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3 years ago

Determine the horizontal asymptote ..

Mathematics

1 answer:

inessss [21]3 years ago

3 0

If we do the division we get x^2 + 3/x-2
there will be an a vertical asymptote at x = 2 but no horizontal asymptote

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Solve the equation for x. <br><br> 2(5x + 3) = 26

Aleksandr [31]

Answer: x=2

Step-by-step explanation:

2(5x+3)=26

Distribute the 2

10x+6=26

Subtract 6 from both sides

10x=20

Divide both sides by 10

x=2

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3 years ago

From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many combin

borishaifa [10]

Answer:

495 combinations of 4 students can be selected.

Step-by-step explanation:

The order of the students in the sample is not important. So we use the combinations formula to solve this question.

Combinations formula:

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

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

How many combination of random samples of 4 students can be selected?

4 from a set of 12. So

$C_{n,x} = \frac{12!}{4!(8)!} = 495$

495 combinations of 4 students can be selected.

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3 years ago

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3 years ago

There is a mound of g pounds of gravel in a quarry. Throughout the day, 300 pounds of gravel are added to the mound. Two orders

galina1969 [7]

Answer:

$g+300-700-700=1500, g=2600$

Step-by-step explanation:

At the start of the day there are g pounds of gravel in the quarry.

Then it says that there were 300 pounds added to the mound, so at this point the pounds of gravel in the mound are now g+300.

Then two orders of 700 pounds are sold and removed from the mound. That means they removed 700 pounds from the mound 2 times. Therefore at this point the pounds of gravel in the mound are now g+300-700-700.

Then it says that at this point, the amount of pounds in the mound are 1500. Hence we get

$g+300-700-700=1500$

To solve for g we just add 700 two times to both sides of the equation, and subtract 300 from both sides of the equation, getting:

$g+300-700-700+700+700-300=1500+700+700-300$

And so $g=2600$

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3 years ago

Write logb(x/y) as two logs

Makovka662 [10]

Answer:

$log_{b}(x) - log_{b}(y)$

5 0

2 years ago