f(x) = 9x-8
g(x) = x^3
(g°f) = (9x-8)^3
(g°f)(1) = (9(1)-8)^3 = (9-8)^3 = 1^3 = 1
Answer:
Part A:
The vertex : x = - b / 2 a = - 28 : ( - 2 ) = 14
y = f ( 14 ) = - 14² + 28 · 14 - 192 = 196 + 392 - 192 = 4
The vertex is ( 14, 4 ). It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.
Part B :
We will solve the quadratic equation:
x 1/2 = ( - 28 +/- sqrt ( 784 - 768 ) ) / ( - 2 )
x 1 = 12, x 2 = 16.
It means that if the shop must sell more than 12 and less then 16 sodas if they want to make a profit ( 13, 14, or 15 ). If they sell 12, or 16 they will brake even.
I think
N is a variable in algebra. Variables are letters that represent unknown numbers. Variables can be any letter of the alphabet.
Here's how to use n in an algebraic equation:
5 + n = 12
To find what N represents, let it be the only thing on the left side of the variable:
5 -5 + n = 12 - 5
n = 7
Happy to help!
Because I love books and helping people find things. The library is like my habitat. My home, reading is everything to me.
Answer:
I think you need pictures but i'll try to help.
Step-by-step explanation:
What ever line is displayed in the answer that goes up 2 and over 3 on the graph is your answer.
Ex.
If you start with a graph at point 0,0 then go up 2 to point 2 on the y axis then over 3 to point 3 on the x axis. Draw a straight line between the first coordinate which was 0,0 and the second which would be 3,2 that line would have a slope of 2/3. then the next coordinate after 3,2 would also go up 2 and over 3 which would be point 6,4 and that coordinate would also fall on the thee same line as the previous 2 coordinates.
