Answer:
Carmen's book by 13 pages.
Step-by-step explanation:
Step one
225-175 to get 50 pages per every 2 night for Amelia
Step two
224- 160 to get 64 pages every 2 night for Carmen
Step 3
Add 225 and 50 to get 275
Step 4
Add 224 and 64 o get 288
Step 5
Subtract 275 from 288 to get 13
The answer is 14.2.... hope this helps
1 14'th as a decimal would be 1/14 or 0.0714 (rounded to the nearest ten thousandth)
You would have to multiply 15 by 6 which would give you 90
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.
