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Yanka [14]
2 years ago
13

How do you simplify

%28x%2B3%29x%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D" id="TexFormula1" title="\frac{2}{5} (x+3)x^{\frac{5}{2} } -2(x+3)x^{\frac{3}{2} }" alt="\frac{2}{5} (x+3)x^{\frac{5}{2} } -2(x+3)x^{\frac{3}{2} }" align="absmiddle" class="latex-formula"> into \frac{2}{5} (x-2)(x+3)^{\frac{3}{2} }
Mathematics
1 answer:
jarptica [38.1K]2 years ago
6 0

The given simplification is not correct. This one is:

\displaystyle \frac25 (x + 3) x^{5/2} - 2 (x+3) x^{3/2} = \frac25 (x+3) x^{3/2} \bigg(x^{2/2} - 5\bigg) = \frac25 (x+3) x^{3/2} (x - 5)

which is just a matter of recognizing 2(x+3)x^{3/2} as a common factor to both expressions in the sum.

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Determine whether each question is biased. explain your answer. 2.A beverage company conducts a survey in the lobby of a health
zheka24 [161]
2. a beverage company conducts a survey in the lobby of a health club to determine people's favorite beverage.

This question is biased, because certain drinks would be ruled out for being "unhealthy", such as soda, beer, etc. This means that healthier drinks, such as mineral water, electrolyte water, etc, would get more votes.


hope this helps
4 0
3 years ago
20000 into saving account 6% compound interest for 10 years
zimovet [89]

Answer:

210,000‬

Step-by-step explanation:

20,000 * 6% = 1,200‬

20,000 + 1,200 = 21,000

21,000 * 10 = 210,000‬

Therefore your answer is 210,000‬

3 0
3 years ago
The slope of a line is 58, and the line passes through the point (−8,−4).
nadezda [96]

Answer:

y=58x+460

Step-by-step explanation:

y=mx+b

We are given m=58 so we have

y=58x+b

We are given (-8,-4) is a point on the line.

-4=58(-8)+b

-4=-464+b

460=b

So the line in slope intercept form is y=58x+460

5 0
3 years ago
Read 2 more answers
Find the perimeter and area of the regular polygon. Round to the nearest tenth
rosijanka [135]

Answer:

P = 24

A ≈ 41.6

Step-by-step explanation:

The polygon is a regular hexagon, so the triangle shown is a 30-60-90 triangle.  So the short leg of the triangle is 2, which makes the side length of the hexagon 4.

That means the perimeter is P = 4 × 6 = 24.

The area of a regular polygon is:

A = ½ aP

where a is the apothem and P is the perimeter.

A = ½ (2√3) (24)

A = 24√3

A ≈ 41.6

4 0
3 years ago
Read 2 more answers
Jill drives 75 1/3 miles every hour how many miles can Jill drive in 8 3/4 hours
galben [10]
He drives 75 1/3 miles in 60 mins

8 3/4 hours is 525 mins

75 1/3 divided by 60 is 1 1/4 miles per minute

1 1/4 x 525 mins = 659.16666667 miles
4 0
4 years ago
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