Answer:
x^3 - 3x^2 - 3x + 9 + (-36/(x+3))
OR
x^3 - 3x^2 - 3x + 9 - (36/(x+3))
Step-by-step explanation:
First set the divisor equal to 0:
x + 3 = 0
Subtract 3 from both sides
x = -3
This is what you'll divide the dividend by in synthetic division.
Take the coefficents of each term in the dividend. Do not forget the 0 placeholders:
x^4 + 0x^3 - 12x^2 + 0x -9
Coefficents: 1. 0. -12. 0 -9.
Please see the image for the next steps.
The remainder is -36. Put the remainder over the divisor and add it to the polynomial (shown in image)
-36/(x+3)
Answer:
75.36 inches
Step-by-step explanation:
C = π·d
C = 3.14(24)
C = 75.36
To work out the distance of the path, you need to find out the circumference.
Formula for circumference = pi multiplied by the diameter
So you simply do:
pi multiplied by 1.4 miles
And you should get:
4.39822971503... miles
Simply round the result to an appropriate value (e.g. 3 decimal places).
Answer: 4.398 miles (to 3dp)
Hope the answer helps :)
How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed?
sveta [45]
There are 6 digits. Each digit can take ten different numbers except for the first digit since it cannot be zero.
So:
9 x 10 x 10 x 10 x 10 x 10
900000 numbers.
Another way of thinking about this is to just count up to 999,999. Obviously there are 999,999 different numbers here. But since our number has to have 6 digits in them, we have to delete 99,999 numbers. Thus there are 900,000 different numbers.
Answer: 2, 9, 14, 17, 19
Step-by-step explanation:
A box plot uses the values: minimum, maximum, median, first quartile and third quartile.
First sort the data from lowest to highest.
2,8,9,11,14,15,17,19,20
Thus, the minimum, or Data Point 1 is 2.
Then find the median.
8,9,11,14,15,17,19
9,11,14,15,17
11,14,15
14
Thus, the median, or Data Point 3 is 14.
For the 1st and 3rd quartile, simply, ignoring the median, find the median of the first and second half of the data.
8,9,11
9
Thus, the first quartile, or Data Point 2 is 9.
15,17,19
17.
Thus, the third quartile, or Data Point 4 is 17.
The maximum of the data, or Data Point 5 is 19.
