To find explicit formulas, you need two things. The common difference and the first term.
For example, #18
The first term = -15
The common difference = -20 -(-15) = -20 + 15 = -5
y = A + B(n - 1)
A = our first term
B = our common difference
n = the term you want to find in the sequence.
Leta plug our numbers in from #18
y = -15 + -5(n - 1)
Let's find the 4th term in the sequence.
y = -15 + -5(4 - 1)
y = -15 + -5(3)
y = -15 + -15
y = -30
Answer:
B. 5
Step-by-step explanation:
We have been given that R varies directly with S. When S is 16, R is 80. We are asked to find constant of variation.
We know that two directly proportional quantities are in form
, where,
k = Constant of variation.
Upon substituting our given values, we will get:




Therefore, the constant of variation is 5 and option B is the correct choice.
Question: As their financial advisor, what part of Kyle and Linda's financial plan would you encourage them to work on and why?
ANSWER:
Their plan for protecting their assets.
They should have life insurance on Linda.
Answer:
The smaller angle is 35 and the larger one is 145.
Step-by-step explanation:
In order to find this, we need to express the larger angle in terms of the smaller angle (x).
4x + 5 = large angle.
Now that we have this, we can add them together and set equal to 180.
x + (4x + 5) = 180
5x + 5 = 180
5x = 175
x = 35
Now that we have the value of the smaller angle, we can plug in to get the larger angle.
y = 4x + 5
y = 4(35) + 5
y = 140 + 5
y = 145