The nth term is 6n^2-11n+16
Hi there Mary Dominguez, So what a vertical line test down is to find out if a particular graph is a function or not. What you do is take a vertical strait line and move it right to left or left to right, depending on your preference, along the X axis. The reason this works is a function can not have an x that has 2 different y values. If we use the vertical line test on a graph with say a graph that has (2,3) and (2,4) we can use the vertical line test and see that the line hits 2 points at once which means its not a function :)
Answer: He cannot see a ship that is 4.5 miles away.
Step-by-step explanation:
Since we have given that
Here, h is the eye level above the water
d is the distance away.
If h = 12 feet
We will get :
Hence, it is 10.39 feet away when eye level is 12 feet above the water.
Therefore , he cannot see a ship that is 4.5 miles away.
Answer: In the beginning he was given 27 sweets.
Step-by-step explanation: The most logical thing to do is to solve it backwards, that is, from what he had at the end of the third day up till the beginning of the first day.
On the third day he ate one-third and had 8 sweets left over. To determine how many he started with on the third day, let the total on day three be called a. If one-third of a is eaten, then the left over which is two-thirds is 8. That is;
8/a = 2/3
By cross multiplication we now have
8 x 3 = 2a
24/2 = a
a = 12
Let the number of sweets he had on day two be called b. If he ate one-third of b and he had 12 left over, then the two-thirds left over is 12 and we now have;
12/b = 2/3
By cross multiplication we now have
12 x 3 = 2b
36 = 2b
36/2 = b
b = 18
Let the number of sweets he had on day one be called x. If he ate one-third of x and he had 18 left over, then the two-thirds left over is 18, and we now have;
18/x = 2/3
By cross multiplication we now have
18 x 3 = 2x
54 = 2x
x = 27
Therefore Tim was given 27 sweets at the beginning.
Answer:
Mr. Smith collects $5748 from selling the can.
Step-by-step explanation:
Given total number of cans = 
Selling price of one can = $15.
Now remaining number of cans = total number of cans - sold number of cans =
For remaining number of cans he gives a discount of 20% each,
∴ Selling price of one can = 
∴ Selling price of 54 cans = 
So total money he earns = 
.
Thus Mr. Smith earns $5748 by selling the cans.
