In the table shown below:
Let N be the number of bottles filled,
Let T be the time in hours.
Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

Let's evaluate the value of k for each day.
Thus, on monday,

Tuesday:

Wednesday:

Thursday:

It is observed that all exept wednesday have the same value of k.
Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.
Answer:
A) 
B) 
C) 
Step-by-step explanation:
So we have the equation:

Let's write this in function notation. Thus:

A)
To flip a function over the x-axis, multiply the function by -1. Thus:

Simplify:

B) To flip a function over the y-axis, change the variable x to -x. Thus:

Simplify:

C) A reflection over the line y=x is synonymous with finding the inverse of the function.
To find the inverse, switch x and f(x) and solve for f(x):

Switch:

Subtract 4 from both sides:

Divide both sides by 5:

And we're done :)
Answer:
(-2, 4)
Step-by-step explanation:
~When reflecting a point of the x-axis, the x value (or first number inside the parenthesis) does not change.
The reason the x-value does not change is because you are reflecting over the x-axis, making the point go up or down. That will change the y-value but the x-value only changes if you move to the left or the right. In this case, you can see that the point's x-value is -2, so that will not change. It's current y-value however is -4. When reflecting over an axis, the number that is changing (in this case the y-value) will just be flipped from positive to negative, or vise versa. In this case, -4 will be reflected to be 4, making point C reflected over the x-axis (-2, 4).
Answer:
Perpendicular bisector
Step-by-step explanation:
The construction is of a perpendicular bisector, because the line in bisected and the angle formed by the bisector is a right angle.