3 years ago

Simplify the Expression: x + 2(x - 4)

Mathematics

1 answer:

antoniya [11.8K]3 years ago

4 0

the answer is 3 − 8

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The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

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4 years ago

When you subtract 22 from a number and the result is doubled, the answer is 6 more than the original number. What is the number?

Karolina [17]

You have to write two equation:
'substract 22 from a number'
$X-22=Y$
and:
'the result is doubled, the answer is 6 more than the original number'
$2*Y=X+6$

then you change 'Y' in 2nd equation for left side of 1st equation:
$2*(X-22)=X+6$
count it and you get:
$2X-44=X+6$
This means that X=50
The original number is 50.

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3 years ago

Which is a fraction? 11 2/3 4 2

murzikaleks [220]

A fraction is --->2/3

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3 years ago

Read 2 more answers

To pass a quiz, students need a score of at least 32 points out of a total of 40 points. At least what percent do the students n

ss7ja [257]

Answer:

80%