Differentiate both sides with respect to :
We have by the chain rule,
so that
Answer:
B
Step-by-step explanation:
Using the rules of radicals
=
=
Given
Square each term in the parenthesis the take the seventh root of the result
= → B
Answer:
14, 20, 0, 0, 0
Step-by-step explanation:
The notation indicates the absolute value of x, therefore it can be rewritten as:
if x 0
if x < 0
In this problem, we have the expression
Therefore, we can rewrite it as:
if x ≥ 0:
(a)
If x < 0:
(b)
So now we can substitute the given values into the two expressions:
x = 7 (positive value, so we use expression (a):
x = 10 (positive values, so we use expression (a):
x = 0 (zero, so we can use expression (a):
x = -3 (negative value, so we use expression (b):
x = -8 (negative value, so we use expression (b):
Answer:
John needs yards of blue ribbon.
Step-by-step explanation:
We have been given that Jon uses a piece of red ribbon witch is 3/4th yard long. Jon also needs blue ribbon that is 5 times as long as the ribbon. We are asked to find the amount of blue ribbon that John needs.
To find the amount of blue ribbon that John needs, we will multiply amount of red ribbon by 5 as shown below:
Therefore, John needs yards of blue ribbon.