Answer: x + 9x + (9x - 7)
Simplified: 19x - 7
Step-by-step explanation: We see that Abby already starts off with x dolls. We put a 9 infront of the x for the second part of the expression because Lauren has 9 times as many dolls as Abby. Since Betsy has 7 less than Lauren, we take away 7 from 9x. We put that part in parenthesis because that part needs to be done first before we add everything together. Once simplified, we have "19x - 7". (I really tried my best so I hope this is the correct answer!)
One way to do it is with calculus. The distance between any point

on the line to the origin is given by

Now, both

and

attain their respective extrema at the same critical points, so we can work with the latter and apply the derivative test to that.

Solving for

, you find a critical point of

.
Next, check the concavity of the squared distance to verify that a minimum occurs at this value. If the second derivative is positive, then the critical point is the site of a minimum.
You have

so indeed, a minimum occurs at

.
The minimum distance is then
<u>Complete Question</u>
The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.

Answer:

Step-by-step explanation:
From the table above
Total Number of commuters who used public transportation=329
Number of commuters who spent 60 or more minutes on public transportation=108
Therefore:
Given that a commuter used public transportation, the probability that the commuter had a commute of 60 or more minutes:
P ( 60 + minutes ∣ public transportation ) = 