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lubasha [3.4K]
3 years ago
9

The graphs of the equations Ax + By =15 and Ax - By =9 intersect at (2, 1). Find A and B. Show or explain your reasoning

Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0
Hi here’s the answers hope this helps

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Rationalize the denominator 2√7+√3/3√7-√3​
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Answer:

\frac{2 \sqrt{7}  + \sqrt{3}}{3 \sqrt{7} -  \sqrt{3}  }  =  \frac{2 \sqrt{7}  + \sqrt{3}}{3 \sqrt{7}  -  \sqrt{3} } . \frac{3 \sqrt{7} +  \sqrt{3}  }{3 \sqrt{7} +  \sqrt{3}  }  \\  \\  =  \frac{(2 \sqrt{7} + 3)(3 \sqrt{7}  +  \sqrt{3})  }{(3 \sqrt{7}  - 3)(3 \sqrt{7} +  \sqrt{3} ) }  \\  \\  =  \frac{(42 + 2 \sqrt{21} + 9 \sqrt{21}   + 3 \sqrt{21} )}{63 - 3}  \\  \\  =  \frac{42 +  2\sqrt{21}  + 9 \sqrt{21} + 3 \sqrt{21}  }{60}

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3 years ago
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Citrus2011 [14]

Answer:

Step-by-step explanation:

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3 years ago
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What fraction is greater than 0.7 but less than 0.71
alexgriva [62]
Are there any answer choices because this question has multiple answers.

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3 years ago
The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal with a mean of 16.12 OZ and a
elena-14-01-66 [18.8K]

Answer: 90.82%

Step-by-step explanation:

Given : The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal .

Mean : \mu=16.12\text{ OZ}

Standard deviation: \sigma=0.09\text{ OZ}

Let X be the random variable that represents the amount of soda in bottles.

Formula for z-score : z=\dfrac{x-\mu}{\sigma}

Z-score for 16 oz: z=\dfrac{16-16.12}{0.09}=-1.33

Using the standard normal z-distribution table , the probability that the soda bottles that contain more than the 16 OZ is given by :_

P(x>60)=P(z>-1.33)=1-P(x\leq-1.33)=1-0.0917591=0.9082409\approx0.9082\approx90.82\%

Hence, the percentage of the soda bottles that contain more than the 16 OZ advertised is 90.82% .

8 0
4 years ago
During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $5. There is a state sales tax of 5%, an
ser-zykov [4K]
A) d = r - 5 where t is the full price 
<span>b) p = ( r - 5 ) * 1.05 </span>
<span>c) p = (15.5-5)*1.05 = 10.5 * 1.05 = $ 11.02</span>
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3 years ago
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