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4 years ago

Factor 16p 4 - 24p 3. 8p2(2p2 - 3) 8p3(2p - 3) 8p3(2 - 3p)

Mathematics

1 answer:

Fudgin [204]4 years ago

7 0

$16p^4=8p^3\cdot2p\\\\24p^3=8p^3\cdot3\\\\16p^4-24p^3=8p^3(2p-3)$

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Solve the equation for x.<br> 1/3 (6x - 15) = 1/2 (10x-4)

Readme [11.4K]

Answer:

Step-by-step explanation:

$\frac{1}{3} (6x - 15) = \frac{1}{2} (10x - 4)$

Expand the terms in the bracket

That's

$\frac{1 }{3} \times 6x + \frac{1}{3} ( - 15) = \frac{1}{2} (10x) + \frac{1}{2} ( - 4) \\ 2x - 5 = 5x - 2$

<u>Subtract 5x from both sides</u>

$2x - 5x - 5 = 5x - 5x - 2 \\ - 3x - 5 = - 2$

<u>Add 5 to both sides</u>

$- 3x - 5 + 5 = - 2 + 5 \\ - 3x = 3$

<u>Divide both sides by - 3</u>

$\frac{ - 3x}{ - 3} = \frac{3}{ - 3}$

We have the final answer as

Hope this helps you

3 0

3 years ago

Frank’s dog eats 6 ounces of dog food each day. Frank bought a 42-pound bag of dog food. How many 6-ounce servings are in 42-pou

iVinArrow [24]

So it’ll be 42 divided by 6 since u want to know how many servings of 6 ounces can be served from a 42 pound bag
So 42/6= 7

5 0

3 years ago

Solve the equation on the interval [0,2π). cos^4x=cos^4xcscx

Luba_88 [7]

$\bf cos^4(x)=cos^4(x)csc(x)\\\\
-----------------------------\\\\
cos^4(x)=cos^4(x)\cfrac{1}{sin(x)}\implies cos^4(x)=\cfrac{cos^4(x)}{sin(x)}
\\\\\\
cos^4(x)sin(x)=cos^4(x)\implies cos^4(x)sin(x)-cos^4(x)=0
\\\\\\
cos^4(x)[sin(x)-1]=0\to 
\begin{cases}
cos^4(x)=0\to x=cos^{-1}(0)\\
----------\\
sin(x)-1=0\\
sin(x)=1\to x=sin^{-1}(1)
\end{cases}$

$\bf \measuredangle x = cos^{-1}(0)\implies \measuredangle x = 
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}
\\\\\\
\measuredangle x=sin^{-1}(1)\implies \measuredangle x=\frac{\pi }{2}$

8 0

4 years ago

Please help with this inequality

valentinak56 [21]

Answer:

The answer is A.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A remote control truck can travel 20 feet in 3 seconds.what is trucks speed in miles per hour

pav-90 [236]

1 hour = 3600 seconds

Calculate feet per hour first:

3600 seconds / 3 = 1200

1200 x 20 feet = 24,000 feet in 1 hour

1 mile = 5280 feet

Calculate miles per hour:

24,000 / 5280 = 4.54 miles per hour.

Round the answer as needed.

5 0

3 years ago