We notice a factor of 2x in both
2x(5x^2+4x-3)
trial and error
(5x-3)(x+1) yeilds 5x^2+2x-3, nope
(5x+3)(x-1) yeilds 5x^2-2x-3, nope
(5x-1)(x+3) yeilds 5x^2+14x-3, nope
(5x+1)(x-3) yeilds 5x^2-14x-3, nope
simplest form is
2x(5x^2+4x-3)
Alfonso will need to work 8 hours. What i did was multiply 8 by 6 which is 48 then subtracted 48 by 144 and got 96 then you divide that by 12 which is 8, and that is how many hours he will have to work.
As the equation does not consists like terms we can only get x , y equations.
Step-by-step explanation:
Firstly, they are not like terms.
If the value to be is found is X then,
8x+5y=4
Now subtract 5y on both sides
8x+5y-5y=4-5y
here both positive 5y and negative 5y get cancelled
Now divide by 8
x=(4-5y)/8
If we need y value then,
subtracting both sides by 8x
5y=4-8x
Now dividing with 5 on both sides
y=(4-8x)/5 =>y=4/5 -8x/5
According to Y=mx+c
slope = m = 4/5
y-intercept = -8x/5.
Producing 73.8 units gives the lowest possible average cost.
The average cost (AC) is the ratio of the total cost to the number of units produced. It is given by:
AC = C(x) / x
AC = (0.2x³ – 24x² + 1514x +30064) / x
AC = 0.2x² - 24x + 1514 + 30064/x
The lowest possible average cost is at AC' = 0. Hence differentiating the average cost, gives:
AC' = 0.4x - 24 - 30064/x²
0.4x - 24 - 30064/x² = 0
0.4x³ - 24x² - 30064 = 0
Solving the cubic polynomial gives:
x = 73.8 units
Therefore the lowest possible average cost is when 73.8 units are produced.
Find out more at: brainly.com/question/20346871
N= the # of books
So you're trying to find n and you have the cost for the printed books, which is 15,000, so you would set up your equation like this:
15,000=500+10n
Subtract 500 from each side
14850=10n
Divide by 10
n=1,485 books are printed
