Answer:
C
Step-by-step explanation:
.jst c . i thnk it is.............
April would. She braids more, but at a slower pace. However, when they reach the 187 minute mark, April would have braided 77 times. Jeremy would have braided 68 times.
U(x) = f(x).(gx)
v(x) = f(x) / g(x)
Use chain rule to find u(x) and v(x).
u '(x) = f '(x) g(x) + f(x) g'(x)
v ' (x) = [f '(x) g(x) - f(x) g(x)] / [g(x)]^2
The functions given are piecewise.
You need to use the pieces that include the point x = 1.
You can calculate f '(x) and g '(x) at x =1, as the slopes of the lines that define each function.
And the slopes can be calculated graphycally as run / rise of each graph, around the given point.
f '(x) = slope of f (x); at x = 1, f '(1) = run / rise = 1/1 = 1
g '(x) = slope of g(x); at x = 1, g '(1) = run / rise = 1.5/ 1 = 1.5
You also need f (1) = 1 and g(1) = 2
Then:
u '(1) = f '(1) g(1) + f(1) g'(1) = 1*2 + 1*1.5 = 2 + 1.5 = 3.5
v ' (x) = [f '(1) g(1) - f(1) g(1)] / [g(1)]^2 = [1*2 - 1*1.5] / (2)^2 = [2-1.5]/4 =
= 0.5/4 = 0.125
Answers:
u '(1) = 3.5
v '(1) = 0.125
Total number of possible outcomes = 6
Total number of outcomes with 3 or multiple of 3 = 2
They are 3 and 6
P(3 or multiple of 3) = 2/6 = 1/3
Answer : 1/3
Simplify both sides if needed. The left-hand side needs simplification.
4(x - 6)
-2x + 6
4x - 24
-2x + 6
All is left to do is add and subtract to get the x variable all alone.
4x - 24
-2x + 6
6x - 24
6 <-- Add 2x to both sides
6x
30 <-- Add 24 to both sides
x
5 <-- Divide both sides by 6
In order to be in the solution set, x has to be less than or equal to 5.
In interval notation: [5, -∞)
