Answer: The slope is 15/4.
Step-by-step explanation:
M = (y2 - y1)/(x2 - x1)
M = (5 - (-10))/(-1 - (-5))
M = (5 + 10)/(-1 + 5)
M = 15/4
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:
Step-by-step explanation:
The coefficients of x on each side of the equal sign are different, so the equation is <em>not a tautology</em>. It must have exactly one solution.
When you take the absolute value of this equation, the answer should actually be 3.
You should solve the what’s inside first. If the answer is negative, then the absolute value will make it positive.
For example
|1-5|=|-4|=4
2 3/8 / 1 1/4
= 19/8 / 5/4
=19/8 * 4/5
= 19/10
answer is B 19/10
