Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
Answer:
The radius of circle O is 8.5 Units
Step-by-step explanation:
Solution
The radius of a circle is refereed to as the half of the diameter.
Now,
On how to figure out the length of AB, we apply the Pythagorean's equation or formula which is given below
Thus,
a² + b² = c²
(15)² + (8)² = c²
225 + 64 = c²
√289 = √c²
Then
c = 17
What this shows is that AB is 17 units.
Since we have gotten the diameter, the next step is to divide into half the know the radius value
Therefore,
17 ÷ 2 = 8.5 Units
= 8.5 Units.
Answer:
x = - 90
Step-by-step explanation:
Given
10x + 60 = 9x - 30 ( subtract 9x from both sides )
x + 60 = - 30 ( subtract 60 from both sides )
x = - 90
Answer:
They both equal
Step-by-step explanation:
For number two, to get the area, multiply 6 and 14 which is 84. C is the answer. I can’t see 3.