Answer:
Domain = {All real values of x EXCEPT x = -5 and x = 7}
Step-by-step explanation:
This is a rational function given as y=\frac{6+9x}{6-|x-1|}y=
6−∣x−1∣
6+9x
The domain is the set of all real value of x for which the function is defined.
For rational functions, we need to find which value of x makes the denominator equal to 0. We need to exclude those values from the domain.
Now
6 - |x-1| = 0
|x-1| = 6
x- 1 = 6
or
-(x-1) = 6
x = 6+1 = 7
and
-x+1=6
x = 1-6 = -5
So, the x values of -5 and 7 makes this function undefined. So the domain is the set of all real numbers except x = -5 and x = 7
36j + j = 37j
Explanation.
You could translate this sum into a normal sebtence: I have 36 apples and add 1 apple more.
The sum will then be 36 apples + apple = 37 apples.
Replacing the word (in this explanation 'apple') by a letter learns us 36a + a = 37a
Hence 36j + j = 37j
4x-24y. Basically you distribute 4 to x which makes it 4x and distribute 4 to 6 which multiplies to 24 and you drop y next to it making it 24y
Answer:
Step-by-step explanation:
Answer:
7/16
Step-by-step explanation:
Let the fraction be x/y
(x+5)/(y+5) = 4/7
7x + 35 = 4y + 20
7x + 15 = 4y
(x-1)/(y-1) = 2/5
5x - 5 = 2y - 2
2y = 5x - 3
7x + 15 = 2(5x - 3)
7x + 15 = 10x - 6
3x = 21
x = 7
2y = 5(7) - 3
2y = 32
y = 16
x/y = 7/16
