Answer: The answer is A. Just check the only answer with y=z.
The values of x for which the rational expression is undefined are -6 and -8.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a rational function:
![\rm f(x) = \dfrac{3x+20}{x^2+14x+48}](https://tex.z-dn.net/?f=%5Crm%20f%28x%29%20%3D%20%5Cdfrac%7B3x%2B20%7D%7Bx%5E2%2B14x%2B48%7D)
As we know in the rational function denominator cannot be zero:
The values of x for which the rational expression is undefined.
x² + 14x + 48 = 0
![\rm x_{1,\:2}=\dfrac{-14\pm \sqrt{14^2-4\cdot \:1\cdot \:48}}{2\cdot \:1}](https://tex.z-dn.net/?f=%5Crm%20x_%7B1%2C%5C%3A2%7D%3D%5Cdfrac%7B-14%5Cpm%20%5Csqrt%7B14%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A48%7D%7D%7B2%5Ccdot%20%5C%3A1%7D)
![\rm x_1=\dfrac{-14+2}{2\cdot \:1},\:x_2=\dfrac{-14-2}{2\cdot \:1}](https://tex.z-dn.net/?f=%5Crm%20x_1%3D%5Cdfrac%7B-14%2B2%7D%7B2%5Ccdot%20%5C%3A1%7D%2C%5C%3Ax_2%3D%5Cdfrac%7B-14-2%7D%7B2%5Ccdot%20%5C%3A1%7D)
x = -6, -8
Thus, the values of x for which the rational expression is undefined are -6 and -8.
Learn more about the function here:
brainly.com/question/5245372
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There are three types of transformation, and those are rotation, reflection, and translation. Since it is obviously not translation, we have to decide whether it is reflection or rotation. Your body does rotate while you're doing cartwheels, but you return to your initial position in the end, which means that it is reflection, not rotation.
The correct answer is reflection.
Answer:
Step-by-step explanation:
(11 + 34 - 3^2) / (6 + 6) =
(11 + 34 - 9) / 12 =
36/12 =
3
Answer:
Maggie is 11 years old
Step-by-step explanation:
let m be Maggie and b be her brother.
![m+b=59](https://tex.z-dn.net/?f=m%2Bb%3D59)
![b=4m-6](https://tex.z-dn.net/?f=b%3D4m-6)
substitute for b.
![m+4m-6=59](https://tex.z-dn.net/?f=m%2B4m-6%3D59)
![5m-6=59](https://tex.z-dn.net/?f=5m-6%3D59)
add 6 to both sides
![5m=55](https://tex.z-dn.net/?f=5m%3D55)
divide by 5 on both sides
![m=11](https://tex.z-dn.net/?f=m%3D11)
double check by finding the brother's age by substituting for m
![11+b=59](https://tex.z-dn.net/?f=11%2Bb%3D59)
![b=48](https://tex.z-dn.net/?f=b%3D48)