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Vanyuwa [196]
3 years ago
7

What property justifies line 2 to line 3? 4 – 3x2 + 2x – x2 + 3 + x2 Line 1 4 + 3– x2 + x2 – 3x2 + 2x Line 2 7– x2 + x2 – 3x2 +

2x Line 3 7 + 0 – 3x2 + 2x Line 4 7 – 3x2 + 2x
Mathematics
1 answer:
podryga [215]3 years ago
8 0

Given:

The steps of simplification of the expression.

4-3x^2+2x-x^2+3+x^2

To find:

The properties to justify the line 2 and line 3.

Solution:

We have,

4-3x^2+2x-x^2+3+x^2

Line 1: 4+3-x^2+x^2-3x^2+2x        (Rearranging the terms)

Line 2: 7-x^2+x^2-3x^2+2x        (Combining the constant terms)

Line 3: 7+0-3x^2+2x        (Additive inverse property)

Line 4: 7-3x^2+2x        (Additive identity property)

Therefore, the justifications of Line 2 and Line 3 are combining the constant terms and additive inverse property respectively.

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umka21 [38]
First set up equation for Raj, which is 10x + .5, .5 is the y-intercept because he got a head start of .5 hours
Ruth, 14x
10x + .5 = 14x
        - .5    -.5
10x          = 14x - .5
-14x           -14x
-4x  = -.5
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   x = .125 miles
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I hop this is right, and hope this helps
 
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4 years ago
YThe Pew Research Center conducted a survey of 1007 adults and found that 85% of them know what Twitter is. Find a 90% confidenc
goblinko [34]

Answer:

The 90% confidence interval is   0.8315 <  p < 0.8685

Step-by-step explanation:

From the question we are told that

   The sample size is n =  1007  

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From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p(1- \^ p)}{n}}

=>   E =1.645 * \sqrt{\frac{0.85 (1- 0.85 )}{1007}}

=>   E = 0.0185    

Generally 90% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>  0.85 -0.0185 <  p < 0.85 + 0.0185

=>  0.8315 <  p < 0.8685

6 0
3 years ago
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Answer:

The answer is 6.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Here's a completely valid trick for finding the equation of this new line:

Start with the given  2x + 4y = 6.  Replace that '6' with 'C.'  We need to find C.  To do this, replace x with 6 and y with 4 and calculate C:

2(6) + 4(4) = C, or 12 + 16 = C.  Thus, C = 28, and the desired equation is

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Step-by-step explanation:

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