Answer:
Step-by-step explanation:
Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if 
are the zeros of the cubic polynomial , then ,
Here in place of the Greek letters , substitute 2,i and -i , we get ,
Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,
Simplify using i = √-1 ,
Multiply by distribution ,
Simplify by opening the brackets ,
Rearrange ,
remember that local minimuns are points in which the function was decreasing and starts increasing.
you can try two ways of doing it, graphing the functions or using derivatives.
since this are twelve functios the easier way is to graph them.
start by function y=x
in this case this function is continously increasing as x increases, which means that it does not have any local maxima or minima.
now do the same for
this graph has a local minima on th
Answer:
C) The scale factor is 2
Step-by-step explanation:
The side length of the bigger pentagon is 2 times bigger than the smaller one, so C is correct.
Answer:
$44,998.85
Step-by-step explanation:
Price of the car = $42,055
Tax = 7%
Total cost = Price of the car + amount of tax
= 42,055 + 7% of 42,055
= 42,055 + 7/100 * 42,055
= 42,055 + 0.07 * 42,055
= 42,055 + 2,943.85
= 44,998.85
Total cost = $44,998.85
