Answer:
y=cos(x+π)
Step-by-step explanation:
Known that the cosine function has a period of 2π.
Now, the parental function is y = cosx, which has y-intercept at y = 1, and x-intercept at π/2.
Notice that the function showed in the graph attached has y-intercept at y = -1 and x-intercept at π/2. This indicates that the function has been moved leftwards π units.
Therefore, the function that belongs to this graph is

For every 1,000 feet you go up in elevation, the temperature decreases by about 3.3°F
Given:
Temperature at the bottom of the mountain is 74°F
The top of the mountain is 5500 feet above you
Change (reduction) in temperature is 3.3 X 5500 / 1000
= 18.15°F
Temperature at the top of the mountain is 74°F – 18.15°F
= 55.85°F
Hey there! :D
So, we know that Jane received $9 out of the $30.
Divide 9 by 30.
9/30= .3
Turn that into a percentage.
.3= 30%
We can check this by finding the other percentages.
Ruth= 15 15/30= .5 50%
Mary= 6 6/30= .2 20%
30%+20%+50%= 100% <== this works
I hope this helps!
~kaikers
Answer:

Distance = 21 miles.
Step-by-step explanation:
Let x be the distance in miles between the airport and Ann's home.
We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile. So fare for x miles will be 2.10x.
We are also told that she gave the driver a tip of $5. Ann paid a total of $49.10. This means that fare of x miles and tip given to driver equals $49.10. We can represent this information in an equation as:

Now let us solve our equation.



Therefore, the equation
represents the distance in miles between the airport and Ann's home and distance between Ann's home and airport in 21 miles.