To perform this check, you must use the following theorem: 
is a lower bound for the zeroes of 
if, when divide by 
, the quotient and the remainter alternate signs.
Since the long division yields the result
You can see that the signs don't alternate (the last two terms are positive). So, -1 is not a lower bound.
In fact, the actual roots of the polynomial are -3, -2, 1, 3, so as you can see there are roots smaller than -1.
Answer:
a) 10.10 a.m. , (b) 10.20 a.m. which is 10 minutes after sprints start , (c) The students work at 10.50 a.m. , (d) For 60 minutes from 10 a.m. to 11 a.m. which equals to 1 hour
Answer:
2/3
Step-by-step explanation:
2/15 of 5
Of means multiply
2/15 * 5
Multiply the numerators
2*5 = 10
Put over the denominator
10/15
We can divide the top and bottom by 5
10/5 =2
15/5 =3
2/3
Answer:
216.5
Step-by-step explanation:
Pyramid volume=(area of the base)*(height)/3
Pyramid volume=(area of hexagon with side 5)*(height)/3
Area of hexagon is 3*sqrt(3)*(side)^2/2=75*sqrt(3)/2
Pyramid volume=10*(75*sqrt(3))/(2*3)=216.5
