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Harrizon [31]
3 years ago
7

32+2/3(21y-6) in factored form

Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer:

14(y + 2).

Step-by-step explanation:

32 +2/3(21y - 6)

Distributing the 2/3 over the parentheses:

= 32 + 2/3*21y  + 2/3 * -6

= 32 + 14y - 4

= 14y + 28

= 14(y + 2).

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photoshop1234 [79]

Substitute u=x^2+4 and du=2x\,dx. Then the integral transforms to

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}

Apply the power rule.

\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C

Now put the result back in terms of x.

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}

3 0
2 years ago
How do you write 3/2 as a percentage?
sweet [91]
= 1.5 
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4 0
3 years ago
Each course at a community college is worth 1 or 2 credits. A group of students is taking a total of 16 courses that are worth a
Anuta_ua [19.1K]

Answer:

They  are taking 12 2 credit courses

The are taking 4  1 credit courses

Step-by-step explanation:

x = 1 credit courses

y = 2 credit courses

The number of courses is 16

x+y = 16

The number of credits is 28 so multiply the course by the number of credits

1x+2y=28

Subtract the first equation from the second equation

x+2y =28

-x-y=-16

-----------------

y = 12

They  are taking 12 2 credit courses

We still need to find the 1 credit courses

x+y = 16

x+12= 16

Subtract 12 from each side

x-12-12 = 16-12

x =4

The are taking 4  1 credit courses

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3 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4 . If there were
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3 years ago
Help Me! WITH THIS HARD PROBLEM
Anon25 [30]
I dont know what question you were asking for but i hope its question 15 the answer is B


7 0
3 years ago
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