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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.

You might be interested in
Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart aft
Kisachek [45]

Answer:

they travel 115 km/h long

4 0
2 years ago
Solve the following linear equation for k.<br> 2 (k-5) + 3k = k + 6
kiruha [24]

Answer:

2(k-5)+3k=k+6

-3k. -3k

2(k-5)=-2k+6

/2. /2

k-5=-k+3

+k. +k

2k-5=3

+5. +5

2k=8

/2. /2

k=4

7 0
3 years ago
A rectangular plot measures 20 ft. By 30ft. A 3ft wide side walk surrounds it. Find the area of the side walk
r-ruslan [8.4K]

Answer:

336 feet²

Step-by-step explanation:

If we have a rectangle that is 30 by 20 feet, that means the area of that rectangle would be 20 × 30 feet squared, which is 600 ft².

If there is a 3 feet sidewalk surrounding it, that means that the end of the sidewalk will extend 3 feet extra around each side of plot. Since there are two ends to one side, that means an extra six feet is added on to each dimension. Therefore, 36 × 26 are the dimensions of the sidewalk+plot. 36 × 26 = 936 ft².

To find the area of the sidewalk itself, we subtract 600 ft² from 936 ft². This gets us with 336 ft².

Hope this helped!

3 0
3 years ago
What value of z will make △DEF ≅ △JKI
Leto [7]

Answer:

z = 11

Explanation:

5y + 13 = 6y

Subtract 5y by both sides.

13 = y

Next,

z + 22 = 3z

Subtract z by both sides.

22 = 2z

Then, divide both sides by 2.

11 = z

Finally plug those answers into the equations.

5(13) + 13 = 78

6(13) = 78

(11) + 22 = 33

3(11) = 33

So △DEF ≅ △JKI because the value of z = 11.

6 0
3 years ago
What is N in 25-n=32?
Lostsunrise [7]
Simplify both sides of the equation.

<span><span>25−n</span>=32

</span><span>Simplify:

</span><span><span><span>−n</span>+25</span>=32

</span>Subtract 25 from both sides.

<span><span><span><span>−n</span>+25</span>−25</span>=<span>32−25

</span></span><span><span>−n</span>=7

</span>Divide both sides by -1.

<span><span><span>−n/</span><span>−1 </span></span>= <span>7/<span>−1

</span></span></span><span>n=<span>−7

</span></span>Ans:
<span>n = <span>−7</span></span><span>
</span>
7 0
3 years ago
Read 2 more answers
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