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:
scientific notation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
10
. The sign of the exponent will depend on the direction you are moving the decimal.
5×10−1
Step-by-step explanation:
plz give brainliest
N = .6(savings)r remainder = .4(savings) n/r =.6s/.4sn/r = 1.5n = 1.5r
Answer:
See below
Step-by-step explanation:
Center: (-3, 4)
radius = r =
= 5
diameter = 2r = 10
It's saying that 95% of the time the comparison from test to retest is 96% reliable.
so I would take (0.95+0.96)÷2= 0.955
then 73×0.955=69.715
then 73-69.715=3.285
so I would range the possible true score between 69.715 and 76.285
also written as 73 ± 3.285