Y = -2x + 8 = x - 4
x + 2x = 8 + 4
3x = 12
x = 4
y = -2(4) + 8 = -8 + 8 = 0
Solution is (4, 0)
h(x) = 5 - 9x
h(8) = 5 - 9×8 ( putting value x = 8)
h(8) = 5 - 72
h(8) = -67
Answer is -67.
Answer: This is possible because of the total of matches played. If the Badgers have won a greater percentage of their games than the Cougars, it means that they played less games.
Step-by-step explanation: The percentage of games won is related to the total number of games played. For example, let's suppose that the Badgers played 10 games, won 6 and lost 4, they won 60% of their games. If the Cougars played 12 games, won 6 and lost 6, their percentage is 50%. This way, they have the same number of wins but different percentages.
Let x represent the first even integer: x = 2(k) → y = 2k
Let y represent the second even integer: y = 2(k + 1) → y = 2k + 2
x · y = 48
(2k) · (2k + 2) = 48
4k² + 4k - 48 = 0
4(k² + k - 12) = 0
4 (k + 3)(k - 2) = 0
k = -3, k = 2 (Note: POSITIVE integers so k = -3 is ruled out)
x = 2k → x = 2(2) → x = 4
y = 2(k + 1) → y = 2(2 + 1) → y = 2(3) → y = 6
The smaller number (x) is 4