Vint is testing ceiling fans in a factory. for one of the tests, he switches the fan on, and after it attains a maximum speed of 500 rotations per minute (rpm), he switches the fan back off, recording the amount of time it takes for the fan to completely stop spinning. the given equation models vint's test, where x represents time in seconds and y represents the speed in rotations per minute. the equation has been graphed as shown. assuming that the test was complete when the fan stopped spinning completely, how long was the test? a. 100 seconds b. 10 seconds c. 20 seconds d. 500 seconds

C. 20 seconds

Step-by-step explanation:

We want to know when y=0

The first y is when it started and the second y=0 is when it stops

Looking at the graph y=0 at x=0 and  y=0 at x=20

The fan started at time 0 and stopped at 20 seconds

20 seconds

Step-by-step explanation:

Given :

Where x  represents time in seconds and y represents the speed in rotations per minute.

To Find : Assuming that the test was complete when the fan stopped spinning completely, how long was the test?

Solution:

Since we are supposed to find how long will it take to stop the fan completely

We assumed that  test was complete when the fan stopped spinning completely

i.e. y = Speed = 0

So, Substitute y = 0 in the equation    

⇒

⇒

⇒

⇒

⇒

Thus it took 20 seconds to stop the fan

Hence the test was 20 seconds long.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: