Looks like your function is
Rewrite it as
Recall that for 
, we have
If we replace 
with 
, we get
By the ratio test, the series converges if
Solving for gives the interval of convergence,
We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.
Answer:
35 hotdogs
Step-by-step explanation:
You are running a concession stand at a basketball game. You are selling hotdogs and sodas.
Let the number of hot dogs be represented by x
The number of soda be represented by y
You sold a total of 87 hotdogs and sodas combined
x + y = 87
x = 87 - y
Each hotdog cost $1.50 and each soda cost $0.50. At the end of the night you made a total of $78.50.
Hence we have the equation:
$1.50 × x + $0.50 × y = $78.50
1.50x + 0.50y = 78.50
Substitute 87 - y for x
1.50(87 - y) + 0.50y = 78.50
130.5 - 1.50y + 0.50y = 78.50
Collect like terms
- 1.50y + 0.50y = 78.50 - 130.50
-1.00y = -52
y = -52/-1
y = 52 sodas
How many hotdogs did you sell?
Using the equation:
x = 87 - y
x = 87 - 52
x = 35 hotdogs
Hence, you sold 35 hotdogs
Answer:
m∠5 = 67
m∠7 = 67
Step-by-step explanation:
m∠4 and m∠5 add up to 180 because they are same side interior angles.
180 - 113 = m∠5
m∠5 = 67
m∠5 = m∠7 because they are vertically opposite angles
hence, m∠7 = 67 degrees
Answer:
x=11
Step-by-step explanation:
Notice that the first diagram is similar with the second diagram with ratio 1:2
Ex: Side length of JK is 6 and NP being 12, 6:12→1:2
You can conclude that x:22 needs to follow the ratio of 1:2
Thus, x=11
