1) <span>Which of the following shows that polynomials are closed under subtraction when polynomial x + 5 is subtracted from 3x2 + 2x − 6?
3x^2+2x-6-(x+5)=3x^2+2x-6-x-5=3x^2+x-11
Answer: Second option: </span><span>3x^2 + x − 11 will be a polynomial
2) </span><span>Which of the following shows that polynomials are closed under subtraction when polynomial 3x2 + 4 is subtracted from x2+ 2x + 5?
x^2+2x+5-(3x^2+4)=x^2+2x+5-3x^2-4=-2x^2+2x+1
Answer: Third option </span><span>−2x^2 + 2x + 1 will be a polynomial</span>
Step-by-step explanation:
The given rational function defined by the equation:
where :k = average number of vehicles arriving at the gate per minute
r = average number of vehicles admitted by the park attendants
T = the average waiting time in minutes for each vehicle
a) k = 26 , r = ?, T = 30 seconds
T(r) = 30 seconds
on solving:
r = 0.016657 , 30.017
r = 30.017 (accept, given that r > k )
Admittance rate r that is necessary to keep the average waiting time T for each vehicle to 30 sec is 30.017.
b) k = 5.3, r = ?, T = 30 seconds
T(r) = 30 seconds
r = 0.016657 , 5.31672
r = 5.31672 (accept, given that r > k )
5.31672 park attendants will be needed to keep the average wait to 30 seconds.
Answer:
If youre looking for the value of y:
Step-by-step explanation:
4/5 y=32
y= 32/(4/5)
y=40
Use the simple multiply by Zero explanation. Anything multiplied by 0= 0 and 0 is not bigger than 0. So there this disproves Jackson's claim.