This is the concept of exponential functions; The statements that are correct about the exponential decay functions are:
1. The domain is all real number
4. The base must be less than 1 and greater than 0
5. The function has a constant multiplicative rate of change
Step-by-step explanation:
hypotenuse =

Answer:
12:05 pm
Step-by-step explanation:
Let z be the number of hours, from 11:00 am, when Jimmy would catch up with John. The time that Jimmy will have to drive to catch up with John is z - 1/4 as he started a quarter of an hour late. When Jimmy would catch up with John, they would have traveled the same distance. Hence
50 z = 65 (z - 1/4)
Solve for t
50z = 65z - 65/4
z = 65/60 = 1.083 hours = 1 hour and 5 minutes
Jim will catch up with John at
11:00 am + 1 hour 5 minutes = 12:05 pm
Answer From Gauth Math
Answer:
Slope is the change in y over the change in x. Just subtract and simplify the fraction.
Step-by-step explanation:
(-3 - 4)
______
(-2 - 6)
Philip is 5 years old and Jon is 19 years old now.
Step-by-step explanation:
Step 1 :
Let x be the age of Philip Now
Since Jon is 14 years older than Philip,
Age of Jon = 14 + x
Step 2 :
After 2 years,
Age of Philip = x+ 2
Age of Jon = 14+x+2 = 16+x
Step 3 :
Given that in 2 years, Jon will be 3 times as old as Philip.
So we have 16 + x =3(x+2)
=> 16 + x = 3x +6
=> 2x = 10 = x = 5
Hence age of Philip is 5 years
Age of jon = x + 14 = 5+ 14 =19 years