3m^3 -2m^2 + 4m + 2
To factor the first problem you have to divide all by 4
The second one is m - <span>√16m +8
To factor the second problem you have to square root it all</span>
9514 1404 393
Answer:
m = (5x -6)/(43y -4)
Step-by-step explanation:
Subtract 4m+6 to separate m-terms from other terms.
5x +4m -(4m +6) = 43my +6 -(4m +6)
5x -6 = 43my -4m
5x -6 = m(43y -4) . . . . factor out m
(5x -6)/(43y -4) = m . . . . divide by the coefficient of m
<span>At a 3% increase you would use 1.03 * 1000 L = 1030 L next year</span>
quadratic equations can be soled by 3 methods
factorization
completing square
quadratic formula
but factorization is the simplest
Let the number of gallons consumed be the first car be x, and that of the second car, y. Then:
x + y = 50 . . . . . . . (1)
20x + 15y = 850. . . (2)
(1) x 20 => 20x + 20y = 1000 . . . (3)
(2) - (3) => -5y = -150 => y = -150/-5 = 30
From (1), x + 30 = 50 => x = 50 - 30 = 20
Therefore, first car consumed 20 gallons and the second consumed 30 gallons.