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Yuki888 [10]
3 years ago
11

Which of the following statements best describes the graph of −5x + 2y = 1?

Mathematics
2 answers:
Nina [5.8K]3 years ago
5 0

First, we determine that the given equation in this item is a linear equation. Thus, it should be a straight line. With this, we are left with the third and fourth choice. Then, we substitute the given data points to the equation and see if the points satisfy the given.

Choice 3:

<span>            (1,3)   :    (-5)(1) + (2)(3) = 1   TRUE</span>

<span>            (3,8)   :    (-5)(3) + 2(8) = 1      TRUE</span>

<span>            (-3,-7) :    (-5)(-3) + (2)(-7) = 1 TRUE</span>

 

Choice 4:

<span>            (4,-3)  :  (-5)(4) + (2)(-3) ≠ 1     FALSE</span>

<span>            (-1,2)   : (-5)(-1) + (2)(2) ≠ 1     FALSE</span>

<span>            (-4,5)   : (-5)(-4) + (2)(5) ≠ 1    FALSE</span>

 

<span>Thus, the answer is the third choice.</span>

pshichka [43]3 years ago
3 0

Answer:

It is a straight line joining the points (1, 3), (3, 8), and (−3, −7).

Step-by-step explanation:

because I used a website called Desmos, and the line was not curved, but it was a straight line and the Point of each of these answers that it touched was (1,3), (3,8), and (-3,-7)

I hope that this helps you.

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Answer:

The standard deviation of the given data is 11.34.

Step-by-step explanation:

We have to find the standard deviation for the given data;

Grade on     No. of students          

 test (X)        with that score (f)        X \times f       ( X - \bar X)^{2}        f \times ( X - \bar X)^{2}

     50                  1                       50      1073.218      1073.2176

     57                 2                       114      663.578      1327.1552

     60                 4                       240       518.018     2072.0704

     65                 3                       195       315.418      946.2528

     72                 3                       216        115.778       347.3328

     75                12                       900        60.218       722.6112

     77                10                       770        33.178       331.776

     81                 6                       486        3.098       18.5856

     83                 6                       498        0.058        0.3456

     88                9                       792        27.458      247.1184

     90                12                      1080        52.418      629.0112

     92                12                       1104        85.378     1024.5312

     95                 2                        190        149.818      299.6352

     99                 4                        396        263.738     1054.9504

    100          <u>       5   </u>                 <u>    500    </u>     297.218   <u>   1486.088     </u>

   Total             <u>      91       </u>                <u>    7531     </u>                       <u>    11580.68    </u>

Firstly, the mean of the above data is given by;

            Mean, \bar X  =  \frac{\sum X \times f}{\sum f}

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Now, the standard deviation of the data is given by;

          Standard deviation, S.D.  =  \sqrt{\frac{\sum f(X-\bar X)^{2} }{\sum f-1}}

                                                     =  \sqrt{\frac{11580.68}{91-1}}

                                                     =  11.34

Hence, the standard deviation of the given data is 11.34.

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Answer:

Step-by-step explanation:

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If the length of a bridge on a map is 1.5 cm,then the actual length= 1.5 * 40000

= 60000.0 = 60,000 m

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3 years ago
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N76 [4]
Answer: 0.04
Explanation:
Divide 1 by 25 and you’ll get 0.04
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2 years ago
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