Answer:
The equation representing how old Monique son is 
Step-by-step explanation:
From the given information:
A linear function can be used to represent the constant growth rate of Monique Son.
i.e.

where;
= initial height of Monique's son
= growth rate (in)
t = time
So, the average boy grows approximately 2 5/8 inches in a year.
i.e.


Then; from the equation 


The height of the son as a function of the age can now be expressed as:

Then:
Making t the subject;


and the age of the son i.e. ( a (in years)) is:
a = 2 + t
So;

SO;
if q (growth rate) = 50 inches tall
Then;


a = 2 + 6.095
a = 8.095 years
a ≅ 8 years
i.e.
Monique son will be 8 years at the time Monique is 50 inches tall.
Answer:
dT/dt = k(T-75)
Step-by-step explanation:
dT/dt = the rate of change of the egg's temperature T with respect to time t
k = constant
(T-75) = difference between the egg's temperature and the room temperature 75 degree
See attachment for the graph of the set (1, ∞) ∩ (−10, ∞)
<h3>How to graph the set on a number line?</h3>
The set is given as:
(1, ∞) ∩ (−10, ∞)
The above means that the numbers inclusive in the set are numbers between the following set:
- (1, ∞): All real numbers greater than 1
- (−10, ∞): All real numbers greater than -10
The intersection of the above set is (1, ∞)
This means that the set (1, ∞) ∩ (−10, ∞) is a set of all real numbers greater than 1
Having done the above illustration, next we plot the set on a number line
See attachment for the graph of the set (1, ∞) ∩ (−10, ∞)
Read more about number lines at:
brainly.com/question/24644930
#SPJ1
Step-by-step explanation:
x = 21/4 fraction form and alternative form is 5 1/4