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podryga [215]
3 years ago
8

5.Find the equation of the line: through: (0, -3) and (-1,-5)

Mathematics
1 answer:
katovenus [111]3 years ago
3 0

Answer:

y=2x-3

Step-by-step explanation:

First, find slope of the line.

You can do this by: -5-(-3)/-1-0

This simplifies to 2. So, slope is equal to 2.

y-intercept is already given, (0,-3).

So, equation is y=2x-3

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<u>Answer:</u>

225 ft²

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Drag and drop the answer into the box to identify each function as linear, exponential, or neither.
katrin2010 [14]
<span>​x​ 2 3 4
f(x) 5.5 7 8.5 </span>

The first function is linear. When you subtract 5.5 from 7, you get 1.5 and when you subtract 7 from 8.5 you also get 1.5. That's how we know it's a linear function because there's clearly pattern. HOWEVER, if you had 5.5, 7, and 9 that would not be a linear function. Why? Because when you take away 7 from 9 you get 2. In order for it to be a linear function you have to get the same exact number when you subtract. 

<span>x​ 0 3 6
f(x) 1 8 64</span> 

The second function is exponential because when you divide you get the exact same number. 8/1 = 8 and 64/8 = 8. So this is exponential. But if you had 72 instead of 64 it would not be an exponential function because there has to be a pattern. 

I hope this makes sense. Btw I had this question on my test too and this is correct. 
4 0
3 years ago
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3 years ago
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Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3
dezoksy [38]

Answer:

Step-by-step explanation:

4/x + 4/(x²-9) = 3/(x - 3) 

4 / x + 4 / [( x - 3) ( x + 3 )] = 3 / ( x - 3 )  / * x ( x - 3 ) ( x + 3 )

Restrictions : x ≠ 0,  x ≠ - 3 ,  x ≠ 3;

4 ( x + 3 ) ( x - 3 ) + 4 x = 3 x ( x + 3 )

4 ( x² - 9 ) + 4 x = 3 x² + 9 x

4 x² - 36 + 4 x - 3 x² - 9 x = 0

x² - 5 x - 36 = 0

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x - 9 = 0,  or : x + 4 = 0

Answer:

x = 9,  x = - 4

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4 years ago
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