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Agata [3.3K]
3 years ago
6

Last homework for mathematics, mr Thompson!

Mathematics
1 answer:
Flura [38]3 years ago
6 0

Answers:

  1. Have a common difference
  2. Have a common factor
  3. Have a linear first difference

============================================================

Explanation:

Linear functions, such as y = 2x+5, have a common difference. In that example, the common difference would be 2 since we add 2 to each term to get the next one. Consider when x = 1 and that leads to y = 7. Then when x = 2, we have y = 9. Then when x = 3, we have y = 11, and so on. The sequence of y values {7,9,11,...} shows we add 2 each time.

------------------

Exponential functions have us multiply the previous term by some common factor to get the next term. A sequence like {2,6,18,...} has us multiply by 3 each time and the exponential function modeling this sequence is y = 2(3)^(x-1) where x is a natural number. So this is an example showing that exponential functions have a common factor, or we can call this a common ratio.

------------------

Quadratic functions are a bit strange.

Let's consider the quadratic of y = x^2. The sequence of y values it generates is {1,4,9,16,25...} for positive integers x = 1, 2, 3, 4, 5....

Let's subtract the adjacent terms (larger - smaller)

  • 4-1 = 3
  • 9-4 = 5
  • 16-9 = 7
  • 25-16 = 9

Note the results of 3,5,7,9 are in a linear sequence (we're adding 2 to each increment value, so the next increment would be +11). We can consider this a linear first difference.

------------------

For any of these functions, I'm restricting x to be an integer and x = 1 is the smallest input possible.

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Is the sequence below is arithmetic {1, 8, 27,64}
Rzqust [24]

Answer:

No

Step-by-step explanation:

No, because 8 - 1 ≠ 27 - 8. So, there is no common difference which is needed in order for the sequence to be arithmetic

6 0
3 years ago
According to the ratio of the age, if Rs. 216 is divided to the girls of age 8, 9 ad 10 yearsHow much money will each get ​
SSSSS [86.1K]

9514 1404 393

Answer:

  • 8 years: Rs. 64
  • 9 years: Rs. 72
  • 10 years: Rs. 80

Step-by-step explanation:

The sum of ages is 8+9+10 = 27, so each year of age is rewarded by ...

  216/27 = 8 . . . Rs

Then age 8 gets 8(Rs. 8) = Rs. 64

  age 9 gets 9(Rs. 8) = Rs. 72

  age 10 gets 10(Rs. 8) = Rs. 80

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2 years ago
7 + 7x; 7(x+1)<br><br> Are these equivalent? <br> TRUE or FALSE?
avanturin [10]

Answer:

I believe it would be true

3 0
3 years ago
Find the perimeter of the figure shown above. a. 18 yds c. 20 yds b. 10 yds d. 24 yds Please select the best answer from the cho
ycow [4]
<h3>Answer: 24 yards, choice D</h3>

There are 4 sides to this figure (trapezoid). The left slanted side and the right most vertical side, combined with the top and bottom horizontal sides, will get us the perimeter.

left slanted side = 5 yards

right most vertical side = 4 yards (see note below)

bottom side = 9 yards

top side = 6 yards

Add up the four sides mentioned: 5+4+9+6 = 9+15 = 24

note: the rectangle has opposite sides that are the same length. While the right most side isn't labeled, it is the same length as the left side of the rectangle, so both are 4 yards long.

Another thing I should probably mention is that we do not add in the interior 4 yard side. The perimeter is only the outer or exterior sides we care about. Think of it like we're trying to fence around some property lot and we don't want to subdivide the property up. Finding the perimeter will help us find the amount of fencing needed to surround the property.

4 0
3 years ago
A tutor earns $12 plus $4 for every hour he works. How much money would the tutor earn after working four hours?​
bearhunter [10]

Answer: $28

Step-by-step explanation: The tutor will earn 28 dollars after working for four hours.

12 + 4 ( 4 ) = 28

***If you found my answer helpful, please give me the brainliest, please give a nice rating, and the thanks ( heart icon :) ***

4 0
3 years ago
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