The right way to find slope would be to use the rise/run method. For instance for the bottom line take the first dot, rise 7 and run to the right 6. So your slope for the bottom line is 7/6. Now do the same for your top line. I'll start at the bottom dot 6 and run right 6. If your slopes are the same that'd mean they were parallel. So no they are not parallel
4 times 12 is 48 so its 48
Answer:
-19/132
Step-by-step explanation:
To add fractions, find the lowest common multiple of the two denominators and multiply accordingly to make both denominators the same. In this case, the lowest common multiple of 11 and 12 is 132, so we need to multiply the first number by 12 and the second by 11. So we get = =
Answer:
49
Step-by-step explanation:
The cost function is the sum of the costs as a function of the number of bins made.
C(x) = 4x + 18424
The profit function is the difference between the revenue and the cost functions.
P(x) = R(x) - C(x)
P(x) = -2x^2 + 478x - (4x + 18424)
P(x) = -2x^2 + 474x - 18424
The smallest break-even point is the smallest value of x at which profit is zero. Zero profit means there is no gain and no loss.
P(x) = -2x^2 + 474x - 18424 = 0
x^2 - 237x + 9212 = 0
9212 = 2^2 * 7^2 * 47
(x - 188)(x - 49) = 0
x - 188 = 0 or x - 49 = 0
x = 188 or x = 49
Answer: 49
Answer:
Proved
Step-by-step explanation:
To prove that if n is a perfect square, then n+1 can never be a perfect square
Let n be a perfect square
Let
Subtract to get
Solution is y+x=y-x=1
This gives x=0
So only 0 and 1 are consecutive integers which are perfect squares
No other integer satisfies y+x=y-x=1