Answer:
f(x)=-1/2x+3
Step-by-step explanation:
In this problem, the student is running a 3-kilometer race.
This means that the total length of the race is 3 km.
We also know that the student runs 1 kilometer every 2 minutes. For a uniform motion, the speed is given by

where in this case,
d = 1 km is the distance
t = 2 min is the time
So the speed is

We can therefore write the distance covered by the student (from the starting line) after x minutes as

However, here we want to write an expression for the distance of the student from the finish line.
Since the distance from the finish line at x = 0 is 3, therefore the distance from the finish line after x minutes is:
d = 3 - y'
So

which corresponds to the option:
f(x)=-1/2x+3
Hey!
Dean's family has been traveling on the same speed for two days, so to find how far you will need to travel you will need to find how far they are traveling in one hour..
To find this you will need to set up a proportion...
3/195 = 1/x
Solve this proportion by cross multiplying and then dividing..
195 * 1 = 195/3 = 65
This tells you that they are traveling 65 miles per hour. Now with this you will simply have to multiply 65 by 5 to tell you how far they would be traveling in 5 hours with the given speed...
65 * 5 = 325
Your answer of 325 miles tells you how far they traveled.
Hope it Helped!
~A
Answer:
The answer would be B. 12 + 6n is greater than or equal to 30, so n is less than or equal to 3.
explanation:
I'm bad with explaining things, but I'll try my best to explain why this is the right answer.
12 + 6n ≥ 30, so n ≤ 3
let's start with the 12 at the beginning of the inequality, Annie already has $12, so the 12 in the inequality shows the amount of money she already has being added to the $6 per hour of babysitting she needs to do (n).
Now for the + 6n, the plus is there to show that the $12 Annie already has is being added to the 6n. The 6n then represents the $6 Annie makes each hour and the n represents how many hours she needs to babysit in order to get $30. The 6 is being multiplied by the amount of hours she needs to babysit to show how much money Annie would make. Then you add on the $12 she already has.
Annie then needs at least $30, but if she makes more than $30 then she will simply have more money than needed, therefore you use the greater than or equal to sign to show that she can have more money than just $30 after working.
I hope this helps, and sorry if my explanation is hard to understand lol.
Answer:
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Step-by-step explanation: