If

, then you have


By the intermediate value theorem, there will be some number

such that

(i.e.

will have a root in

) if you can guarantee that

or

.
Since the coefficients

are all positive, then you know right away that

, so you need to have

in order for there to be such a

.
This means you need to have

which means (A) must be the answer.
10) 4 1/2 inches thick. You would add them together and simplify 2/4 into 1/2.
11) Yes. He needed a stick that was about 5 feet long. It is only a little longer and he could easily make it shorter.
ANSWER
The correct answer is A
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<u>EXPLANATION</u>

This implies that

We solve the compound inequality to obtain,

Remember that, dividing through by negative 1 reverses the inequality sign
The solution set is
{
}
Answer:
Hamburger Chicken
Adults 65 60 125
children 55 20 75
120 80 200
a)What is the probability that a randomly selected individual is an adult?
Total no. of adults = 125
Total no. of people 200
The probability that a randomly selected individual is an adult = 
b) What is the probability that a randomly selected individual is a child and prefers chicken?
No. of child prefers chicken = 20
The probability that a randomly selected individual is a child and prefers chicken= 
c)Given the person is a child, what is the probability that this child prefers a hamburger?
No. of children prefer hamburger = 55
No. of child = 75
The probability that this child prefers a hamburger= 
d) Assume we know that a person has ordered chicken, what is the probability that this individual is an adult?
No. of adults prefer chicken = 60
No. of total people like chicken = 80
A person has ordered chicken, the probability that this individual is an adult= 
Answer:
6 1/5
Step-by-step explanation: