We are given the functions:
<span>S (p) = 40 + 0.008 p^3 --->
1</span>
<span>D (p) = 200 – 0.16 p^2 --->
2</span>
T o find for the price in which the price of supply equals
demand, all we have to do is to equate the two equations, equation 1 and 2, and
calculate for the value of p, therefore:
S (p) = D (p)
40 + 0.008 p^3 = 200 – 0.16 p^2
0.008 p^3 + 0.16 p^2 = 160
p^3 + 20 p^2 = 20,000
p^3 + 20 p^2 – 20,000 = 0
Calculating for the roots using the calculator gives us:
p = 21.86, -20.93±21.84i
Since price cannot be imaginary therefore:
p = 21.86
Answer:
first graph is not a function, second graph is a function, 3rd is not enough information, 4th is a function, 5th is not a function, 6th is a function
Step-by-step explanation:
Answer:
ranges from 2890 miles to 5780 miles.
Step-by-step explanation:
Let us call the number of miles the car travels, and 
the number of gallons of gas that are used, then we have the relationship
<em>(this says the car travels 17 miles for each gallon of gas).</em>
Now, when 
, we have
and when 
, we have
So, when goes from 170 to 340, goes from 
to 
.
Therefore, when ranges from 170 to 340 gallons, the distance traveled ranges from 2890 to 5780 miles.
Answer:
The answer is
<h2>
</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
B ( 3 , 1 ) and C( 6 , 3)
The distance between them is
We have the final answer as
Hope this helps you
