Answer:
The average rate on the outgoing trip is 30 miles per hour.
Step-by-step explanation:
Consider the provided information.
You commute to work a distance of 40 miles and return on the same route at the end of the day.
Your average rate on the return trip is 30 miles per hour faster than your average rate on the outgoing trip. If the round trip takes 2 hours.
Let the average rate on the outgoing trip is x
Average rate on the return trip = x+30
As we know 








The value of x can't be a negative number so x=30
Hence, the average rate on the outgoing trip is 30 miles per hour.
Replace the f(x) with y and proceed to make x the subject:
y=1/3x+5
y-5=1/3x
We need to ÷1/3 on both sides, so ×3 on both sides
3(y-5)=x
3y-15=x
Now swap y with x and replace the isolated x with f(x) so the inverse function is:
Answer:
Step-by-step explanation:
The linear equation in standard form is written in the form :
ax + by = c
Therefore : 12x = -9y + 7 in standard form will be :
12x + 9y = 7
He deposited $29, so a $29 dollar difference
Answer: The mean is <em>14</em> and the median is <em>14.5</em>
Step-by-step explanation:
To find the mean, add up all of the numbers in the series and divide by the amount of numbers in the series. In this case, the answer comes out to 14.
For the median, you put the numbers in order of least to greatest, as they are listed in the question. You then cross out a number from the left, then a number from the right, one at a time until you are left with either one middle number, or in this case two middle numbers. In this case you are left with 13 and 16. You then find the average of the two middle numbers, which in this case is 14.5
Hope this helps!