Answer:

Step-by-step explanation:
The period of the functions
,
,
or
can be calculated as

The period of the functions
or
can be calculated as

A. The period of the function
is

B. The period of the function
is

C. The period of the function
is

D. The period of the function
is

E. The period of the function
is

.723 is the percentage change, just move the decimal over 2 places. 72.3%
6x^5 - 30x^4 - 84x^3
we can factor out 6x^3
6x^3(x^2 - 5x - 14)
Also, we can factor x - 7 and x + 2 out of x^2 - 5x - 14
The final answer = 6x^3(x - 7)(x + 2)
Answer:
33.3%
Step-by-step explanation:
The number of people that must be fed has increased from 4 to 6, so is 6/4 = 3/2 as many as planned.
Assuming the additional people eat the food at the same rate as the original people, the time and number of people are assumed to be inversely proportional. That is, the time the food will last is 2/3 of the originally expected time. It has decreased by 1/3 × 100% = 33.3%.
___
If you like, you can count rations. For four people for 12 days, at 3 rations per person per day, a total of 144 rations are needed. When the number of people becomes 6, the number of days that will last is ,,,
(144 rations)/(6 persons)/(3 rations/person/day) = 8 days
The percentage change in trip days is ...
(8 -12)/12 × 100% = -4/12 × 100% = -33.3% . . . a decrease of 33.3%
Answer:
Step-by-step explanation:
3 * (2y - 4x) = 8
6y - 12x = 8
divide by 2 throughout
3y - 6x = 4
-6x + 3y -4 = 0