See photos for solutions and steps :)
Answer:
(5, - 4 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = - 2 → (1)
3x - y = 19 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the y- term
9x - 3y = 57 → (3)
Add (1) and (3) term by term to eliminate y
(2x + 9x) + (3y - 3y) = (- 2 + 57), that is
11x = 55 ( divide both sides by 5 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (1)
2(5) + 3y = - 2
10 + 3y = - 2 ( subtract 10 from both sides )
3y = - 12 ( divide both sides by 3 )
y = - 4
Solution is (5, - 4 )
Answer:20+10
Step-by-step explanation:It is 20 plus 10 because 6 times 5 is 30 and so is 20 plus 10.
How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed?
sveta [45]
There are 6 digits. Each digit can take ten different numbers except for the first digit since it cannot be zero.
So:
9 x 10 x 10 x 10 x 10 x 10
900000 numbers.
Another way of thinking about this is to just count up to 999,999. Obviously there are 999,999 different numbers here. But since our number has to have 6 digits in them, we have to delete 99,999 numbers. Thus there are 900,000 different numbers.
Answer:
Population of the 48th generation will be 4469.
Step-by-step explanation:
Recursive formula by which the population is increasing,
L₀ = 4
Common difference 'd' = 95
Recursive formula represents a linear growth in the population.
Therefore, explicit formula for the given sequence will be,
= L₀ + (n - 1)d [Explicit formula of an Arithmetic sequence]
Here n = Number of terms
L₄₈ = L₀ + (48 - 1)(95)
= 4 + 4465
= 4469
Therefore, population of the 48th generation will be 4469.
