Answer: No, it fails the vertical line test.
Step-by-step explanation:
First, let x be the number of hours it will take for Hector to finish the same job alone. This means that every hour, Hector can do 1/x of the job. The amount of work done by Shawn and Hector in 6 hours should be equal to 1 complete work. This can be expressed as,
(1/9 + 1/x)(6) = 1
The value of x is 18. Thus, Hector can to 1/18 of the job in one hour.
Answer:
slope of M'N' = 1
Explanation:
First, we will need to get the coordinates of points M' and N':
We are given that the dilation factor (k) is 0.8
Therefore:
For point M':
x coordinate of M' = k * x coordinate of M
x coordinate of M' = 0.8 * 2 = 1.6
y coordinate of M' = k * y coordinate of M
y coordinate of M' = 0.8 * 4 = 3.2
Therefore, coordinates of M' are (1.6 , 3.2)
For point N':
x coordinate of N' = k * x coordinate of N
x coordinate of N' = 0.8 * 3 = 2.4
y coordinate of N' = k * y coordinate of N
y coordinate of N' = 0.8 * 5 = 4
Therefore, coordinates of M' are (2.4 , 4)
Then, we can get the slope of M'N':
slope = (y2-y1) / (x2-x1)
For M'N':
slope = (3.2-4) / (1.6-2.4)
slope = 1
Hope this helps :)
Answer:
f(2) = 0
Step-by-step explanation:
Function f(t) is defined in three different ways depending on the value of t.
For t = 8, function f(t) is -64/t.
For t = 10, function f(t) is 14 - t.
We are not asked about f(8) or f(10). We are asked about f(2). The third definition of function f(t) is for all values of t that are not 8 or 10. 2 is not 8 or 10, so use the third definition of function f(t) and plug in 2 for t.
f(t) = t^2 - 3t + 2 for t not equal to 8 or 10.
f(2) = 2^2 - 3(2) + 2
f(2) = 4 - 6 + 2
f(2) = 0
The thing that is required for a <span>proportional relationship would be that no matter what the order of the relationship is, it should be that if the function of x increases then x would increases as well or vice versa. Hope this helps. Have a nice day. Feel free to ask more questions. </span>
