Answer:
b
Step-by-step explanation:
Answer:
The series 1/5, 2/15, 4/45, 8/135... converges and sums up to 3/5
Step-by-step explanation:
Consider the infinite geometric series
1/5, 2/15, 4/45, 8/135...
With first term, a=1/5
common ratio, r = ⅔
The series converge because the common ratio, |r|<1.
The sum to infinity of a geometric series, S= a/(1-r)
S= 1/5 ÷ (1-⅔) = 1/5 ÷ 1/3 = 3/5
Therefore, the geometric series 1/5, 2/15, 4/45, 8/135... sums up to 3/5.
PROBLEM ONE
•
Solving for x in 2x + 5y > -1.
•
Step 1 ) Subtract 5y from both sides.
2x + 5y > -1
2x + 5y - 5y > -1 - 5y
2x > -1 - 5y
Step 2 ) Divide both sides by 2.
2x > -1 - 5y
So, the solution for x in 2x + 5y > -1 is...
•
Solving for y in 2x + 5y > -1.
•
Step 1 ) Subtract 2x from both sides.
2x + 5y > -1
2x - 2x + 5y > -1 - 2x
5y > -1 - 1x
Step 2 ) Divide both sides by 5.
5y > -1 - 1x
So, the solution for y in 2x + 5y > -1 is...
•
PROBLEM TWO
•
Solving for x in 4x - 3 < -3.
•
Step 1 ) Subtract 3 from both sides.
4x - 3 < -3
4x -3 - 3 < -3 - 3
4x < 0
Step 2 ) Divide both sides by x.
4x < 0
x < 0
So, the solution for x in 4x - 3 < -3 is...
x < 0
•
•
- <em>Marlon Nunez</em>
The slope is 2 and the equation of the line is y = mx+b with m =2
Then the equation becomes: y = 2x+b. How to calculate b?
Since this line passes through the point (-3 , 4), we replace x with -3 and y=4
4= 2.(-3) + b
4 = - 6 + b
and b= 10. The final equation is : y = 2x + 10 (answer a)
Answer:
y=2x+4
Step-by-step explanation:
.