Answer:
The radius of convergence is half of the length of the interval of convergence. If the radius of convergence is R then the interval of convergence will include the open interval: (a − R, a + R). To find the radius of convergence, R, you use the Ratio Test.
Given :
Miki has 104 nickels and 88 dimes.
She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes.
To Find :
Largest number of groups she can have .
Solution :
In the given question we need to find the largest number of groups she can have i.e we have to find the LCM of 104 and 88 .
Now , factorizing both of them , we get :
Form above , we can say that common factors are :
Therefore , the largest number of groups she can have is 8 .
Hence , this is the required solution .
Answer:
1. X = 17/A --- answer is (A)
2. (6, 0.7) (10, 1.9)
3. $10.99D + $9.99 ≤ $100
Step-by-step explanation:
1. AX + 4AX = 51 + 2AX
5AX = 51 + 2AX .... -2AX both side
3AX = 51 .. divide 3A
X = 17/A --- answer is (A)
2. 10y = 3x -11
(2, 0.5): 3*2 -11 = - 5 10y = 10*0.5 = 5 ..... not correct
(4, 1) 3*4 - 11 = 1 10y = 10*1 = 10 ....... not correct
(6, 0.7) 3*6 - 11 = 7 10y = 10*0.7 = 7 .....Correct
(8,2.3) 3*8 -11 = 13 10y = 10*2.3 =23 ..... not correct
(10, 1.9) 3*10 -11 = 19 10y = 10*1.9 = 19 .... correct
3. 1D cost $10.99
D piece cost: $10.99D
Shipping: $9.99
No more than $100: ≤ 100
D piece DVD + Shipping withtotal no more than $100:
$10.99D + $9.99 ≤ $100
