Answer:
Its the middle choice
Step-by-step explanation:
Answer:
150 bikes, $10,500 minimum manufacturing cost
Step-by-step explanation:
5x^2 - 1500x + 123000 is represented by a parabolic graph that opens up. You could easily estimate the x value at which C(x) is at a minimum, as well as the smallest C(x) value.
Or you could do this problem algebraically by finding the vertex of the parabola. The results MUST be the same as before.
-b
The equation of the axis of symmetry of this curve is x = ---------
2a
... which here is x = 1500
--------- = 150 units (150 bikes)
2(5)
Evaluating C(x) (see the problem statement) at x = 150 leads to finding the minimum cost. I like to use synthetic division to evaluate polynomials. Here, the divisor would be 150 and the coefficients of the quadratic would be
5 -1500 123000
Setting up synthetic division, we get:
150 / 5 -1500 123000
750 -112500
--------------------------------------
5 -750 10500
The remainder is $10,500. This is the minimum cost of this manufacturing operation.
For this case we have the following system of equations:
We can write a system of equivalent equations.
For this, it is enough to multiply one of the two equations by a scalar.
Multiplying the equation 1 by 2, we have:
Therefore, the new system of equations is:
Answer:
A system that is equivalent is:
D) 
Answer:
D
Step-by-step explanation:
To find the inverse of a function, first replace f(x) with y.
Next, switch all the x's and y's, and then solve for y.
Finally, replace y with f-1(x).
Answer:
1,174.958 gallons
Step-by-step explanation:
Begin by finding the volume of the cylinder V= π x r² x h
V = 3.14 x 25 x 2 = 157.08
Then multiply 7.48 gallons per cubic foot
7.48 x 157.08 = 1,174.958 gallons
