A)4/13 would be the larger number since if you were to try to add them, 4/13 = 40/130 and 3/10 = 39/130, 40/130 > 39/130
B) A rational number between them would be 39.5/130.
[|] Answer [|]
[|] Explanation [|]
Rewrite the equation with parts separated:
8 + 7/9 - 3 - 2/3
Solve the whole number parts:
8 - 3 = 5
Solve the fraction parts:
7/9 - 2/3
Find LCD of 7/9 & 2/3
7/9 - 6/9 = 1/9
5 + 1/9 = 5 1/9
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Converting to vertex form is one way of doing this
2x^2 + 12x + 19
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2 - 9] + 19
= 2(x + 3)^2 - 18 + 19
= 2(x + 3)^2 + 1
the minimum value is 1
I believe the answer is D. because -12 + -1 equal -13
