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you had to the gym for a workout and get on a treadmill you set a goal on the treadmill to burn 300 calories while running at a constant speed the treadmill tells you how many total miles xerun along with the number of calories see you have left to burn at one point during your workout you look at the treadmill screen and it tells you that after running 0.6 miles you have 255 calories left to burn to meet your goal how many calories will you burn after running 1 mile

  75

Step-by-step explanation:

In running 0.6 miles, you have gone from 300 remaining to 255 remaining, so have burned ...

  300 -255 = 45 . . . . . calories

The rate in calories per mile is ...

  (45 cal)/(0.6 mi) = 75 cal/mi

At the rate of the first 0.6 miles, you will burn 75 calories running 1 mile.

mx+89b(-98)nb

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1