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Yuki888 [10]
3 years ago
15

The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.

Mathematics
2 answers:
sertanlavr [38]3 years ago
8 0
Yes the statement is true.
irakobra [83]3 years ago
5 0

Answer:

True

Step-by-step explanation:

Given: 9x^2-30x+25

We have to write the given polynomial in perfect square nominal.

A^2-2AB+B^2

We can factor it like

A^2-2AB+B^2=(A-B)^2

It is perfect square trinomial.

9x^2-30x+25

We have to make perfect square first and last term.

9x^2\rightarrow (3x)^2\rightarrow A

25\rightarrow 5^2\rightarrow B

9x^2-30x+25\Rightarrow (3x)^2-2\cdot 3x\cdot 5+5^2

Hence, The given polynomial is in perfect square trinomial.

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A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after th
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Step-by-step explanation:

We are given the following information in the question:

f(x) = kx^2, 0\leq x \leq 2\\~~~~~~~= 0, \text{ otherwise}

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4 0
2 years ago
These both go together
Airida [17]

a) We know that the probability Jane will win is 0.2, and draws is 0.3, which leaves the probability of her losing to be 0.5 (1 - 0.2 - 0.3 = 0.5).

I'll begin by filling in for the first game:

win = 0.2, draw = 0.3, lose = 0.5

Next, we'll fill in for if she wins, draws, or loses the second game. The probabilities would be the same as the first game for the second game.

Win (0.2): win = 0.2, draw = 0.3, lose = 0.5

Draw (0.3): win = 0.2, draw = 0.3, lose = 0.5

Lose (0.5): win = 0.2, draw = 0.3, lose = 0.5

b) To find the probability that Jane will win both games, we need to multiply the probability of Jane winning the first game by the probability of her winning the second game.

0.2 x 0.2 = 0.04

Hope this helps! :)

6 0
3 years ago
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