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olga55 [171]
3 years ago
11

Task 3—Graphing Rational Functions Create a rational function with a linear binomial in both the numerator and denominator.

Mathematics
1 answer:
musickatia [10]3 years ago
3 0
Construct a simple function f(x) = (x+1) / (x-1);

Vertical asymptote: setting the denominator to 0 we get
x - 1 = 0 => x = -1

Horizontal asymptote: since the numerator and denominator have the same degree, simply <span>divide the coefficients of the highest terms, which is 1, implies there's a asymptote at y = 1;

x-intersection: set f(x) to 0 => f(x) = 0 => x = -1;

y-intersection: set x to 0 => f(0) = -1 / 1 = -1;</span>

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What is the simplified form of ?
Natalija [7]
Let's set it up like this:
\frac{\frac{x}{3}-\frac{y}{4}}{\frac{x}{4}+\frac{y}{3}}
Find the LCD, which is 12, and adjust them according to that.
=\frac{\frac{4x-3y}{12}}{\frac{3x+4y}{12}}
Divide.
=\frac{\left(4x-3y\right)\cdot \:12}{12\left(3x+4y\right)}
Cancel the common factor, which is 12.
=\frac{4x-3y}{3x+4y}
That would be our answer!

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
5 0
4 years ago
Read 2 more answers
Emma uses a 250 meters roll of crepe paper to make steamers how many dekameters of crepe paper does Emma use
Ksivusya [100]
The  dekameter (or decameter) first needs to be a translated into how many the meters. deka means 10, so a dekameter it must be 10 meters. So we have to divide 250 by 10, and then we will come up with 25 dekameters.
hope that helps!!
6 0
3 years ago
)) How many solutions does this equation have?<br> 12 + 4t - 14t = -13t - 18
Orlov [11]

Answer:

t = -10

Step-by-step explanation:

Ok so,

12 - 10t = -13t -18

12 - 10t + 13t = -13t + 13t - 18

12 + 3t = -18

12 - 12 + 3t = -18 - 12

3t = -30

t = -10

hope this helps! have a good day!

7 0
3 years ago
3x+2y=5 and 2x+2y Elimination method...help please​
Norma-Jean [14]
3x+2y=5
2x+2y=0

The solutions are: x=5, y=-5


8 0
3 years ago
7/9 ÷ 3/5 lowest terms
Artist 52 [7]
Simplify: 
(7/9)/(3/5)
Multiply the numerator by the reciprocal of the denominator, (7/9)/(3/5) = 7/9×5/3:
(7×5)/(9×3)
9×3 = 27:
(7×5)/27
7×5 = 35:
Answer:  35/27
3 0
4 years ago
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