Answer:
(f•g)(3) = -7
Step-by-step explanation:
f(x)=-2x + 7
g(x) = x^2 – 2
(f•g)(3) = -2(x² - 2) + 7
(f•g)(3) = -2x² + 4 +7
(f•g)(3) = -2x² + 11
(f•g)(3) = -2(3)² + 11
(f•g)(3) = -2(9) + 11
(f•g)(3) = -18 + 11
(f•g)(3) = -7
Answer:
x = 5
Step-by-step explanation:
1. Distributive Property
(Do what's in the parenthesis first)
4x - 2x + 6 = -4 + 5x - 5
2. Combine Like Terms
2x + 6 = -9 + 5x
3. Take away 6 on both sides
2x + 6 - 6 = -9 - 6 +5x
It will give u.....
2x = -15 + 5x
4. Subtract 5x on both sides
2x - 5x = -15
It will give u.....
-3x = -15
5. Divide by -3 on both sides to isolate the variable
-3x / 3 = -15/-3
Now you get....
x = 5
2 negatives make a positive
Thats ur answer
Hope this helped!
The original price is $30 because 40% off of 12 = 30
6(3x-5)-7x=25
18x-30-7x=25
11x=55
x=11
-2(5+6m)+16=-90
-10-12m+16=-90
-12m+6=-90
-12m=-96
m=8
The generic equation of the line is:

Where,
m: slope of the line
(T0, H0): ordered pair belonging to the line.
The slope of the line is:

Substituting values we have:

Rewriting:


Then, choosing an ordered pair we have:

Substituting values we have:

Rewriting the equation:

Then, for 8 hours we have:
Answer:
a linear equation to model the relationship between height H of the candle, and T time is:
the candle will be 12 inches after burning 8 hours