Answer:
10 months. Each plan will save 800 dollars.
Step-by-step explanation:
500 + 30x = y
300 + 50x = y
You want the months to give the same amount of money. The x has to be the same for both
500 + 30x = 300 + 50x Subtract 300 from both sides
500 - 300 + 30x = 50x Combine
200 + 30x = 50x Subtract 30x from both sides
200 = 50x - 30x Combine
200 = 20x Divide by 20
x = 10
So in 10 months time the amounts will be the same. How much will there be?
500 + 30*10 = 500 + 300 = 800
300 + 50*10 = 300 + 500 = 800
Answer:
500π in^3
Step-by-step explanation:
The radius is half the diameter, so the radius is 5 in. Since the height is four times that, the height is 20 in.
The equation for the volume of a cylinder is:
We can plug in the radius and height:
Is this a relation: {(-2,1), (0,0), (0,1), (1,-2), (1,0), (1,3), (2,0)}? Explain why or why not.
tatiyna
It is a relation because any relation is simply a set of (x,y) values known as points or ordered pairs. There are no other qualifications needed to be a relation. We simply pair up any x and y value we want.
I think you meant to ask if it's a function or not. If so, then the answer is "no, it is not a function". Why not? Because the x value x = 0 produces more than one y output y = 1 and y = -2. Graph these points and you'll see them fail the vertical line test (ie its possible to draw a vertical line through more than one point on the graph). The same issue happens with (1,-2), (1,0) and (1,3) as well.
In summary:
Yes it is a relation
No it is not a function
The reasoning for each is stated above
Answer:
f(-3) = 16
Step-by-step explanation:
You substitute -3 to x.
f(-3) = 2(-3)² - 5(-3) - 17
f(-3) = 16.
As for the coordinates, the coordinates plotted in the graph above are (1,-1) and (2,-2).
Answer:
x=-48
Step-by-step explanation:
Add 4 to both sides and then multiply both sides by 3.
