Answer:
Step-by-step explanation:
The function y = x² + 16 is positive for any value of x, hence the graph has no intersection with the x-axis and therefore has no real zero's.
If no zero's, -4 also can't be its zero.
Ok, so you have the range correct. It is
120<___<150
(It should be less than or equal to, but there's no symbol for that, to my knowledge.)
But the term in the middle shouldn't be .25x
The reason is because that actually quadruples the price in the end, as you seem to have found out. Rather, instead of multiplying x by .25, multiply the numbers in the range by .75.
Here's why:
When you reduce something in price by 25%, you are paying for 75% of the original price. Not 25%. That would be a 75% discount.
So, in all actuality,your answer would be $90
The awnser is the simplified stystem is the arbitrary solution of the original system of equations
To start, note that an hour is 60 minutes long. A 1/2 hour, or half hour, is then 60/2=30 minutes. Therefore, when we have 11 hours and 30 minutes, we have 11 and a half hours. Adding 3 and a half to that, we get 11.5+3.5=15 (a half can also be expressed as .5, although it's not typically done that way when expressing time - it just might be easier to visualize it this way). Therefore, we are 15 hours into the day. However, we can't just stop there - we have to account for AM and PM. Therefore, we subtract 12 hours from 15. If the number is positive, we are in PM - otherwise, we're in AM. Therefore, as 15-12=3, the time is in PM. The remaining number is the time, so Bill leaves at 3 PM. If we are left with a decimal (e.g. 3.25), we would keep the 3 and multiply the 0.25 (the decimal) by 60 to figure out how many minutes we have, so 3.25 would turn into 3+0.25*60=3:15.
Feel free to ask further questions!
