Answer:
1: >
2: <
3: <
Step-by-step explanation:
Not much, just comparing the values.
To find the largest possible rectangular area, you must find the two highest common factors, which are, in this case is 20 x 10. therefore the answer is 20m x 10m
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 $10,500. This is the minimum cost of this manufacturing operation.
Answer:
7 hours
Step-by-step explanation:
25.75(total cost of the rental)
-10.00 (cost of initially renting the bike)
----------------
15.75$ (cost of hourly fees)
15.75/2.25(hourly rate) = 7
