The zeros of the polynomial are <span>1, 2, -2 and -3, so this polynomial must have at least one of each of these factors:
(x-1), (x-2), (x-(-2)), and (x-(-3)); rewriting: </span>(x-1), (x-2), (x+2), and (x+3).
Thus, any such polynomial must have a factor (x-1)(x-2)(x+2)(x+3).
The simplest such polynomial we can think of, is p(x)=(x-1)(x-2)(x+2)(x+3).
To write in standard form, lets first multiply the factors two by two as follows:
by the difference of squares formula,
.
Next, we multiply our results:
.
Answer:
Question:
Solution:
The solution to a system of linear equations is where the graphs of each linear equation intersect. In this case, we can see that the lines intersect at the point:
(-3,2)
thus, the correct answer is (-3,2).
Answer:
Step-by-step explanation:
Given:
Games:
0
0
1
1
2
2
3
5
5
5
6
8
8
A.
Median is the middle value after the ste of values are arranged in ascending order, M which is the 7th value = 3
B.
Median increased by 2, M + 2
Therefore, new Median = 5
This means that the 2 runs are less than the previous median, 3 or greater than the new median, 5.
Possible pairs:
1, 2 or 6, 8
C.
Median can be 2.5 when the total number of runs scored are even numbers, therefore if the middle numbers are 2 and 3. In this case a number greater than or equal to 2;
The median = (2 + 3)/2
= 2.5
D.
Range is the difference between the highest value of runs scored to the lowest value of runs. In the data given above, range = 8 - 0
= 8.
It is possible to play 2 more games and no change in the range, 8 if the value of the 2 games (or 1 game) is/are greater than 0, the lowest value of runs scored and/or less than 8, which is the greatest value of runs scored.
Answer:
43b. (-1, 2)
43a. (1, -3)
36b. Yes: (0,9)
Step-by-step explanation:
<u>43b</u>. x+y=1
-x+y=3
----------------------
2y=4 > y=2
2+x=1 > x=-1
check:
2(-1)+2=0
0=0
<u>43a</u>. can you figure this one out by yourself and then check it? If you can't I will show my work. The answer is above. :)
<u>36b</u>. y-(0)^2=9
y=9
Question says that a bookkeeper is posting to the accounts of a manufacturer of coffee. Their accounting software deals with weights in kilograms, but the company’s handwritten accounts state that they have produced 21,560 pounds (lbs.) coffee this month.
Now we have to find about what entry in kilograms should they put into their spreadsheet.
Basically they want to convert 21560 pounds into kilogram.
We know that 1 pound = 0.453592 Kilograms
Then 21560 pound = 0.453592*21560 = 9779.44352 Kilogram
Hence final answer is approx 9779.44 Kilogram.