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Known :
f(x) = -3x - 5
g(x) = 4x - 2
Asked :
(f+g)(x) = ...?
Answer :
(f+g)(x) = (-3x - 5) + (4x - 2)
= (-3x + 4x) + (-5 - 2)
= x + (-7)
= <u>x </u><u>-</u><u> </u><u>7</u>
So, the value of (f+g)(x) is x - 7
<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
The Height of the ceiling at the center is 57.6628 feet
In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base.
It has two focal points. The sum of the two distances to the focal point, for all the points in curve, is always constant.
The General form of ellipse is 
According to the question,
Length of whispering gallery is 130 feet
The foci are located 30feet from the center (0,0)
So, 2a = 130
=> a = 130/2
=> a = 65
and c = 30
As we know ,
=> c² = a² - b²
=> (30)² = (65)² - b²
=> 900 = 4225 - b²
=> b² = 4225 - 900
=> b² = 3325
=> b = 57.7 feet
Therefore , the height of the ceiling at the center is 57.6628 feet
To know more about Ellipse here
brainly.com/question/19507943
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Slope for (x₁, y₁) and (x₂, y₂): (6, 2) and (7, 4)
Slope: (y₂ -y₁) / (x₂ -x₁)
Slope: ( 4 - 2) / (7 - 6) = 2/1
<span>Slope = 2/1 = 2
Option D</span>
Answer:
The total cost of producing 91 units of ACME rocket fuel is $3999.99.
Step-by-step explanation:
The Marginal Cost is given by the following function

The total cost function is the integrative of the marginal cost function. So:



In which K, the integrative constant, is the fixed cost. So
.
1. Find the total cost of producing 91 units of ACME rocket fuel.
This is TC(91).
So

The total cost of producing 91 units of ACME rocket fuel is $3999.99.