Answer:
step below and graph
Step-by-step explanation:
y intercept: x=0 y = (-1/18) * 3 * (-3) * (-4) = - 2
y = -1/18 * (x³ - 4x² - 9x +36) ... leading coefficient: (-1/18 x³) -1/18
highest degree:( x³) 3
9514 1404 393
Answer:
(x, y) = (3, 7)
Step-by-step explanation:
If you divide the second equation by 2, it becomes ...
-x +2y = 11
Adding this to the first equation gives you the value of y:
(x -y) +(-x +2y) = (-4) +(11)
y = 7 . . . . . . . . simplify
The first equation can be rearranged to give an expression for x:
x = y -4
x = 7 -4 = 3
Then the solution is seen to be (x, y) = (3, 7).
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Personally, I like a graphing calculator for a quick and easy solution to many linear systems. (If the solutions are non-integers, it may not be so helpful.)
Answer:
D. 59.50$
Step-by-step explanation:
Lets make an equation:
we know she is going to use 2 parts of yellow to 3 parts of red and she needs 10 quarts, therefore the equation would be:
2x+3x=10
x = 2
2 * 2 = 4( we need four quarts of yellow paint)
Price for yellow paint = 4 * 5.50 = 22
2 * 3 = 6(we need 6 quarts of red paint)
Price for red paint = 6 * 6.25 37.5
Add those prices: 37.5 + 22 = 59.50$
79 is a prime, so we cannot reduce it.
For this case, the first thing we must do is calculate the number of attendees who will make purchases.
We have then:
(42000) * (0.65) = 27300
We are now looking for the number of attendees that each vendor will attend.
We have then:
N = (27300) / (10)
N = 2730
Answer:
the average number of customers each will serve is:
N = 2730