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3 years ago

Y^3-27=9y^2-27y how to factor

1 answer:

4 0

Hello! And thank you for your question!

First we are going to redo the equation:

<span><span><span>y<span><span>^3</span><span></span></span></span>−3<span>y^<span><span>2</span><span></span></span></span>(3)+3(y)×<span>3<span><span>^2</span><span></span></span></span>−<span>3<span><span>^3</span><span></span></span></span>=0

Then we are going to use Cube of Difference:

0 = (y - 3)^3

That take cube root of both sides:

0 = y - 3

Finally add 3 to both sides:

3 = y

Final Answer:

y = 3</span></span>

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<em><u>Solution:</u></em>

Given that, A rectangular painting is 24 inches wide and 20 inches tall without the frame

The area of rectangle is given as:

$Area = length \times width$

<em><u>Find the area of painting without frame:</u></em>

Length = 20 inches

Width = 24 inches

$Area\ Without\ Frame = 20 \times 24 = 480$

Thus area of painting without frame is 480 square inches

With the frame, it is 28 inches wide and 24 inches tall

<em><u>Find the area of painting with frame:</u></em>

Length = 24 inches

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Thus area of painting with frame is 672 square inches

<em><u>What is the area of the frame not covered by the painting</u></em>

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Area of the frame not covered by the painting = 672 - 480 = 192

Thus the area of the frame not covered by the painting is 192 square inches

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3 years ago

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2 years ago

7. What is the measure of ZE ?

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

Given that a population that consists of 500 observations has a mean of 40 and a standard deviation of 15.

A sample size is 100 taken at random from the given population.

<h3>To find the standard error of the sample mean :</h3>

From the given Mean=40 and $\sigma =15$

For N=100

<h3>The formula for standard error is $SE_{mean}=\frac{\sigma}{\sqrt{N}}$ </h3>

Substitute the values in the above formula we get

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$=\frac{15}{10}$

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2 years ago

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