Answer:
A. 0.76, -0.76
Step-by-step explanation:
Answer:
Herman needs to buy 3 sticker packs to have a total of 100 stickers.
Explanation:
33 x 3 = 99
99 + 1 = 100
B - 3A = 2
3B - 6A = 12
(2)B - (6)A =4
3B - 6A = 12
Subtract
-B = -8
B = 8
Plugin 8 for B
8 - 3A = 2
8 = 3A + 2
6 = 3A
2 = A
(Double checking)
3(8) - 6A = 12
-6A = 12-24 = -12
- 6A = -12
Divide by -6
A= 2
It works
A = 2. B = 8. Hope this helps
Answer:
67
Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,
\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$
Also,
\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.
There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.
This is the aops answer :)
