Answer:
g(x)=x+6
Step-by-step explanation:
we have
f(x)=x+8
If f(x) is shifted 2 units to the right
then
The rule of the translation is
g(x)=f(x-2)
so
g(x)=(x-2)+8
g(x)=x+6
Answer:
![-6\leq x\leq 16](https://tex.z-dn.net/?f=-6%5Cleq%20x%5Cleq%2016)
Step-by-step explanation:
So we have the inequality:
![|x-5|\leq 11](https://tex.z-dn.net/?f=%7Cx-5%7C%5Cleq%2011)
Definition of Absolute Value:
![x-5\leq 11\text{ or } x-5\geq -11](https://tex.z-dn.net/?f=x-5%5Cleq%2011%5Ctext%7B%20or%20%7D%20x-5%5Cgeq%20-11)
Note that the sign is flipped in the second case because we multiplied by a negative.
Add 5 to both sides to both equations:
![x\leq 16\text{ or } x\geq -6](https://tex.z-dn.net/?f=x%5Cleq%2016%5Ctext%7B%20or%20%7D%20x%5Cgeq%20-6)
Merge:
![-6\leq x\leq 16](https://tex.z-dn.net/?f=-6%5Cleq%20x%5Cleq%2016)
And we're done!
Answer:
0.45hg
Step-by-step explanation:
Just move the decimal place two places to the left when converting something to hectograms, for example 1045 grams is 10.45 hectograms just move the decimal place twice to the left for this conversion.
Answer:
6y + 4x = 18 5/6
Step-by-step explanation:
-2x+5y=19
y= -5/6x - 1/6
Combine the xs
Combine the ys
Combine the whole numbers
6y + 4x = 18 5/6