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Arada [10]
2 years ago
9

Assuming that $3u + 12v\neq0$, simplify $\dfrac{12u^3 + 48u^2v}{3u+12v}$.

Mathematics
1 answer:
Kay [80]2 years ago
5 0

Answer:

  4u²

Step-by-step explanation:

  \dfrac{12u^3 + 48u^2v}{3u+12v}=\dfrac{12u^2(u+4v)}{3(u+4v)}=\boxed{4u^2}

Common factors cancel from numerator and denominator. The one factor that might make the expression undefined is given as non-zero, so no additional restrictions apply.

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DENIUS [597]

Answer: 26

Step-by-step explanation:

10 : 3 means for every 3 songs he kept, he deleted 10

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3 * 2 = 6

He deleted 20 songs, and kept 6.

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20 + 6 = 26

4 0
3 years ago
I’m confused on this
dexar [7]

\huge\boxed{x=25}

The mistake is in Step 1. The solver should have also squared 9 when squaring the other side of the equation.

<h3>Correctly solving</h3>

\begin{aligned}\sqrt{3x+6}&=9\\(\sqrt{3x+6})^2&=9^2\\3x+6&=81\\3x+6-6&=81-6\\3x&=75\\\frac{3x}{3}&=\frac{75}{3}\\x&=25\end{aligned}

4 0
1 year ago
Read 2 more answers
The Witches coven are making a potion and Ethel, Glinda, Locasta and Circe each add a different ingredient. When the potion is f
nordsb [41]
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4 0
3 years ago
Given m = 3/2 and the point (0, -6), which of the following is the point-slope form of the equation?
Aleks04 [339]

Answer:

Step-by-step explanation:

The equation of a line in

point-slope form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

−

y

1

=

m

(

x

−

x

1

)

2

2

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−−

where m represents the slope and

(

x

1

,

y

1

)

a point on the line

here

m

=

−

2

and

(

x

1

,

y

1

)

=

(

3

,

0

)

⇒

y

−

0

=

−

2

(

x

−

3

)

⇒

y

=

−

2

(

x

−

3

)

←

in point-slope form

8 0
3 years ago
What is the value of x?
maw [93]

Answer:

you need to give us a mathematical equation to answer that

Step-by-step explanation:

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