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4 years ago

7

Find the domain of the function:

ormula1" title="h(x) = \frac{6}{x^{2}-4x}" alt="h(x) = \frac{6}{x^{2}-4x}" align="absmiddle" class="latex-formula">

1 answer:

ivolga24 [154]4 years ago

8 0

Answer:All real numbers except for 0 and 4.

Step-by-step explanation:

The denominator cant be zero so we take it and equal it to zero. For the denominator to equal to zero, either x = 0 or x=4 yields 0.

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Jude Enjoys Eating Potato Chips. He likes to place 3 chips together in a stack to make interesting flavours. If he only has one

frez [133]

Using the combination formula, it is found that he can make 4 different stacks.

The order in which the balls are selected is not important, as stated in the problem. hence the <em>combination formula</em> is used to solve this question. If the order was important, then the permutation formula would be used.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, he has four flavors, and will choose three of them for the stacks, hence the number of different stacks is given as follows:

$C_{4,3} = \frac{4!}{3!1!} = 4$

He can make 4 different stacks.

More can be learned about the combination formula at brainly.com/question/25821700

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4 0

2 years ago

Find x-intercept and y-intercept of line: 5x+8y=-14

ASHA 777 [7]

5x+8y=-14

8y = -5x - 14

y = -5/8 x - 14/8

y-intercept when x = 0 so y = -14/8 = -7/4

x-intercept when y = 0 so

-5/8 x - 14/8 = 0

-5/8 x = 14/8

x = 14/8 * (-8/5)

x = -14/5

answer:

y-intercept (0 , -7/4)

x-intercept (-14/5 , 0)

8 0

3 years ago

Which is 2/3 of 18 <br>A. 27<br>B. 8<br>C. 12<br>D. 6

ahrayia [7]

Answer:

C. 12

Step-by-step explanation:

We know you have the number 18 and the fraction 2/3. The problem is we want to find out what 2/3 of 18 is. Well, if 18 divided by the denominator of that fraction (3) is 6 than we just add 6 because the question is asking for 2/3 NOT 1/3.

6 0

4 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = ln(3x),

denis23 [38]

Using the disk method, the volume is obtained with the integral

$\displaystyle\pi\int_{y=1}^{y=5}\left(\frac{e^y}3\right)^2\,\mathrm dy=\frac\pi9\int_1^5e^{2y}\,\mathrm dy$

The radius of each disk is given by the horizontal distance from the axis of revolution, $x=0$ , to the logarithmic curve which we can write as a $x(y)$ :

$y=\ln(3x)\implies e^y=e^{\ln3x}=3x\implies x=\dfrac{e^y}3$

Then the volume of one such disk is $\pi x(y)^2$ .

The volume of the entire solid would be

$\displaystyle\frac\pi9\int_1^5e^{2y}\,\mathrm dy=\frac\pi{18}\int_1^52e^{2y}\,\mathrm dy=\frac\pi{18}\int_1^5e^{2y}\,\mathrm d(2y)$

$=\dfrac\pi{18}\left(e^{10}-e^2\right)$

7 0

3 years ago

The rational number halfway between 2/4 and 1/8

galben [10]

Answer:

one third or 0.333333...

Step-by-step explanation:

a rational number is a number that can be written as a ratio between two numbers. they an be repeating like 1/3 or terminating like 1.36.

6 0

4 years ago

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