Given:
16 emails to 6 text messages- 10 emails to 4 text messages
To find:
Whether 16 emails to 6 text messages- 10 emails to 4 text messages proportional or not.
Solution:
Check the ratio of emails to text. If the ratios are equal then the relation is proportional.
16 emails to 6 text messages.
![\dfrac{Emails}{Text}=\dfrac{16}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7BEmails%7D%7BText%7D%3D%5Cdfrac%7B16%7D%7B6%7D)
![\dfrac{Emails}{Text}=\dfrac{8}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7BEmails%7D%7BText%7D%3D%5Cdfrac%7B8%7D%7B3%7D)
![\dfrac{Emails}{Text}=8:3](https://tex.z-dn.net/?f=%5Cdfrac%7BEmails%7D%7BText%7D%3D8%3A3)
10 emails to 4 text messages.
![\dfrac{Emails}{Text}=\dfrac{10}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7BEmails%7D%7BText%7D%3D%5Cdfrac%7B10%7D%7B4%7D)
![\dfrac{Emails}{Text}=\dfrac{5}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7BEmails%7D%7BText%7D%3D%5Cdfrac%7B5%7D%7B2%7D)
![\dfrac{Emails}{Text}=5:2](https://tex.z-dn.net/?f=%5Cdfrac%7BEmails%7D%7BText%7D%3D5%3A2)
Since
or
, therefore, it is not proportional.
The range is our Y-values and the domain is our x-values
Our Y's are 2, 2, 3, 4...doing both 2's are redundant, so we write it as {2, 3, 4}
Answer:
The graph of y=log(x)+4 is the graph of y=log(x) translated 4 units up.
Step-by-step explanation:
The translation ...
y = log(x -h) +k
translates the log function right h units and up k units.
The only description matching the equation is ...
The graph of y = log(x)+4 is the graph of y = log(x) translated 4 units up.
Answer:
The number 11 is not a solution for the given equation.
Step-by-step explanation:
We are given an equation with one variable. We can use simplifying processes to solve the equation.
![3(x+6)=4x \ \ \text{Distribute the 3 through.}\\3x + 18 = 4x\ \ \ \text{Flip the equation.}\\4x = 3x + 18 \ \ \ \text{Subtract 3x from both sides.}\\\small\boxed{\bold{x = 18}}](https://tex.z-dn.net/?f=3%28x%2B6%29%3D4x%20%5C%20%5C%20%20%5Ctext%7BDistribute%20the%203%20through.%7D%5C%5C3x%20%2B%2018%20%3D%204x%5C%20%5C%20%5C%20%5Ctext%7BFlip%20the%20equation.%7D%5C%5C4x%20%3D%203x%20%2B%2018%20%5C%20%5C%20%5C%20%5Ctext%7BSubtract%203x%20from%20both%20sides.%7D%5C%5C%5Csmall%5Cboxed%7B%5Cbold%7Bx%20%3D%2018%7D%7D)
We can also substitute 11 for x and solve to see if the left side and right side of the equation equals itself.
![3(11 + 6) = 4(11)\\33 + 18 = 44\\\small\boxed{\bold{51 \neq 44}}](https://tex.z-dn.net/?f=3%2811%20%2B%206%29%20%3D%204%2811%29%5C%5C33%20%2B%2018%20%3D%2044%5C%5C%5Csmall%5Cboxed%7B%5Cbold%7B51%20%5Cneq%2044%7D%7D)
Therefore, 11 is not a solution for the given equation.
Answer:
2/4
Step-by-step explanation: