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
Total cards = 3 + 5 = 8 cards.
5 are baseball, the fraction is number of baseball cards over the total number of cards = 5/8
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Answer:
88
Step-by-step explanation:
From the question:
The average of 10 numbers is 85.
We have to find the total sum for the 10 numbers
Hence: 10 × 85 = 850
If the numbers 70 and 76 are removed from the set of numbers.
This means 10 number is reduced by 2
= 10 - 2 = 8
The total sum of the 8 numbers is
= 850 - (70 + 76)
= 850 - 146
= 704
The average of the remaining numbers is calculated as:
Sum of the 8 numbers/8
= 704/8
= 88.
Therefore, the sum of the remaining numbers is 88
