Answer:
(x² − 2x + 2) (x − 1)
Step-by-step explanation:
Use grouping.
x³ − 3x² + 4x − 2
x³ − 3x² + 2x + 2x − 2
x (x² − 3x + 2) + 2 (x − 1)
x (x − 2) (x − 1) + 2 (x − 1)
(x (x − 2) + 2) (x − 1)
(x² − 2x + 2) (x − 1)
Find the scale between sides xz and gh
18/4 = 4.5
Multiply the length of fh by the scale to find x
6 x 4.5 = 27
x = 27
Answer:
Step-by-step explanation:
Ok so to find constant of proportionality, you need to find K.
X would be gallons and y is cost.
To find k you need to do k=y/x
k=17.50/5
k=3.5
That's the first one. Now you need to make sure its <em>constant</em> with each one so keep going.
k=35/10
k=3.5
k=52.50/15
k=3.5
For all of those 3.5 was constant.
Because they are constant, that means the data in the graph is a proportion.
An example of an unproportional relationship would be if instead of 15 in the last column, it was 16.
k=52.50/16
k=3.28
That be different from the other 3.5's meaning its not proportional. But that's just an example.
If you need extra help reach out to me and I'll help you best I can. I hope this helps though. <3
Answer:
Step-by-step explanation:
We are to integrate the function
over the area enclosed by the circle
Convert into polar coordinates
x=rcost and y = rsint
Since the lines are x=0 and y=x we find that t varies from 0 to pi/4
Double integral will become now
(since variables are independent here)
Substitute for r and t
4 sin pi/4 -2 cospi/4
= 
7/15 / (3/5)
Flip the 2nd fraction and multiply:
7/15 * 5/3
Multiply the numerators and denominators together:
35/45
Divide 5 to the numerator and denominator:
35 / 5 = 7
45 / 5 = 9
7/9
