Answer:
93+(68+7)= 168
Step-by-step explanation:
You have to answer the problem in the parenthesis and then add 93.
We have that
![y=- x^{2} +36](https://tex.z-dn.net/?f=y%3D-%20x%5E%7B2%7D%20%2B36)
we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum
step 1
convert the equation of the parabola in the vertex form
![y=- x^{2} +36 \\ y-36=- x^{2}](https://tex.z-dn.net/?f=y%3D-%20x%5E%7B2%7D%20%2B36%20%5C%5C%20y-36%3D-%20x%5E%7B2%7D%20)
the vertex (h,k) is the point (0,36)
Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)
Part b) The points on the graph where the height of the tunnel is zero feet is when y=0
so
for y=0
![- x^{2} +36=0 \\ x^{2} =36 \\ x= (+/-) 6](https://tex.z-dn.net/?f=-%20x%5E%7B2%7D%20%2B36%3D0%20%5C%5C%20x%5E%7B2%7D%20%3D36%20%5C%5C%20x%3D%20%28%2B%2F-%29%206)
the points are (-6,0) and (6,0)
see the attached figure
Given:
(x₁,y₁) = (-2,4)
(x₂,y₂) = (0,2)
Determine the slope of the function
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 4) / (0 + 2)
m = -2/2
m = -1
Determine the equation
y - y₁ = m(x - x₁)
y - 4 = -1(x - (-2))
y - 4 = -1 (x + 2)
y - 4 = -x - 2
y = -x - 2 + 4
y = -x + 2
f(x) = -x + 2
The correct answer is first option
You could try multiplying each side of the equation by -6 .
Try that and let us know how it works out for you.
DrH = DrT + 0.019
DrE = DrH - 0.020
DrH is the most and DrE is the least