Answer:
5/6
Step-by-step explanation:
1 2/3 = 5/3
5/3 ÷ 2/1 =
5/3 × 1/2 =
5/6
Answer:
A) f(x) = |x|
B) f(x) = -|x+3| + 3
Step-by-step explanation:
Absolute value functions
The general form of an absolute value function is f(x) = a|x-b| +c
a indicates the 'amplitude' or multiplier
b indicates horizontal shift
c indicates vertical shift
The turning point of f(x) = |x| is (0, 0)
a = y/x when b = 0 and c = 0
A) f(x) = |x|
Since the turning point is still (0, 0) there is no horizontal nor vertical shift, meaning b = 0 and c = 0
We have the point (2, 2), thus a = 2/2 = 1
f(x) = a|x-b| + c
f(x) = |x|
B) f(x) = -|x+3| + 3
The turning point is at (-3, 3) b = -3 and c = +3
We have the point (3, -3), thus a = y/x = -3/3 = -1
f(x) = a|x-b| + c
f(x) = (-1) (|x-(-3)|) + (+3)
f(x) = -|x+3| + 3
To determine the marginal cost of the production, one needs to derive the given equation for the cost,
c(x) = 6x4 - 30x3 - 54x2 + x + 2
The derivative of the equation in terms of x is as reflected below.
c'(x) = 24x3 - 90x2 - 108x + 1
Equate the derivative to zero in order to determine the value of x .
c'(x) = 0 = 24x3 - 90x2 - 108 + 1
The value of x from the equation is 4.025.
Substituting x to the original equation,
c(x) = -1254.35 and at c(0) = 2
Answer:
57 and 57 or 66 and 48
Step-by-step explanation:
180-66=114
114/2=57