Answer:
1.25
Step-by-step explanation:
(1/10) x 12.5
Answer:
Step-by-step explanation:
Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discharging hot water into the river is given by
T(x) = 160-0.05x^2
a. [0, 10]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
The average temperature
= (160 + 155)/2 = 157.5
b. [10, 40]
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (80 + 155)/2 = 117.5
c. [0, 40]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (160 + 80)/2 = 120
Focus on triangles DFC and DFE:
- They are both right triangles because DF is perpendicular to EC
So, the two triangles are congruent. It follows that CF=FE, and in particular
And since x=3, the length of EF is
Suppose x is sold, $280 each , and y is the total financial cost. The first equation in the system is then certainly y = 280x.
The vertex form <span>y-k = a(x-h)^2 where (h,k) is the vertex, and y is the y-intercept.
So, plug the values in.
</span><span>11,000-24,000 = a(0-500)^2
-13,000=250,000a
a=-0.052
y-</span><span>24,000 = -0.052(x-500)^2
y= </span><span>-0.052(x-500)^2 + 24,000
This is the second equation in the system.
The answer is then A, which contain the system </span><span>of equations which can be used to determine must be sold for the company to make a profit.</span>
