We notice that for x = 2 , or x = 4, the value of y=0 (x intercept),
replace x by any of the latter value in y=a(x-3)² -1
===> 0= a( 2-1)² - 1====>a=1
Answer: 4
Step-by-step explanation:
The given function :
The average rate of change in a function g(x) from x=a to x=b is given by :-
Then, the average rate of change of the given function from x = 1 to x = 3 will be :-
x = 1 to x = 3 is 4
Answer:
f(x) =
is the required polynomial.
Step-by-step explanation:
Given the zeroes (roots) of the polynomial are
and
.
We know that complex roots occur in conjugate pairs.
So, this means that
and
would also be the roots of the polynomial.
If
are to be the roots of the polynomial then the polynomial should have been:
.
Now, to determine the polynomial for which
would be the roots.
Roots of the polynomial are nothing but the values of x (any variable) that would make the polynomial zero.
⇒ 
⇒ 
The required polynomial would be the product of all the above polynomials.

Multiply this to get the required equation.
⇒

∴ The required polynomial is x⁴ - 2x³ + 49x² - 18x + 360 = 0.
Answer:
Step-by-step explanation:
— That's how the notes start, and they only get murkier after that. ... I decide to do my daughter's homework for one typical week. ... So a good day of reading for me, assuming I like the book and I'm not looking for quotable ... Well, imagine if after putting in a full day at the office—and school is pretty much what
X= 6
Y= 8.5
I used Tan to find X and Cos to find Y