The cost function is
c = 0.000015x² - 0.03x + 35
where x = number of tires.
To find the value of x that minimizes cost, the derivative of c with respect to x should be zero. Therefore
0.000015*2x - 0.03 = 0
0.00003x = 0.03
x = 1000
Note:
The second derivative of c with respect to x is positive (= 0.00003), so the value for x will yield the minimum value.
The minimum cost is
Cmin = 0.000015*1000² - 0.03*1000 + 35
= 20
Answer:
Number of tires = 1000
Minimum cost = 20
The answer would be C! Correct me if I’m wrong guys
Answer:
picture: the one with the triangle in red on the base (first picture of box)
Equation: a^2 + 11^2 = c^2
Step-by-step explanation:
as we can see for the first one, the equation we see is 20^2 + 8^2 = c^2, so you look for the picture with those numbers on the triangle.
and to find the equation we look at the picture and see that in the triangle the numbers are 11 and a. And we know the equation has to be 11^2 + a^2 = c^2 And see if that equation is there
Given the equation:
Let's determine the trigonometric identity that you could be used to verify the exquation.
Let's determine the identity:
Apply the trigonometric identity:
Replace cosx for 1/secx
Thus, we have:
The equation is an identity.
Therefore, the trignonometric identity you would use to verify the equation is:
ANSWER:
The vertex of the graph is at (5, (6 + 2)/2) = (5, 4)
The equation of a quadratic graph is given by y - k = 4p(x - h)^2, where (h, k) is the vertex, p is the distance from the vertex to the focus.
Here, (h, k) = (5, 4) and p = 6 - 2 = 2 and since the focus is on top of the directrix, the parabola is facing up and the value of p is positive.
Therefore, the required equation is y - 4 = 4(2)(x - 5)^2
y - 4 = 8(x^2 - 10x + 25)
y - 4 = 8x^2 - 80x + 200
y = 8x^2 - 80x + 204
