Y=x².
This is te function of a parabola open upward
the domain is all values of x ={x/x∈z}
Answer:
1.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
The sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) in our case:
s(n)=3(1-4^n)/(1-4)
s(n)=-(1-4^n)
s(n)=(4^n)-1 and s=1023
(4^n)-1=1023
4^n=1024
n ln4=ln1024
n=(ln1024)/(ln4)
n=5
Answer:
9.1 minutes.
Step-by-step explanation:
Let t represent time taken to fill the tank.
We have been given that a cold water faucet can fill a sink in 12 min, so the part of sink filed in 1 minute would be
.
The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be
.
The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be
.
The part of 1 full tank filled in t minutes, when both faucets are on and the drain is open would be:

Make a common denominator:









Therefore, it will take 9.1 minutes to fill the sink.