Answer:
It would be 20
Step-by-step explanation:
because 5x+20 = 5x + <u> </u>
it would have to be 20
to have 1 solution
To get an answer which is....45
Answer: the service charge per hour for premium services is $5.5
the service charge per hour for regular services is $3
Step-by-step explanation:
Let x represent the service charge per hour for premium services.
Let y represent the service charge per hour for regular services.
One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that
2x + 9y = 38- - - - - - - - - - - 1
Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that
3x + 6y = 34.5- - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes
6x + 27y = 114
6x + 12y = 69
Subtracting, it becomes
15y = 45
y = 45/15
y = 3
Substituting y = 3 into equation 1, it becomes
2x + 9 × 3 = 38
2x + 27 = 38
2x = 38 - 27 = 11
x = 11/2 = 5.5
The answer is b. 11.
You can find this by multiplying the two parenthesis together. In order to do this, you can use a multiplying process known as FOIL (First, Outer, Inner, Last), where you multiply parts of the parenthesis in this order to make sure you do so properly.
First Numbers:
2x * x = 2x^2
Outer Numbers:
2x * 6 = 12x
Inner Numbers:
-1 * x = -1x
Last Numbers:
-1*6 = -6
Now place them all in that order and simplify.
2x^2 + 12x - x - 6 ---> simplify x terms
2x^2 + 11x - 6
Since the middle term (the one with the x value) has a coefficient of 11, that gives us a b value of 11.
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.
