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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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suter [353]

Answer:

The carpenter used 2 7/4 feet of plank for the shelf

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

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10 1/2 = 4 1/4 + 3 2/3 + x

Change the fractions

21/2 = 17/4 + 11/3 + x

Add 17/4 + 11/3

21/2 =51+44/12 + x

21/2= 95/12 + x

Collect like terms

21/2 - 95/12 =x

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Therefore, the carpenter used 2 7/4 feet of plank for the shelf

Answer:

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

For Deck board=4 1/4

Step=3 2/3

Shelf=x

Total plank=deck board + step + shelf

10 1/2 = 4 1/4 + 3 2/3 + x

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Answer:

See below

Step-by-step explanation:

If an expression is not dependent on x, it simplified form must not contain x. To show that this is the case for (a) and (b) we need to simplify them and assess:

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And (b)

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Step-by-step explanation:

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<em>Let x = the total number of seedlings</em>

<em />15\%\ of\ x=87\\\\x=\dfrac{87\times 100}{15}\\\\x=580

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b_n=2n

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