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Sergio [31]
3 years ago
10

Determine the vertical asymptote for the rational function f(x) = x - 4 over 2x - 3

Mathematics
1 answer:
k0ka [10]3 years ago
5 0

Answer:

x = \frac{3}{2}

Step-by-step explanation:

Given

f(x) = \frac{x-4}{2x-3}

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

Thus x = \frac{3}{2} is the vertical asymptote

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A book sold 35,100 copies in its first month of release. Suppose this represents 9.2% of the number of copies sold to date. How
inessss [21]

Answer:

Total number of copies sold till date are 381522.

Step-by-step explanation:

It is given in the question the book sold 35100 copies in its first month of release and this number is 9.2% of the number of copies sold till date.

To find is how many copies have been sold.

Let the total number of copies sold be = A

Therefore 9.2% × A = 35100

\frac{9.2}{100}A=35100

A=\frac{35100\times 100}{9.2}

A = 381521.74 ≅381522 copies

3 0
3 years ago
The original quantity is 20 and the new quantity is 15. Adam incorrectly says the percent decrease is about ​14.29%. What is the
Yuki888 [10]

Answer: A. divided the difference of the two quantities by the sum of the two quantities.

===================================================

Explanation:

The difference of the quantities is 20-15 = 5

The sum of the quantities is 20+15 = 35

Dividing those results leads to 5/35 = 0.142857 which rounds to 0.1429

That converts to 14.29%

This is likely the path Adam took. This path is incorrect. The correct steps are shown below

---------------------

Difference = 20-15 = 5

Divide the difference over the original quantity

5/20 = 1/4 = 0.25 = 25%

We have a 25% decrease because the new quantity (15) is smaller than the old quantity (20)

----------------------

Here's another way to approach the problem

A = old value = 20

B = new value = 15

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (15-20)/20 ] * 100%

C = (-5/20)*100%

C = -0.25*100%

C = -25%

The negative C value means we have a negative percent change, ie we have a percent decrease. So this is another way to get a 25% decrease.

4 0
3 years ago
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At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?
rodikova [14]
D. 3 to 5 This is because if you simplify the ratio by dividing each number in the ratio by 4, therefore for every group of 5 birds 3 of them are parrots
5 0
3 years ago
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Comppete the equation <br> X^2+y^2-10x+6y=15
mart [117]
I believe you meant:  Use completing the square to determine the center and radius of the circle represented by this equation:   <span>X^2+y^2-10x+6y=15

x^2 - 10x + 25 - 25 + y^2 + 6y + 9 - 9 = 15
Then:
     (x-5)^2               +   (y+3)^2            = 24   = 2sqrt(6)

This circle is centered at (5,-3) and has radius 2sqrt(6).</span>
8 0
4 years ago
I WILL MARK YOU BRAINLIEST!!!!! What is the slope of the linear parent function?
posledela

Answer:

Step-by-step explanation:

The slope would be determined either by a graph or a equation

you didn't put it in the  picture...

4 0
3 years ago
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