1/2 is equal to 50%, 3/4 is equal to 75%, and 7/8 is equal to 87.5 percent. Therefore, the order is 1/2, 3/4, and then 7/8.
Answer:
Simplest polynomial: x²+x-12
Step-by-step explanation:
zeroes of polynomial= 3,-4
Therefore,
f(3) =0
f(-4)=0.
By factor Theorem
(x-3) and (x+4) are factors
so simplest polynomial is
(x-3)(x+4)
= x² - 3x + 4x -12
= x² + x -12
.
Hope it helps
Answer:
Square root of 30 is irrational because the answer is a non-terminating decimal.
4/7 is rational because it is a fraction.
21 divided by the square root of 4 is irrational because the result is a non-terminating decimal.
Pi is irrational because it's a non-terminating decimal.
-27 is rational because rational numbers can be positive or negative.
I hope this is correct! :-)
Let's define variables:
s = original speed
s + 12 = faster speed
The time for the half of the route is:
60 / s
The time for the second half of the route is:
60 / (s + 12)
The equation for the time of the trip is:
60 / s + 60 / (s + 12) + 1/6 = 120 / s
Where,
1/6: held up for 10 minutes (in hours).
Rewriting the equation we have:
6s (60) + s (s + 12) = 60 * 6 (s + 12)
360s + s ^ 2 + 12s = 360s + 4320
s ^ 2 + 12s = 4320
s ^ 2 + 12s - 4320 = 0
We factor the equation:
(s + 72) (s-60) = 0
We take the positive root so that the problem makes physical sense.
s = 60 Km / h
Answer:
The original speed of the train before it was held up is:
s = 60 Km / h