Answer:
12x+3 / 4x
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
find the mean, range ,and median of these values 12,4,-2,0,9.-2,1,7,8,2 recall the range is calculated by finding the difference
Lubov Fominskaja [6]
Put numbers in order
-2,-2,0,1,2,4,7,8,9,12
Mean add all the numbers = 39 divide 39 by the number of of numbers on the list which is 10. 39/10 = 3.9
Mean = 3.9
Range is the number of spots between -2 and 12 = 14
Range =14
Median is the middle number in the list there are two middle numbers 2 and 4. Add these together to get 6. Divide 6 by the number 2 because that is how many numbers you had to add. 6/2=3. The is not on the list but it is the average of the two terms.
Median =3
P=-1/4
Work:
-3(2+4p)=2(2p-1) distributive property space now it’s -6-12p=4p-2
-6-12p=-4p-2 add 4p on both sides
-6-16p=-2 add 6 on both sides
-16p=4 divide both sides by -16
P=-1/4
