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hichkok12 [17]
4 years ago
5

What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?

Mathematics
2 answers:
hjlf4 years ago
6 0
The x-intercepts occur when f(x)=0

x^2+4x-12=0  factor

x^2-2x+6x-12=0

x(x-2)+6(x-2)=0

(x+6)(x-2)=0

x=-6 and 2  or specifically the points (-6,0) and (2, 0)
sukhopar [10]4 years ago
3 0

(x+6)(x-2)

x=2 and x=-6.

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Step-by-step explanation:

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AlekseyPX

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37% of women consider themselves fans of professional baseball. you randomly select six women and ask each if she considers hers
valina [46]

Answer:

(a) 2.22

(b) 1.3986

(c) 1.183

Step-by-step explanation:

Let <em>X</em> denote the number of women who consider themselves fans of professional baseball.

The proportion of women who consider themselves fans of professional baseball is, <em>p</em> = 0.37.

A random sample of <em>n</em> = 6 women are selected and each was asked if she considers herself a fan of professional baseball.

Each woman's reply is independent of the others.

The random variable <em>X</em> thus follows a binomial distribution with parameters <em>n</em> = 6 and <em>p</em> = 0.37.

(a)

Compute the mean of the binomial distribution as follows:

\text{Mean}=np=6\times 0.37=2.22

(b)

Compute the variance of the binomial distribution as follows:

\text{Variance}=np(1-p)=6\times 0.37\times (1-0.37)=1.3986

(c)

Compute the standard deviation of the binomial distribution as follows:

\text{Standard Deviation}=\sqrt{np(1-p)}=\sqrt{6\times 0.37\times (1-0.37)}=1.183

5 0
3 years ago
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asambeis [7]
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Which polynomial represents the difference 6x2+3x-8 and x2-3x+4
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The difference will be
6x^2+3x-8 - (x^2-3x+4) \\ =&#10;6x^2-3x-8-x^2+3x-4 \\ =&#10;5x^2 -12.
Remember that parentheses are needed for the second polynomial because the negative is distributed to all of its terms.

6 0
4 years ago
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