Answer:
Correct answer is third from the top an = 27 · (1/3)∧(n-1)
Step-by-step explanation:
Given geometric sequence : 27, 9, 3, 1,....
First term a1= 27, second term a2= 9, third term a3= 3 etc...
Standard form of the n-th term is
an = a1 · q∧(n-1)
We will find quotient when we divide second term with first and third with second
q = a2/a1 = a3/a2 = 9/27 = 3/9 = 1/3
Formula fot n-th term is
an = 27 · (1/3)∧(n-1)
God with you!!!
Answer:
See below.
Step-by-step explanation:
Find two points on the graph that are easy to read.
Start at one point. You must now go to the other point, but you can only move vertically (up and down) and horizontally (right and left.)
Move vertically toward the other point. Count the number of units you moved. Up is positive, and down is negative. This is the rise.
Now move horizontally to the second point and count the units. Right is positive and left is negative. This is the run.
slope = rise/run
Answer:

Step-by-step explanation:

"To make x the subject" means to have the equation with all the terms in x on one side. As of now, y is the subject of the equation.
You start by subtracting 2 from both sides, you should get the following.

Then you multiply by 2 from both sides, you should end up with the following.

Therefore, you get the following.

Finally, you distribute and get the answer.

Answer:
5 1/3 + 9 2/3
Step-by-step explanation:
A number minus a negative number will be the same thing as addition
Answer:
{x,y} = {6/5,23/10}
Step-by-step explanation:
[1] 7x + 2y = 13
[2] 4x + 4y = 14 <---------- linear equations given
Graphic Representation of the Equations : PICTURE
2y + 7x = 13 4y + 4x = 14
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 4y = -4x + 14
[2] y = -x + 7/2
// Plug this in for variable y in equation [1]
[1] 7x + 2•(-x +7/2) = 13
[1] 5x = 6
// Solve equation [1] for the variable x
[1] 5x = 6
[1] x = 6/5
// By now we know this much :
x = 6/5
y = -x+7/2
// Use the x value to solve for y
y = -(6/5)+7/2 = 23/10
// Plug this in for variable y in equation [1]
[1] 7x + 2•(-x +7/2) = 13
[1] 5x = 6
// Solve equation [1] for the variable x
[1] 5x = 6
[1] x = 6/5
// By now we know this much :
x = 6/5
y = -x+7/2
// Use the x value to solve for y
y = -(6/5)+7/2 = 23/10