Answer:
a vertical shift of f, c units down
Step-by-step explanation:
Given:
- A function h(x) is defined as:
h(x) = f(x) − c
Find:
- The effect of "c" on the f(x) function.
Solution:
- The effect of adding or subtracting any constant to or from a given function f(x) shifts the f(x) value for all values of x by an amount "c"
- This effect can be modeled on a graph by a "vertical shift" i.e there is an increase/decrease in every "y" value by amount "c" units.
- In the case given we see that "c" units have been subtracted from original f(x).
- Meaning, all f(x) values have decreased for every value of x. This can be categorized as vertical shift of f(x) with "c" units down.
The answer is d because when you go from positive to negative you add the positive number to get to zero and than add the number you are getting to make sense?
Is in mathematics means the equal sign
of in mathematics means multiplication
So translating that sentence into an algebraic expression, it would be:
0.04 = 1/10 x 0.4
And that statement is true! Because when you divide a number by 10, you move the decimal over to the left one time.
-56 A negative Multiplied by a Positive is a Negative
Answer:
The correct answer is 10 for lowest average cost and the cost function is 0.2
+ 75x + 20.
Step-by-step explanation:
Average cost function is given by =
= C(x) = 0.2x +
+75.
For minimizing we need to find
C(x) = 0.
⇒
C(x) = 0.2 -
.
⇒
= 0.2
⇒
= 100.
⇒ x = ±10
⇒ x = 10 ; cost cannot be negative.
Second order derivative is positive which implies the average cost minimizes.
Original cost function is given by C(x) × x = 0.2
+ 75x + 20.