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.
Answer:
The probability that a child with a rash does not have a fever is 22%
Step-by-step explanation:
1. Probability of having fever:
2. Probability of not having fever:
3. Probability of fave fevers and a rash:
4. Probability of having a rash but not a fever:
5. Probability of having a rash:
6. Probability a child with a rash does not have a fever
22% of the child at the doctor's office with a rash does not have a fever.
A percent between 25 and 50 can be 35%
35% as a decimal is 0.35
35% as a fraction = 35/100
35/100 simplest form = 7/20
hope this helps
Answer:
She can advertise for 10 days
Step-by-step explanation:
Here, we want to know for how long can Jackie advertise if she decides to buy a 4-line ad which will run for three days.
The total money she has or she wants to spend is $15.
Now if $4.35 will run for 3 days
then $15 will run for x days
4.35 * x = 15 * 3
4.35x = 45
x = 45/4.35
x = 10.34 which is approximately 10 to the nearest whole number
Answer:
x=-6
Step-by-step explanation:
6(x+3)+8=-10
6x +18+8=-10
6x+26=-10
-26 -26
6x= -36
÷6 ÷6
x=-6
