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noname [10]
2 years ago
9

Help please 5x-2y=-10

Mathematics
1 answer:
Lena [83]2 years ago
6 0

Answer:

5x - 2y =  - 10 \\ 5x =  - 10 + 2y  \\  x =  \frac{ - 10 + 2y}{5}  \\  \\

when y=0,-5,5,-10,10

then x=-2,-4,0,-6,2

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If Suzannah's budget limit is $10 per month, how many text messages can she send in one month?
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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
1. Consider f(x) = 3x - 5
Rzqust [24]

Answer:

3

Step-by-step explanation:

Here we have the function

f(x)=3x-5

We want to find the following ratio:

\frac{f(x+h)-f(x)}{h}

Note that the limit of this for h\rightarrow 0 is equivalent to the derivative of the function.

Here we have:

f(x+h)=3(x+h)-5=3x+3h-5

And

f(x)=3x-5

Therefore we have

f(x+h)-f(x)=3x+3h-5-(3x-5)=3h

And therefore,

\frac{f(x+h)-f(x)}{h}=\frac{3h}{h}=3

4 0
3 years ago
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
-4x + 7 is greater than or equal to 83<br> (sorry, i couldn't get the sign for it)
bezimeni [28]

Answer:

-19

Step-by-step explanation:

you first substract 7 from 83 since its the inverse operation

then you divide it by -4 which give you -19

4 0
2 years ago
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