
bearing in mind that, the geometric sequence is "convergent" only when |r|<1, or namely "r" is a fraction between 0 and 1.
Too add mixed numbers, first convert them to improper fractions:
34/5 + 53/10
Next, find a common denominator, which in this case is 10.
Convert 34/5 so that it has a denominator of 10 by multiplying the ENTIRE fraction by 2: 68/10
68/10 + 53/10 = 121/10
You can either give your answer in the form of an improper fraction: 121/10, or a mixed number 12 1/10
Answer: OPTION A
Step-by-step explanation:
The equation of the line in slope-intercept form is:

Where m is the slope and b the y-intercept.
Solve for y from each equation:

As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.
Answer:
(8,21)
Step-by-step explanation:
Since both equations equal y, set both equaitions equal to each other
and solve for x
4x-11=x+13 , subtract x from both sides
3x-11=13, add eleven to both sides
3x=24, divide both sides by 3 to get x alone
x=8
Substitute x=8 into either equation to solve for y
y=4(8)-11
y=32-11
y=21