Answer:
The interval of convergence is -1<x<1
Step-by-step explanation:
To find the interval of convergence of the series, we will use the condition for convergence of a series according to Ratio test.
The solution is as shown in the attachment.
Answer:
-12h^3-6h^2+12h
Step-by-step explanation:
-3h(4h^2+2h-4)
-12h^3-6h^2+12h
Given
Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.
The sandwich cost $7.75 and sales tax was $0.47.
Find out the cost of her drink
To proof
Let the cost of her drink be x.
As given in the question
Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.
Elysse paid for her sandwich and drink = 10 - 0.63
= $ 9.37
sandwich cost $7.75 and sales tax was $0.47
Than the equation becomes
x = 9.37 - (7.75 + 0.47)
x = 9.37 - 8.22
x = $ 1.15
The cost of the drink is $ 1.15.
Hence proved
Answer:
(-3,1), (3,-2), (1,5), (4,6)
Step-by-step explanation:
For finding and inverse of a relationship, you simply just need to swap the x and y values. So the x will go into the y value and the y value will go into the x value.
Find slope using the slope formula.
m=(y2-y1)/(x2-x1)
m=(-2-0)/(2+6)
m=-2/8
m= -1/4
Knowing y=mx+b, plug in m.
y=(-x/4)+b
Plug in a coordinate pair to find the b value. (Either works)
-2=(-2/4)+b
-2=-1/2+b
-2+1/2=b
-3/2=b
Plug in the b value to give the final equation.
y=(-x/4)-3/2
