Answer:
We have the function:
r = -3 + 4*cos(θ)
And we want to find the value of θ where we have the maximum value of r.
For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.
We know that the meaximum value of the cosine is 1, and it happens when:
θ = 2n*pi, for any integer value of n.
Then the answer is θ = 2n*pi, in this point we have:
r = -3 + 4*cos (2n*pi) = -3 + 4 = 1
The maximum value of r is 7
(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)
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>
What am i supposed to help with, can you show me?
G (x) = |x + 10| (if you mean horizontal translation to the left)
or g (x) = | x | + 10 (vertical translation 10 units up)