Y = -3x - 1......so we sub in -3x - 1 in for y in the other equation
2x + 5y = 12
2x + 5(-3x - 1) = 12....now distribute the 5 through the parenthesis
2x - 15x - 5 = 12...add 5 to both sides
2x - 15x = 12 + 5..combine like terms
-13x = 17...divide both sides by -13
x = -17/13
now sub in -17/13 for x in the other equation
y = -3x - 1
y = -3(-17/13) - 1
y = 51/13 - 1
y = 51/13 - 13/13
y = 38/13
so the solution is (-17/13, 38/13)
Answer: 4
Explanation:
You can write an algebraic expression to represent the sequence with the books in this way:
- yesterday she got five books: 5
- today returned three books: - 3
- how many books did Gia have to begin: n
- At the end she has six books, which means that you can set an equality:
n + 5 - 3 = 6
Now you follow these steps to clear the unknown:
- do the operations in the left side: n + 2 = 6
- use subtraction property of equality: n = 6 - 2
- do the operations: n = 4
And that is the number of books whith which Gina started: 4
The answer is 1 3/9. The reason is because it repeats 3 so it would be 9 at the bottom.
Answer:
0.54,0.46,0.43
Step-by-step explanation:
Given that India is the second most populous country in the world, with a population of over 1 billion people.
The pdf of household size say X in India varies from 1 to 8.
The distribution is shown as follows
X 1 2 3 4 5 6 7 8 Total
P 0.02 0.09 0.18 0.25 0.20 0.12 0.08 0.06 1.00
a) the probability that there are less than 5 members in a household in India
=
=
b. the probability that there are 5 or more members in a typical household
in India
=
c) the probability that the number of members in a typical household in India is strictly between 2 and 5
