Answer:
B. 30x
D. x(45-15)
Step-by-step explanation:
The distributive property lets you factor out the common factor of x. The sum of coefficients can be simplified to a single coefficient.
45x -15x = x(45 -15) = 30x
Answer:
1. 10x^2 -4
2. 2a^5 + 5b
Step-by-step explanation:
1. Simplify 4(x^2 -1) to 4x^2 -4
then add that to 6x^2
2. 4a^5 - 2a^5 = 2a^5 and
4b+b = 5b
Answer:
d = 7
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Give a₁₀ = 67 and a₁ = 4 , then
a₁ + 9d = 67
4 + 9d = 67 ( subtract 4 from both sides )
9d = 63 ( divide both sides by 9 )
d = 7
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: The answer is A
Step-by-step explanation: Because 6*20= 120