Answer:
See below
Step-by-step explanation:
Here we have a function
such that
and 
The sequence is denoted as
such that 
For this sequence, we would have

But sure it seems to follow

The answer is D). It increases by 13.
If you put the numbers in order from least to greatest.. 26,34,38,49,65,75,81
You will see the 26 is the smallest number and 81 in the highest number. The range between the two numbers is 55. To find the range you take the smallest number and subtract it from the biggest number. But when you add the number 13 to the problem then26 is no longer the smallest Number because 13 replaced it. So then you take 81 and subtract 13 from it and get 68. And then you take 55 and subtract it from 68 and come with 13. Which makes the answer D.
The two unknown variable in the two given equations are "x" and "y".
3y + 3x = 24
Dividing both sides by 3 we get
y + x = 8
x = 8 - y
Putting the value of y in the second equation we get
6y + 3x = 39
Dividing both sides by 3 we get
2y + x = 13
2y + 8 - y = 13
y = 13 - 8
= 5
Putting the value of y in the first equation we get
y + x = 8
5 + x = 8
x = 8 - 5
x = 3
So the value of x is 3 and the value of y is 5. I hope the procedure is clear enough for you to understand.
Answer:






Step-by-step explanation:
step 1
Find the value of x
we know that
----> by alternate interior angles
solve for x
Group terms


step 2
Find the measure of angle a
we know that
----> by vertical angles
substitute the value of x

step 3
Find the measure of angle b
we know that
----> by supplementary angles (form a linear pair)
we have

substitute


step 4
Find the measure of angle c
we know that
----> by vertical angles
we have

therefore

step 5
Find the measure of angle d
we know that
----> by corresponding angles
we have

therefore

step 6
Find the measure of angle e
we know that
----> by alternate exterior angles
we have

therefore

step 7
Find the measure of angle f
we know that
----> by vertical angles
we have

therefore

Answer: <u><em>188 pairs of rabbits would be produced after fourteen months</em></u>
<u><em></em></u>
Given: Newborn rabbits become adults in one month.
Each pair of adult rabbits produces one pair each month.
No rabbits die.
The Fibonacci sequence can be written as :
= 0 1 1 2 3 5 8 13 21 34 ..........................
This series can be further written as:
= 
Therefore for n = 14;
<u><em>
= 377</em></u>