Answer:
3/8 is #1
3/16 is #2
4/9 is #3
Step-by-step explanation:
Hm so basically what the question is asking is
Answer:
Exact Form:
9/4
Decimal Form:
2.25
Mixed Number Form:
2 1/4
Step-by-step explanation:
She received $2
--
8x2= 16
So if 8 yuan equals $1 then 16 divided by 8 would be $2, hope this helped.
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.
