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vampirchik [111]
3 years ago
10

Which linear function represents the line given by the point-slope equation y + 7 = –(x + 6)?f(x) = –2/3x – 11f(x) = –2/3x – 1f(

x) = –2/3x + 3f(x) = –2/3x + 13
Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0

We need to find the linear function represents the line given by the point-slope equation.

Given options:

y + 7 = –(x + 6).

f(x) = –2/3x – 11.

f(x) = –2/3x – 1.

f(x) = –2/3x + 3.

f(x) = –2/3x + 13.

Point -slope form of the linear equation is in the form y-y1 = m(x - x1).

Where (x1, y1) is given point and m is the slope.

In the given options we have first option y + 7 = –(x + 6).

And it could be written as y-(-7) = -1(x-(-6))

We can see point (x1,y1) = (-7,-6) and slope m= -1.

<h3>Therefore, first option  y + 7 = –(x + 6) is correct option.</h3>
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Answer:

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(b)

i.

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Solving (a): List all possible elements using set-roster notation.

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S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

And the number of elements are:

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Solving (bi) Exactly 1 girl

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And the number of the list is;

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The probability is calculated as;

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Solving (bi) At least 2 are girls

From the list of possible elements, we have:

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

And the number of the list is;

n(Atleast\ 2 \ girls) = 4

The probability is calculated as;

P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}

P(Atleast\ 2 \ girls) = \frac{4}{8}

P(Atleast\ 2 \ girls) = 0.5

Solving (biii) No girl

From the list of possible elements, we have:

No\ girl = \{BBB\}

And the number of the list is;

n(No\ girl) = 1

The probability is calculated as;

P(No\ girl) = \frac{n(No\ girl)}{n(S)}

P(No\ girl) = \frac{1}{8}

P(No\ girl) = 0.125

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