To simplify with exponents, don't feel like you have to work only with, or straight from, the rules for exponents. It is often simpler to work directly from the definition and meaning of exponents. Step-by-step explanation:
Answer:
Sonya is ten her mother is 22
Step-by-step explanation:
Answer:
20/7 days (just less than 3 days)
Step-by-step explanation:
Recall that (1 job) = (rate)(time), so time = (1 job) / (rate).
Set up and solve the following equation:
1 job
------------------------------- = time required for 2 pumps working together
1 job 1 job
---------- + -------------
4 days 10 days
This comes out to:
1 job
------------------------------------------- = time required
10 job-days 4 job-days
------------------ + -----------------
40 days 40 days
or:
1 job
-------------------- = (40/14) days, or 20/7 days (just less than 3 days)
14 job·days
-----------------
40 days
Answer:
f(x)=1/4(4)^(x-1) -4
Step-by-step explanation:
The negative value for x=2 tells you that the vertical offset cannot be positive. That rules out the 1st and 3rd choices.
You can try x=2 in the remaining functions to see which works:
f(2) = 4(4^(2-1)) -4 = 12 ≠ -3 . . . . . . . . the 2nd choice does not work
f(2) = (1/4)(4^(2-1) -4 = -3 . . . . . . . . . . the 4th choice matches the table
