Answer:
Step-by-step explanation:
<u>Arithmetic Sequences</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:
Answer:
- 21 of multiple choice and 17 of short answer questions
Step-by-step explanation:
- Multiple choice = m
- Short answer = s
<u>Equations:</u>
<u>Solve for s by eliminating m. Subtract the double of the first equation from the second one:</u>
- 2m + 3s - 2(m + s) = 93 - 2(38)
- 3s - 2s = 93 - 76
- s = 17
<u>Find the value of m:</u>
Answer would be 0 because whatever you get when you plug in g&h in the equation you have to multiply that by 0. And a number multiplied by 0 is always 0.
Hope this helped. Have a great day!
Answer:
A. 693
Step-by-step explanation:
The question is asking you to input 7 into both functions and then multiply them together.
First insert 7 into f(x) = 7 + 2x, 7 times 2 is 14, plus 7 = 21
do the same with g(x) = 5x - 2, 5 times 7 is 35, minus 2 = 33
fg(7) is saying to multiply fg together as a variable next to another variable does. leaving the answer as 693.
