Answer:
(x - 1) (x + 1) (x - 4) (x + 4)
Step-by-step explanation:
actor the following:
x^4 - 17 x^2 + 16
x^4 - 17 x^2 + 16 = (x^2)^2 - 17 x^2 + 16:
(x^2)^2 - 17 x^2 + 16
The factors of 16 that sum to -17 are -1 and -16. So, (x^2)^2 - 17 x^2 + 16 = (x^2 - 1) (x^2 - 16):
(x^2 - 1) (x^2 - 16)
x^2 - 16 = x^2 - 4^2:
(x^2 - 1) (x^2 - 4^2)
Factor the difference of two squares. x^2 - 4^2 = (x - 4) (x + 4):
(x - 4) (x + 4) (x^2 - 1)
x^2 - 1 = x^2 - 1^2:
(x^2 - 1^2) (x - 4) (x + 4)
Factor the difference of two squares. x^2 - 1^2 = (x - 1) (x + 1):
Answer: (x - 1) (x + 1) (x - 4) (x + 4)
Answer:
A=πr2=π·212≈1385.44236cm²
1/4 is 25 percent so it is still 40.00
Answer: Can you make the question a bit clear?
Answer: 9 / 11
That is approximately 0.82
Explanation:
The ratio of two quantities x and y is x divided by y, i.e. the quotient x / y.
So, the ratio of Sylia's work time to Paul's work time is:
Sylvia's work time
---------------------------
Paul's work time
Given that you have the times in mixed units, hours and minutes, you must convert to one of the, either hours or minutes.
If you choose to work with hours, this is the work:
1) Silvia's time: 3 hours and 45 minutes = 3 hours + 45 / 60 hours = 3hours + 0.75 hours = 3.75 hours
2) Paul's work time: 4 hours and 35 minutes = 4 hours + 35/60 hours = 4 hours + 7/12 hours = (48+7)/12 = 55/12 hours ≈ 4.58 hours
3) Ratio:
Sylvia's work time 3.75 hours 3.75*12 45 9
------------------------- = --------------------- = ---------------- = -------- = -----
Paul's work time (55/12) hours 55 55 11
≈ 0.82
You can calculate the ratio using minutes and shall obtain the same result. Look:
1) 3 hours + 45 minutes = 3 * 60 minutes + 45 minutes = 180 minutes + 45 minutes = 225 minutes
2) 4 hours + 35 minutes = 4*60 minutes + 35 minutes = 240 minutes + 35 minutes = 275 minutes
3)
225 minutes 9
----------------- = ------, which is the same result obtained above.
275 minutes 11
