Is it supposed to be equal to something, maybe "0"? You wouldn't be able to solve this without that.
Answer:
The answer is 21 minutes
Step-by-step explanation:
We use the equation Xf = Xo + vt
1) At 1:00 PM, child one leaves the starting point heading north at a constant velocity of 6 mi/hr or .1 [mi/min] (divide by 60 to convert from [mi/hr] to [mi/min])
2) He walks for 15 minutes before kid 2 starts walking. In 15 minutes he is able to cover 1.5 [mi]
3) Now, child 2 starts walking and we know that when the range reaches 3 miles, they won´t be able to communicate. So the sum of the final position of child 1 and child 2 must be 3[mi]
- Child 1 final position =>

- Child 2 final position =>

4) Sum the equations and equate to 3
5) Substitute the values we already know
6) in 15 + 6 minutes they will be 3miles apart
7) In 21 minutes they will still be able to communicate with one another.
Answer:
f(x) = 3x^2 - 12x - 36.
Step-by-step explanation:
f(x) =3 /2(x - 2)^2 - 24
f(x) = 3/2 (x^2 - 4x + 4) - 24
f(x) = 3/2 x^2 - 6x + 6 - 24
f(x) = 3/2 x^2 - 6x - 18
Multiply through by 2:
f(x) = 3x^2 - 12x - 36.