Answer:
[x(x - 1)(x - 4)]/(2(x + 4))
Step-by-step explanation:
We want to find;
[(x² - 16)/(2x + 8)] * [(x³ - 2x² + x)/(x² + 3x - 4)]
Now,
x² - 16 can be factorized as;
(x + 4)(x - 4)
Also, 2x + 8 can be factorized as;
2(x + 4)
Also, (x³ - 2x² + x) can factorized as;
x[x² - 2x + 1] = x[(x - 1)(x - 1)]
Also,(x² + 3x - 4) can be factorized out as; (x - 1)(x + 4)
So plugging in these factorized forms into the equation in the question, we have;
[(x + 4)(x - 4)/(2(x + 4))] * [x[(x - 1)(x - 1)] /((x - 1)(x + 4))
This gives;
((x - 4)/2) * x(x - 1)/(x +4)
This gives;
[x(x - 1)(x - 4)]/(2(x + 4))
Answer:
0.95
Step-by-step explanation:
The computation of the probability that a customer neither buys beer nor buys cigars is given below;
Given that, the probabilities are
The customers who purchased cigars be 0.02
The customers who purchased cigars + beer 0.50
And, the customers who purchased beer + cigars be 0.25
Now the probabilities where the customer purchased both
= 0.05 × 0.02
= 0.10
The probability where the customer purchased beer is
= 0.01 ÷ 0.25
= 0.04
Now the probability where a customer neither buys beer nor buys cigars is
= 1 - 0.02 + 0.04 - 0.01
= 0.95
The formula used to find the length of a line segment is the same formula as the Pythagoras theorem.
We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.
We can write the formula as
CD =

CD =
Answer:
14.04 miles per hour
Step-by-step explanation:
The problem is asking for Izumi's speed. The formula of speed is:
- s =
, where "s" means speed, "d" means distance and "t" means time.
The problem is also asking for the unit<u> miles per hou</u>r (
) so, this means that we have to know how many miles Izumi ran, given that the problem only mentioned<u> yards (110 yards).</u>
Let's convert 110 yards to miles, provided that he Izumi ran 1,760 yards in a mile.
- 110 yards ÷ 1760
= 0.0625 miles (this is the distance covered by Izumi in miles)
Let's go back again to the formula: s = 
s =
= 0.0039 
Since, the we arrived at a miles per second unit, we have to convert it to miles per hour.
So, if a minute has 60 seconds, then an hour has 3,600 seconds.
Thus, 0.0039
× 3,600
= 14.04 miles per hour (the answer)