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2 years ago

What is the leading coefficient of the polynomial function? y=-x^4+4x^2

Mathematics

1 answer:

attashe74 [19]2 years ago

6 0

<h3>Answer: -1</h3>

Explanation:

The given equation is the same as y = -1x^4+4x^2

The leading term is the term with the largest exponent, so it's -1x^4

The leading coefficient is the coefficient of the leading term.

In short, we circle the first coefficient we see. This is assuming that the polynomial is in standard form where the exponents decrease when going from left to right.

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4 years ago

Suppose S and T are mutually exclusive events. Find P(S or T) if P(S) = 8/9 and P(T) = 1/10.

blsea [12.9K]

Answer:

$\textbf{$P(S \cap T) = \frac{89}{90}$ }\\$

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$\textup{Mutually events are events that cannot occur at the same time.}\\\textup{When you toss a coin you get only $head$ or only $tail$ but never both.}\\ \textup{In mathematical terms $P(A) \cup P(B) = 0$, where $A$ and $B$ are mutually exclusive events. }\\\textup{We know the formula:}\\$$ P(A \cup B) = P(A) + P(B) - P(A \cup B) $$\\\textup{When $A$ and $B$ are mutually exclusive, it will simply be:}\\$$ P(A \cup B) = P(A) + P(B) $$\\\textup{Now given:}\\ $P(S) = 8/9$ , $P(T) = 1/10$\\$

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