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Hope this helps, have a nice day!
Answer:
Y= 20
X= 25
Step-by-step explanation:
The angles of a triangle have to equal 180
So
80+60 = 140
180 - 140 = 40
40/2 = 20
Y = 20
The angles of a linear line split equal 180
So
2y is one side of it which we learned Y = 20 which makes that side 40
To find the other side just guess and check
6(25) = 150
150 - 10 = 140
So the 2y = 40 and the (6x-10) = 140
So yea boom done
Two polynomials are equal if the coefficients are equal.
I don’t know and i understand that the other one didn’t do it but did you already try searching it?
Remark
First of all you have to declare the meaning of g(f(x)) After you have done that, you have to make the correct substitution.
Givens
f(x) = 4x^2 + x + 1
g(x) = x^2 - 2
Discussion
What the given condition g(f(x)) means is that you begin with g(x). Write down g(x) = x^2 - 2
Wherever you see an x on either the left or right side of the equation, you put fix)
Then wherever you see f(x) on the right you put in what f(x) is equal to.
Solution
g(x) = x^2 - 2
g(f(x)) = (f(x))^2 - 2
g(f(x)) = [4x^2 + x + 1]^2 - 2
f(x)^2 =
4x^2 + x + 1
<u>4x^2 + x + 1</u>
16x^4 + 4x^3 + 4x^2
4x^3 + x^2 + x
<u> 4x^2 + x + 1</u>
16x^4 + 8x^3 + 9x^2 + 2x + 1
Answer
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x + 1 - 2
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x - 1
