1) (x,y) = no solution
2) x=-2y
-2y-y = 9
-3y = 9
y = -3
x = -2(-3)
x = 6
(x,y) = (6,-3)
Answers:
<u>Reduce:</u>
Here we gave to simplify the expressions:
9)
Grouping similar terms:
Applying common factor in the first parenthesis and common factor in the second parenthesis:
This is the answer
11)
Rearranging the terms:
Applying common factor in the first parenthesis and common factor in the second parenthesis:
This is the answer
<u>Multiply:</u>
19)
Multiplying both fractions:
Dividing numerator and denominator by 3 and simplifying:
This is the answer
21)
Operating with cross product:
Grouping similar terms and factoring:
This is the answer
<u>Divide:</u>
29)
Simplifying:
This is the answer
33)
Factoring numerator and denominator:
Simplifying:
This is the answer
37)
Applying the distributive property in numerator and denominator:
Grouping similar terms and factoring by common factor:
Dividing by in numerator and denominator and simplifying:
This is the answer
If exactly one woman is to sit in one of the first 5 seats, then it means that 4 men completes the first 5 seats.
No of ways 4 men can be selected from 6 men = 6C4 = 15
No of ways 4 men can sit on 5 seats = 5P4 = 120
No of ways 1 woman can be selected fom 8 women = 8C1 = 8
No of ways 1 woman can sit on 5 seats = 5P1 = 5
No of ways <span>that exactly one woman is in one of the first 5 seats = 15 * 120 * 8 * 5 = 72,000
No of ways 14 people can be arranged in 14 seats = 14!
Probability that exactly one woman is in one of the first 5 seats = 72,000 / 14! = 0.0000008259 = 0.000083%
</span>
Answer:
10 ≤ x - 4
Step-by-step explanation:
Answer:
96
Step-by-step explanation: