x^2

Nastasia [14]

Answer:

A. g(x) = -2^x.

Step-by-step explanation:

If g(x) = -2, it would be a straight line running horizontally.

If g(x) = -x, it would be a linear equation.

If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.

So, the remaining answer is that A. g(x) = -2^x.

Hope this helps!

3 0

3 years ago

Read 2 more answers