4
-2a + 5 = 1 -2a = -5 + 1 -2a = -4 a = -4/-2 a = 2
-2a - 4 = -16.8 -2a = -12.8 a = -12.8/-2 a = 6.4
a = 4
12a + 4 - 10a = 2a + 4 or 2*(a + 2)
4
-2a + 5 = 1 -2a = -5 + 1 -2a = -4 a = -4/-2 a = 2
-2a - 4 = -16.8 -2a = -12.8 a = -12.8/-2 a = 6.4
2a+12=8 2a=-4 a=-2 So a is -2.
a = 3a + 4 0 = 2a + 4 2a = -4 a = -2
a = 4
12a + 4 - 10a = 2a + 4 or 2*(a + 2)
2(4) - 5 = 8 - 5 = 3
T(x) = ax^2 + bx + cT(0) = -4T(1) = -2T(2) = 6Solution:Since T(0) = -4, then c = -4.So, when x = 1, we have:-2 = a(1)^2 + b(1) - 4-2 = a + b - 4-2 + 4 = a + b - 4 + 42 = a + b2 - a = a - a + b2 - a = bWhen x = 2, we have:6 = a(2)^2 + b(2) - 46 = 4a + 2b - 46 + 4 = 4a + 2b - 4 + 410 = 4a + 2b10/2 = 4a/2 + 2b/25 = 2a + b5 - 2a = 2a - 2a + b5 - 2a = b2 - a = 5 - 2a2 - 2 - a + 2a = 5 - 2 - 2a + 2aa = 32 - a = b2 - 3 = b-1 = bThus, a = 3, b = -1, and c = -4.Check:
2a -3 means 2 times a minus 3 if a = 2 we have 2 x 2 - 3 = 4 - 3 = 1
2a + 3a + 4 = 5a + 4
Simple algebra, 2a-20 = -2 2a=18 a=18/2 a=9