6
We have, 2a + 24 = 30or, 2a = 30-24or, 2a = 6or, a = 6/2 = 3.Therefore, a equals 3 or simply a=3
= a + b - 2
6
A equals 4 because 4 plus 6 is 10 or 10 minus 6 is 4.
6
We have, 2a + 24 = 30or, 2a = 30-24or, 2a = 6or, a = 6/2 = 3.Therefore, a equals 3 or simply a=3
6a+1=2a+25 Subtract 2a from both sides 4a+1=25 Subtract 1 from both sides 4a=24 Divide both sides by 4 a=6 That is your final answer.
= a + b - 2
If that's -10, the answer is (a + 5)(a - 2). If that's +10, it gets ugly in a hurry.
6
A equals 4 because 4 plus 6 is 10 or 10 minus 6 is 4.
-4 plus 10 equals 6.
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:
12a + 6b + 6c = 6(2a + b + c)
6+1 equals 7. Plus 3 equals 10. Plus 4 equals 14.
2a + 21 = 8a - 9Add 9 to each side:2a + 30 = 8aSubtract 2a from each side:30 = 6aDivide each side by 6:5 = a