To answer this item, we take the differential of the equation and equate to zero.
C(x) = 0.8x² - 256x + 25939
Differentiation,
dC(x) = 1.6x - 256
dC(x) = 1.6x - 256 = 0
The value of x from the derived equation above is 160.
Thus, the number of machine to be made in order to minimize the cost should be 160.
C=8h+12
the 8h represents the $8 per hour for renting the boat, and h represents however many hours you rent the boat for. The +12 is the initial $12 fee. This is in slope intercept form, just using different variables than y=mx+b
220. Think of it this way: 5 and above, give it a shove, 4 and below, keep it down low. That means that if the last number is five or above, push it up to the nearest 10, and if the last number is four or below, round to the lowest 10.
Answer: All Real Number
Step-by-step explanation:
This is a system of equation, and generally, there are three ways to solve:
- elimination
- substitution
- augmented matrix
Here, we are going to use elimination
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Given
-2x-y=1
-6x=3y+3
Put them in the same order
-2x-y=1
-6x-3y=3
Multiply 3 on both sides for the first equation
-6x-3y=3
-6x-3y=3
We subtract the first equation from the second equation
0=0
The answer will be All Real Numbers, which means any real number will fit this equation. In the graphing method, these two equations will overlap each other.
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Answer:
She has 16 friends
Step-by-step explanation:
40 minus 8 is 32 so that divided by 2 is 16
