Answer:
(5, - 4 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = - 2 → (1)
3x - y = 19 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the y- term
9x - 3y = 57 → (3)
Add (1) and (3) term by term to eliminate y
(2x + 9x) + (3y - 3y) = (- 2 + 57), that is
11x = 55 ( divide both sides by 5 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (1)
2(5) + 3y = - 2
10 + 3y = - 2 ( subtract 10 from both sides )
3y = - 12 ( divide both sides by 3 )
y = - 4
Solution is (5, - 4 )
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Step-by-step explanation:
1minute=2lap
30lap=30/2
=15minutes
Answer:
you will 180 pints of the 100% juice and 540 pints of the 40% juice
Step-by-step explanation:
in order to get a 55% mixture you must combine 1 100% and 3 40%
100 + 120 = 220 then divide by 4 and you get 55% juice
now you must use 180 100% juice and 540 40 % juice to make 180 pints
you need this because the ratio is 3 40% to every 1 100%
Answer:
A
Step-by-step explanation:
The general rule for the quadratic function is
Use the data from the table:
We get the system of three equations:
From the first equation
then
Add these two equations:
So,
The quadratic function is
