A:
(f+g)(x)=f(x)+g(x)
(f+g)(x)=4x-5+3x+9
(f+g)(x)=7x+4
B:
(f•g)(x)=f(x)•g(x)
(f•g)(x)=(4x-5)(3x+9)
(f•g)(x)=12x^2-15x+36x-45
(f•g)(x)=12x^2+21x-45
C:
(f○g)(x)=f(g(x))
(f○g)(x)=4(3x+9)-5
(f○g)(x)=12x+36-5
(f○g)(x)=12x+31
If you are given 2 points, it's easy to find the slope.
(8, -6)
(3, -2)
slope = (y₂ - y₁) / (x₂ - x₁)
slope = (-2 + 6) / (3 - 8)
slope = (4) / (-5)
m = 4/-5 or -5/4 or
Answer:
960
Step-by-step explanation:
Over here, I'm going to do it in two ways, and either way works, one is just easier to do out:
1st way:
You can represent the percent 120 as a decimal which is 1.20, then you do 800*1.2.
2nd way:
You can use benchmark percents. You find 10 percent of 800 which is 80 and multiply 80 by 2 to get 160, so 20% is 160 dollars. Then you add 160 to 800 (800+160) and get 960.
Please tell me if you have any questions.
<u>Step-by-step explanation:</u>
The vertex form of an absolute value equation is: 
where
(h, k) is the vertex. In the given equation, 
, the h-value is 1/2 and the k-value is -2.
So, the vertex (h, k) = (1/2, -2)
