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Marysya12 [62]
3 years ago
8

What is the sum of two solutions of the quadratic equation ax^2+bx+c=0

Mathematics
2 answers:
Blababa [14]3 years ago
8 0

if we were to use the quadratic formula, we would get that the roots are

\frac{-b\pm\sqrt{b^2-4ac}}{2a}

or that the 2 seperate roots are

\frac{-b+\sqrt{b^2-4ac}}{2a} and \frac{-b-\sqrt{b^2-4ac}}{2a}

if we sum these, then the \sqrt{b^2-4ac} bits will cancel and we wil be left with

\frac{-b-b}{2a} or \frac{-2b}{2a} or \frac{-b}{a}


the sum of the solutions is \frac{-b}{a}

Verdich [7]3 years ago
5 0

Try this option:

According to the properties of the quadratic equation the sum of its roots is '-b', in other words x₁+x₂= -b

Answer: -b

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Maths!
Ber [7]

Answer:

(1) Variance = 4.5 and Standard deviation = 2.121.

(2) Variance = 4.5 and Standard deviation = 2.121.

(3) The effect on the measure of dispersion if each value is changed uniformly ​is that it remains unchanged.

Step-by-step explanation:

We are given with the following set of data below;

              X                     X-\bar X                   (X-\bar X)^{2}

              5                   5 - 8 = -3                     9

              5                   5 - 8 = -3                     9

              8                   8 - 8 = 0                      0

             10                  10 - 8 = 2                     4

             10                  10 - 8 = 2                     4

             10                  10 - 8 = 2                     4

              9                   9 - 8 = 1                       1

              9                   9 - 8 = 1                       1

         <u>     6     </u>              6 - 8 = -2             <u>        4       </u>          

Total <u>    72     </u>                                         <u>       36       </u>

<u>Firstly, the mean of the above data is given by;</u>

              Mean, \bar X  =  \frac{\sum X}{n}

                              =  \frac{72}{9}  = 8

(1)Now, the variance of the given data is;

            Variance  =  \frac{\sum (X-\bar X)^{2} }{n-1}

                                  =  \frac{36}{9-1}  = 4.5

So, the standard deviation, (S.D.)  =  \sqrt{\text{Variance}}

                                                        =  \sqrt{4.5} = 2.12

(2) Now, each value is added by 2; so the new data set is given by;

              X                     X-\bar X                   (X-\bar X)^{2}

              7                   7 - 10 = -3                     9

              7                   7 - 10 = -3                     9

             10                  10 - 10 = 0                     0

             12                  12 - 10 = 2                     4

             12                  12 - 10 = 2                     4

             12                  12 - 10 = 2                     4

              11                  11 - 10 = 1                       1

              11                  11 - 10 = 1                       1

         <u>     8     </u>              8 - 10 = -2             <u>        4       </u>          

Total <u>    90     </u>                                         <u>       36       </u>

<u>Firstly, the mean of the above data is given by;</u>

              Mean, \bar X  =  \frac{\sum X}{n}

                              =  \frac{90}{9}  = 10

(1)Now, the variance of the given data is;

            Variance  =  \frac{\sum (X-\bar X)^{2} }{n-1}

                                  =  \frac{36}{9-1}  = 4.5

So, the new standard deviation, (S.D.)  =  \sqrt{\text{Variance}}

                                                                =  \sqrt{4.5} = 2.12

(3) The effect on the measure of dispersion if each value is changed uniformly ​is that it remains unchanged as we see in the case of variance or standard deviation.

4 0
3 years ago
Find the volume of the cylinder when it is 70% full. Use 3.14 for PI and round to the whole number. height 13 radius 7
artcher [175]

Answer:

= 2001.19452

Step-by-step explanation:

V=πr2h=π·72·13≈2001.19452

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Gail is 6 years younger than Mark.Let m= Mark’s age which expression equals Gail’s age?
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The answer is C M-6
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Please help with these question, giving brainliest :)
garri49 [273]

Answer:

Step-by-step explanation:

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Danielle plotted 3 points from the equation y = 4x on this coordinate grid. She drew a straight line through the points. Which o
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3... y= 4x means 3x4=12
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