Jeanine is twice as old as her brother Marc. If the sum of their ages is 24. How old is Jeanine?
1 answer:
You might be interested in
Answer:
see explanation
Step-by-step explanation:
(a)
A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.
Here d = - 4 , then recursive formula is
=
- 4 with a₁ = 2
(b)
The explicit formula for an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 4, thus
= 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula
(c)
Using the recursive formula
a₁ = 2
a₂ = 2 - 4 = - 2
a₃ = - 2 - 4 = - 6
Using the explicit formula
a₅ = 6 - 4(5) = 6 - 20 = - 14
a₁₀ = 6 - 4(10) = 6 - 40 = - 34
a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394
The equation of the line would be y=-2x+9
Answer:
Maria and Josie working together can complete the work in= 1 hour and 20 minutes
Step-by-step explanation:
Given:
Time taken by Maria to print and laminate signs = 4 hours
Time taken by Josie to print and laminate signs = 2 hours
Solution:
Rate of work done by Maria = per hour
Rate of work done by Josie = per hour
Let them work for hours together.
In hours work done by Maria =
In hours work done by Josie =
Total work done by both =
If they complete the work in hours, then we can write as:
Solving for
Multiplying both sides by
∴ hours = 1 hour and 20 minutes [As
of an hour =20 minutes.
So, Maria and Josie working together can complete the work in= 1 hour and 20 minutes
