![\bf ~~~~~~~~~~~~\textit{function transformations} \\\\\\ % templates f(x)= A( Bx+ C)+ D \\\\ ~~~~y= A( Bx+ C)+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \\\\ f(x)= A sin\left( B x+ C \right)+ D \\\\ --------------------](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bfunction%20transformations%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20templates%0Af%28x%29%3D%20%20A%28%20%20Bx%2B%20%20C%29%2B%20%20D%0A%5C%5C%5C%5C%0A~~~~y%3D%20%20A%28%20%20Bx%2B%20%20C%29%2B%20%20D%0A%5C%5C%5C%5C%0Af%28x%29%3D%20%20A%5Csqrt%7B%20%20Bx%2B%20%20C%7D%2B%20%20D%0A%5C%5C%5C%5C%0Af%28x%29%3D%20%20A%28%5Cmathbb%7BR%7D%29%5E%7B%20%20Bx%2B%20%20C%7D%2B%20%20D%0A%5C%5C%5C%5C%0Af%28x%29%3D%20%20A%20sin%5Cleft%28%20B%20x%2B%20%20C%20%20%5Cright%29%2B%20%20D%0A%5C%5C%5C%5C%0A--------------------)
![\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbullet%20%5Ctextit%7B%20stretches%20or%20shrinks%20horizontally%20by%20%20%7D%20%20%20A%5Ccdot%20%20%20B%5C%5C%5C%5C%0A%5Cbullet%20%5Ctextit%7B%20flips%20it%20upside-down%20if%20%7D%20%20A%5Ctextit%7B%20is%20negative%7D%5C%5C%0A~~~~~~%5Ctextit%7Breflection%20over%20the%20x-axis%7D%0A%5C%5C%5C%5C%0A%5Cbullet%20%5Ctextit%7B%20flips%20it%20sideways%20if%20%7D%20%20B%5Ctextit%7B%20is%20negative%7D)
![\bf ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~%5Ctextit%7Breflection%20over%20the%20y-axis%7D%0A%5C%5C%5C%5C%0A%5Cbullet%20%5Ctextit%7B%20horizontal%20shift%20by%20%7D%5Cfrac%7B%20%20C%7D%7B%20%20B%7D%5C%5C%0A~~~~~~if%5C%20%5Cfrac%7B%20%20C%7D%7B%20%20B%7D%5Ctextit%7B%20is%20negative%2C%20to%20the%20right%7D%5C%5C%5C%5C%0A~~~~~~if%5C%20%5Cfrac%7B%20%20C%7D%7B%20%20B%7D%5Ctextit%7B%20is%20positive%2C%20to%20the%20left%7D%5C%5C%5C%5C%0A%5Cbullet%20%5Ctextit%7B%20vertical%20shift%20by%20%7D%20%20D%5C%5C%0A~~~~~~if%5C%20%20%20D%5Ctextit%7B%20is%20negative%2C%20downwards%7D%5C%5C%5C%5C%0A~~~~~~if%5C%20%20%20D%5Ctextit%7B%20is%20positive%2C%20upwards%7D%5C%5C%5C%5C%0A%5Cbullet%20%5Ctextit%7B%20period%20of%20%7D%5Cfrac%7B2%5Cpi%20%7D%7B%20%20B%7D)
with that template in mind,
y=|x| ====> y=|x-C|-D ====>
y=|x-10|-3.
Answer:
3.2
Step-by-step explanation:
The distance of 2.7 and 3.7 to 3.2 is .5 each, thus it is the integer in between both numbers.
Use distance = rate x time
18 minutes is 3/10 of an hour.
So the distance to the store is:
d = 20*(3/10) = 6 miles
The distance downhill is the same, 6 miles. So:
6 = (60)t
6/60 = t
1/10 = t
Where t is the time it took to go back home. So t is .1 hour (6 minutes).
To calculate average speed we use the formula:
average speed = total distance/ total time
average speed = (6+6)/(.3 + .1) = 12/(.4) = 30
So her average speed for the entire trip is 30 mph (miles per hour).
Answer:
(x + 9) = 5
Subtract 9 from both sides
x = -4
There is your simplified answer
Step-by-step explanation:
Hope this helps!!! Have a great day!
Well the way you explain it there were 6 but i don’t think you typed the question right