Answer:
f(x) = (x - 2)²
Step-by-step explanation:
f(x) = x² - 4x + 4 is a perfect trinomial.
You know a trinomial is perfect when double the square root of the first term multiplied by the square root of the last term equals the middle term.
As an equation, a trinomial in the form ax² + bx + c = 0:
2√a√c = b is a perfect trinomial.
Perfect trinomial are factored in this form:
(√a ± √c )(√a ± √c ) = (√a ± √c )²
Whether the sign is + or - depends on if the middle term is positive or negative.
In f(x) = x²-4x+4, the middle term is a negative.
The square root of the first term is 1.
The square root of the second term is 2.
The factored form is (x - 2)²
The rational root (or zero) theorem says a polynomial's rational zeros must have factors of the constant in the numerator and those of the leading coefficient in the denominator.
Here the leading coefficient is 1 and the constant is 5, so our only possibilities for rational roots are 1, -1, 5, -5
We try them each in term
1-3+1+5=6 nope
-1 -3 -1 +5 = 0 yes, x = -1 is a rational zero
5 and -5 don't work either so we're left with
Final answer: x = -1
Answer: 10 : 9
Step-by-step explanation:
GIVEN
20 girls tried out
18 boys tried out
----------------------------------------------
The final ratio should be girl to boy
girl to boy
=20 : 18
=10 : 9 ⇔ divide 2 on both sides (simplify the ratio)
Hope this helps!! :)
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Answer:
The answer is A
Step-by-step explanation:
