Answer:
The equation for a is 
The altitute is 101,428.57 feet
Step-by-step explanation:
You know that the relationship between ground temperature and atmospheric temperature can be described by the formula
t = -0.0035a +g
where:
- t is the atmospheric temperature in degrees Fahrenheit
- a is the altitude, in feet, at which the atmospheric temperature is measured
- g is the ground temperature in degrees Fahrenheit.
Solving the equation for a:
-0.0035a +g=t
-0.0035a= t - g


<u><em>The equation for a is </em></u>
<u><em></em></u>
If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F
Replacing in the equation for a you get:


a= 101,428.57
<u><em>The altitute is 101,428.57 feet</em></u>
Answer: Graph shifts 4 units to the left
Explanation:
I'm assuming you meant to say y = |x+4|
If so, then the graph shifts 4 units to the left. Replacing x with x+4 moves the xy axis 4 units to the right if we held the V shape in place (since each x is now 4 units larger). This gives the illusion the V shape is moving 4 units to the left.
Or you could look at the vertex point to see how it moves. On y = |x|, the vertex is at (0,0). It then moves to (-4,0) when we go to y = |x+4|
The maximum number of nights he could stay is 4 nights
That would be the commutative property
Option (A) represents the function and its inverse of a function option (A) is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function and inverse of a function shown in the picture.
Checking for option (A):

Taking f(x):

To find the inverse of a function interchange the x and y variables:
f(x) → x
x → g(x)

Solving:
4x = g(x) + 10
g(x) = 4x - 10
Similarly, we can find the inverse of a function.
Thus, option (A) represents the function and its inverse of a function option (A) is correct.
Learn more about the function here:
brainly.com/question/5245372
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