Answer: C
Step-by-step explanation:
If you multiply the 9 in the 900 by 5 you get 45 which is 5% of 900, multiply that by 4 gives 180 so she should have $180
Answer:
77 pictures
Step-by-step explanation:
You are trying to find 18% of 430.
18/100 = 9/50 * 430
756/10 = 75.6
77 is the closest choice out of all the other choices.
You did it right (almost, I got 21 instead of 19) but didn't finish. You need to show your discriminant is never negative.
x² + (p+1)x = 5-2p
x² + (p+1)x +(2p-5) =0
Real roots mean a positive (or at least non-negative) discriminant:
D = b² - 4ac = (p+1)² - 4(1)(2p - 5) = p² + 2p + 1 - 8p + 20
D = p² - 6p + 21
It's not totally obvious that D>0; we prove that by completing the square by noting
(p-3)² = p² - 6p + 9
so
p² - 6p = (p-3)² - 9.
D = p² - 6p + 21
D = (p-3)² - 9 + 21
D = (p-3)² + 12
Now we clearly see D>0 always because the squared term can't be negative, so D is always at least 12. We always get two distinct real roots.
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Answer : B
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I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
