2x + y = 8
x - y = 10
--------------add
3x = 18
x = 6
x - y = 10
6 - y = 10
-y = 10 - 6
-y = 4
y = -4
solution is : (6,-4)
Answer:
The first one is x=-y-2z-7
The second one is x=-1/3y + 1/3z + -4/3
The third one is x= 3y + 2z + 17
Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
Answer: 16.6% percent chance she will pull out a blue or orange marker.
Hope this helps! :)
