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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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Use a proportion to determine the number of children age 5 in a kindergarten class if 80% of a class of 20 children are that age
igor_vitrenko [27]

Answer:

16 children

Step-by-step explanation:

80% of 20 children comes out to 16 children who are of age 5.

If desired, rewrite "80%" as "0.80" and use that 0.80 as the multiplier of 20:

0.80(20 children) = 16 children.

4 0
4 years ago
When Lily does a self-inventory, she lists her knowledge of Excel, her proficiency in bookkeeping, and her training in customer
Anika [276]

Answer:

The above mentioned qualities go under the category of abilities.

Step-by-step explanation:

Lily does a self-inventory to find out theat she has knowledge of Excel , proficiency in bookkeeping and training in customer service .

Ability is used to refer a person's native aptitude in a specific field.

Ability can also be trained and honed and can be made better with practice.

All of Lily's qualities mentioned come under the same above mentioned specifications. All her talents can be trained and can be bettered.

Hence her qualities come under the category of abilities.

6 0
4 years ago
Point D is on line segment \overline{CE}
ANTONII [103]

Answer:

DE = 18

Step-by-step explanation:

Given that,

Point D is on line segment CE.

DE = x+10, CD=6 and CE=3x

We need to find the length of DE.

ATQ,

CE = CD + DE

Putting all the values,

3x = 6 + x+10

Taking like terms together

3x-x = 16

2x = 16

x = 8

DE = x+10

= 8+10

= 18

Hence, the length of DE is 18.

5 0
3 years ago
In the situation, simple interest is calculated yearly. How much interest was earned? Drag and drop the answer into the box. Pri
ad-work [718]
I = PRT
P = 8000
T = 4
R = 12%...turn to decimal...0.12
now we sub
I = (8000)(0.12)(4)
I = 3840 <==
7 0
3 years ago
(WILL GIVE BRAINLIEST) Solve for x.
Oksanka [162]

Answer:

−2(−9x+5)−4x=2(x−5)−4

Step 1: Simplify both sides of the equation.

−2(−9x+5)−4x=2(x−5)−4

(−2)(−9x)+(−2)(5)+−4x=(2)(x)+(2)(−5)+−4(Distribute)

18x+−10+−4x=2x+−10+−4

(18x+−4x)+(−10)=(2x)+(−10+−4)(Combine Like Terms)

14x+−10=2x+−14

14x−10=2x−14

Step 2: Subtract 2x from both sides.

14x−10−2x=2x−14−2x

12x−10=−14

Step 3: Add 10 to both sides.

12x−10+10=−14+10

12x=−4

Step 4: Divide both sides by 12.

12x

12

=

−4

12

x= -1/3

Step-by-step explanation:

Good luck! Hope this helps! <3

3 0
3 years ago
Read 2 more answers
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