Start by setting the function equal to 0 and then moving the -5.4 over to the other side of the equals sign.

. The first rule for completing the square is that the leading coefficient be a +1. Ours is a -.2. So we need to factor it out.

. Now we will take half the linear term, square it, and add it to both sides. Our linear term is 14. Half of 14 is 7, and 7 squared is 49. So we add 49 in to the left side just fine, but we cannot forget about that -.2 hanging around out front as a multiplier. What we have actually "added" in is -.2*49 which is -9.8. Now here's what we have after all that:

. In that process, we have created a perfect square binomial on the left. Along with expressing that binomial we will do the math on the right:

. Now we will move the -4.4 back over by addition, and it will then be apparent as to what our vertex is. The y coordinate of the vertex will give us the max height of the water.

. As you can see, our work matches choice C from above.
Answer:
a. True
Step-by-step explanation:
By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.
In the given question the null hypothesis is
H0: u ≤ 1 hour and Ha: u > 1 hour
So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.
The given statement is true.
Answer:
The slope of the line = m = -9/5
Step-by-step explanation:
Given the points
Determining the slope between (-2, 4) and (3, -5)
(x₁, y₁) = (-2, 4)
(x₂, y₂) = (3, -5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-5 - 4] / [3 - (-2)]
= [-9] / [3 + 2]
= -9/5
Thus, the slope of the line = m = -9/5
Answer: 53.40
Step-by-step explanation:
Tax = 7% of 43.45 = 3.04
Tip = 15% of (3.04 + 43.45) = 6.91
Total = 43.45 + 3.04 + 6.91