The automaker of your new car recommends an oil change after the first 5,000 miles and every 3,000 miles there after? if you plan to drive the car 250 miles a week how many oil changes will you need the first year?

You will have 3 oil changes.

Step-by-step explanation:

The automaker of your new car recommends an oil change after the first 5,000 miles and every 3,000 miles there after.

Considering 52 weeks in a year.

You plan to drive the car 250 miles a week means you drive for miles per year.

So, you will have 1st change at 5000 miles.

Now after 5000 miles you have 1 oil change.

miles  (remaining)

Then second change at 3000 miles.

miles

Then again third change at 3000 miles.

miles  

Hence, you will have 3 oil changes.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

⭐⭐