Answer:
Step-by-step explanation:
The domain of a rational function is all real numbers <em>except </em>for when the denominator equals 0.
So, to find the domain restrictions, set the denominator to 0 and solve for x.
We have the rational function:
Set the denominator to 0:
Subtract 9:
So, the domain is all real numbers except for -9.
In other words, our domain is all values to the left of negative 9 and to the right of negative 9.
In interval notation, this is:
And we're done :)
Answer:
15/32
Step-by-step explanation:
(-3/4)÷(-8/5)
(-3/4)×(-5/8)
15/32
16 gal... 480 mi
1 gal... 480/16 = 30 mi
9 gal.. 30*9 = 270 mi
Answer:
$200 : $150
Step-by-step explanation:
Sum the parts of the ratio, 4 + 3 = 7 parts
Divide the total by 7 to find the value of one part of the ratio.
$350 ÷ 7 = $50 ← value of 1 part of the ratio
4 parts = 4 × $50 = $200
3 parts = 3 × $50 = $150
Answer:
e < -5
Step-by-step explanation:
5e + 4 < 3e - 6
Subtract 3e from the right side
2e + 4 < -6
Subtract 4 from the left side
2e < -10
Divide both sides by 2
e < -5
