What is this question asking
ANSWER
![f(x) = \frac{ {x}^{2} }{ {x}^{2} + 1 }](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%201%20%7D%20)
EXPLANATION
We write the function such that both the numerator and the denominator are prime.
An example of a rational function with no vertical asymptotes and no holes is
![f(x) = \frac{ {x}^{2} }{ {x}^{2} + 1 }](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%201%20%7D%20)
For the above rational function, the denominator is never zero, so there are no vertical asymptotes.
Also the highest common factor for the numerator and the denominator is 1 so there are no holes.
Answer:
4
Step-by-step explanation:
For the first triangle which is triangle <KJL
Hypotenuse= 8✓2
Angle=30°
Opposite = ?
Therefore we will use Sine formula
Sin30° = Y/8✓2
Y=4✓2
For the second triangle which is triangle <JML
Hypotenuse= 4✓2
Opposite=X
Angle=45°
Therefore we will use Sine formula again
Sin45°=X/4✓2
X=4
To find the slope of the line, first find the slope of 3x + y = 5, and then its opposite reciprocal.
3x + y = 5
y = -3x + 5
the slope of 3x + y = 5 is -3.
the slope is -3, so the opposite reciprocal slope is 1/3.
the equation of any line is y = ax + b
to find this line, y = 3, x = -9, and the slope is 1/3.
3 = -9a + b
3 = -9 (1/3) + b
3 = -3 +b
b = 6
substitute a and b into the equation
y = ax + b
y = 1/3x + 6
the equation of the line is y = 1/3x + 6.