Answer:
1/11
Step-by-step explanation:
<u>Step 1: Find the total</u>
51 + 5 + 6 + 2 + 2
66
<u>Step 2: Find the probability</u>
6 / 66
(6/6) / (66/6)
1/11
Answer: 1/11
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 and explanation :
We have given that the expression 
We have to prove L.H.S = R.H.S
Lets take L.H.S
It can be written as 
( As in multiplication exponent are added )
So 
= R.H.S
Hence proved
Answer:
-7k+21
Step-by-step explanation:
The answer is D because if you multiply that amount earned in a week and the total number of weeks in a year, $57,668 is your answer.
