Answer:
22.5 liters
Step-by-step explanation:
Answer:
I'm going to lay this out in a chart so it's a little easier to see:
F(x) = f(g(x))
x | f (x) | f ' (x) | g (x) | g ' (x)
--------------------------------------
-2 | 8 | 4 |
5 | | 3 | -2 | 6
Remember the chain rule, which says
(f (g (x))) ' = g ' (x) f ' (g (x))
When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.
Using the chain rule, that's
F ' (5) = g ' (5) f ' (g (5))
We can simplify using the numbers provided.
F ' (5) = (6) f ' (-2)
F ' (5) = (6) (4)
F ' (5) = 24
I hope that helps!
by jannat <33
Step-by-step explanation:
subtract 7155 from both sides, multiply both sides by 10130, and then divide both sides by two
F(-8)=8^2-3(-8)
=64+24
=88
Hope this can help.
Answer:
D) Owen’s function has a greater slope, and Rose’s function has a greater y-intercept
Step-by-step explanation:
slope-intercept form of linear equation: y = mx + b
(where m is the slope and b is the y-intercept)
Slope = change in y ÷ change in x
y-intercept is where the line crosses the y-axis
Owen: y = (3/4)x + 1
Rose: y = (2/3)x + 2
Owen's function has a greater slope, since 3/4 > 2/3
Rose's function has a greater y-intercept, since 2 > 1