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2 years ago

Using laws of exponents, explain how to simplify (x-2)3.

Mathematics

1 answer:

Allushta [10]2 years ago

5 0

Answer:

The answer would be 3x-6

Step-by-step explanation:

3 times x equals 3x. 3 times -2 equals -6. So it would be 3x-6

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X - 7 = -1, what does 'x' equal?

antiseptic1488 [7]

Answer:

x=6

Step-by-step explanation:

x-7=-1 add -1 to other side of the equation

x-6=0 add six to the zero

x=6

5 0

2 years ago

3 regions are defined in the figure find the volume generated by rotating the given region about the specific line

anastassius [24]

The volume generated by rotating the given region $R_{3}$ about OC is $\frac{4}{g} \pi$

<h3>Washer method</h3>

Because the given region ( $R_{3}$ ) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

We first find the value of x and y

$y=2(x)^{\frac{1}{4} }$

$x=(\frac{y}{2} )^{4}$

$y=2x$

$x=\frac{y}{2}$

$\int\limits^a_b {\pi } \, (R_{o^{2} } - R_{i^{2} } ) dy$

$R_{o} = x = \frac{y}{2}$

$R_{i} = x= (\frac{y}{2}) ^{4}$

$a=0, b=2$

$v= \int\limits^2_o {\pi } \, [(\frac{y}{2})^{2} - ((\frac{y}{2}) ^{4} )^{2} ) dy$

$v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }} ] dy$

$v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]$

$v=\pi [\frac{1}{4} \frac{y^{3} }{3} \int\limits^2_0 - \frac{1}{2^{8} } \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi$

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

6 0

2 years ago

(-9x-3)+6<93 help me out plz

Lunna [17]

Answer:

x>-10

Step-by-step explanation:

(-9x-3) + 6 < 93

-9x-3+6 < 93

-9x + 3 < 93

-9x < 93-3 (subtracting 3 both sides)

Dividing by -9 both sides

x > 90/-9 ( switch the sign because dividing by a negative number)

x> -10 Answer

Hope this helps!

4 0

2 years ago

PLEASE HELP I NEED THE VALUES OF M AND P!!!!!!!! WILL GIVE BRAINLIST!!!!

ki77a [65]

Answer:

m=5 and p=4

Step-by-step explanation:

8 0

3 years ago

40 points!!

vredina [299]

Answer:

The translation is right 3 down 2 which is reflection

Step-by-step explanation:

5 0

3 years ago