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
So first what you want to do is take 98 and subtract it by 48. Which gives us 50. Now what we do is that since we are finding two numbers we would have to divide that by half, which would give us 25. Both of them are now equal. To find the number that makes that difference, we need to add 48 to one of the 25 values. Which would be 73. Meaning that the two numbers are 73 and 25. They both add up to 98 and 73 has a difference of 48 from 25.
Answer:
(-2,9)
Step-by-step explanation:
Answer:
x = 2,−6
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero
So use cancelation
multiply first equation by 2
2x+8y=10
times 2
4x+16y=20
now add
4x+16y=20
<u>-4x-9y=-13 +
</u>0x+7y=7
7y=7
divide by 7
y=1
subsittue
2x+8y=10
2x+8(1)=10
2x+8=10
subtract 8 from both sides
2x=2
divide by 2
x=1
x=1
y=1
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