Estimation is always helpful when it comes to math. By estimating, you will have a good idea with what the final answer should be before you actually get it. This way, you will hopefully be able to have a good sense of whether the answer is wrong
Answer:
x²-(i-3)x- 3i
Step-by-step explanation:
What is a third-degree polynomial function P(x) with rational coefficients so that P(x) = 0 has roots −3 and i?
Given the toots of the polynomial to be -3 and i, the factors of the polynomial will be (x+3) and (x-i)
Taking the product
P(x) = (x+3)(x-i)
P(x) = x²-xi+3x-3i
P(x) = x²-(i-3)x- 3i
Hence the required polynomial is
x²-(i-3)x- 3i
Answer:
The cost increase for each square of carpet by 12.
Step-by-step explanation:
The given function is
It is a slope intercept form of the line
Where m is the slope and b is y-intercept.
Therefore the slope of given function is 12 and the y-intercept is 50.
It means the initial ot fixed cost of the carpet is 50 and the cost increased by 12 for each square of carpet.
Answer:
Step-by-step explanation:
The equation of a circle is 
where 
is the center of the circle and 
is the radius of the circle.
Given that 
and it passes 
, their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:
Therefore, if the length of the radius is 
units, then 
, making the final equation of the circle
5•3=25 :) hope this helps!
