Answer:
Inequality Form:
−30<x<16
Interval Notation:
(−30,16)
Step-by-step explanation:
F(x) = x^2 + 3
g(x) = 3x + 7
(g o f)(x) = g(f(x)) = g(x^2 + 3) = 3(x^2 + 3) + 7 = 3x^2 + 9 + 7 = 3x^2 + 16
(g o f)(7) = 3(7)^2 + 16 = 3(49) + 16 = 147 + 16 = 163
Answer: 38.45
Step-by-step explanation:
Answer:
1 and 3, if im wrong i am sorry I have not don this in a long time
Step-by-step explanation:
2.75 cups were in the punch bowl before felicia refilled it .
<u>Step-by-step explanation:</u>
Here we have , the punch bowl at felicia's party is getting low so she adds 12 cups of punch to the bowl two guests serve themselves 1.25 cups and 2 cups and 2 cups of punch the punch bowl now contains 11.5 cups of punch . We need to find how many cups were in the punch bowl before felicia refilled it let n=number of cups bowl before felicia refilled it. Let's find out:
Initially we have , n number of cups of punch ! Than 12 additional cups were added , given below is the equation framed for the number of cups present:
⇒
Now , After this 1.25 and 2 cups were served by guests themselves and remaining cups were 11.5 i.e.
⇒
⇒
Equating both we get :
⇒
⇒
⇒
Therefore , 2.75 cups were in the punch bowl before felicia refilled it .