Answer: a) x = 5 or -1 b) x = √3+2
c) x = -1/2 or -3/2
Step-by-step explanation:
a) (x − 2)² = 9
First step is to take the square root of both sides to eliminate the square
√ (x − 2)² = √9
x-2 = +-3
x = +3+2
x = 5 and;
x = -3+2
x = -1
x = 5 or -1
b) 3(x-2)² = 9
First we divide both sides by 3 to get;
(x-2)² = 9/3
(x-2)² = 3
Second step is to take the square root of both sides to eliminate the square
√(x-2)² = √3
x-2 = √3
x = √3+2
c) 6 = 24(x+1)²
Dividing both sides by 24, we have
6/24 = (x+1)²
1/4 = (x+1)²
Taking the square root of both sides we have
√1/4 = √(x+1)²
= +-1/2 = x+1
x = +1/2-1 = -1/2 and;
x = -1/2-1 = -3/2
x = -1/2 or -3/2
Answer:
None
Step-by-step explanation:
They are the same number
Answer: D.
Step-by-step explanation: If you look closely, putting a 100 wouldn't make sense
Answer:
I thinks it’s 7x + 5
Step-by-step explanation:
The probability that a randomly selected professor is female and feels "About Right" is 0.40
The distribution table :
____About right _ Oweight _ Uweight __ Total
Female _ 80 _____ 39 ______ 3 _______ 122
Male ___ 52 _____ 10 ______ 16 _______ 88
Total ___ 132 ____ 49 ______ 19 _______ 200
Oweight = Overweight
Uweight = Underweight
Recall :
Probability = required outcome / Total possible outcomes
Probability that a selected professor is female and feels 'About right' :
Required outcome = number of female professors who feels 'About right' = 80
Total number of professors = 200
Hence,
P(Female and 'About right') = 80/200 = 0.40
Learn more : brainly.com/question/11234923
