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Mila [183]
2 years ago
8

Find the solution to the system of equations below (you can do this by substitution or elimination).

Mathematics
1 answer:
rewona [7]2 years ago
8 0

Step-by-step explanation:

y=6+4x, as equation (iii)

=> -5x-(6+4x)=21

=> -5x-6-4x=21

=> -5x-4x-6=21

=> -9x-6=21

=> -9x=21+6

=> -9x=27

x= -3, by dividing both sides by -9

So, by inserting x in the first equation,

=> -4(-3)+y=6

=> 12+y=6

=> y=6-12

=> y= -6.

Therefore, x= -3 and y= -6

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The following are the last 7 days adjusted closing stock prices (in $) for Citigroup: 22, 25, 20, 15, 40, 55, 28 A) Compute the
son4ous [18]

Answer:

(A) The 25th percentile is 20.

(B) The mean of the data set is 20 and the median of the data set is 25. The data set is left-skewed.

Step-by-step explanation:

The data set arranged in ascending order is:

S = {15, 20, 22, 25, 28, 40, 55}

(A)

Compute the 25th percentile as follows:

25^{th} \text{Percentile}=[\frac{n+1}{4}]^{th}obs.\\\\=[\frac{7+1}{4}]^{th}obs.\\\\=2^{nd}obs.\\\\=20

Thus, the 25th percentile is 20. This value implies that exactly 25% of the observations are less than 20.

(B)

Compute the sample mean as follows:

\text{Mean}=\frac{22+25+20+15+40+55+28}{7}=\frac{205}{7}=29.29

Compute the median as follows:

For a set with odd number of observations, the median value if the middle value.

The middle value is 25.

Thus, the mean of the data set is 20 and the median of the data set is 25.

The Mean < Median.

This implies that the data set is left-skewed.

4 0
3 years ago
point O lies between points M and P on a line. OM = 34z and OP = 36z -7. if point N is the midpoint of MP, what algebraic can yo
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N=1/2MP? Since n would be the midpoint you have to divide the segment into two.
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3 years ago
How many terms are in 3x+8y ?
Fofino [41]

Answer: 2

Step-by-step explanation:

7 0
2 years ago
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Find: (6m5 3 â€"" m3 â€"" 4m) â€"" (â€""m5 2m3 â€"" 4m 6) Write subtraction of a polynomial expression as addition of the additi
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The subtraction in the standard form of the polynomial is \rm 7m^5-3m^2-3.

Given that

Expression; \rm (6m^5 + 3 - m^3 -4m) -(-m^5 + 2m^3 - 4m + 6).

We have to determine

The subtraction of a polynomial.

According to the question

Expression; \rm (6m^5 + 3 - m^3 -4m) -(-m^5 + 2m^3 - 4m + 6).

To find the subtraction of the polynomial follow all the steps given below.

  • Step1; Write the expression as an additive inverse.

                   \rm (6m^5 + 3 - m^3 -4m) -(-m^5 + 2m^3 - 4m + 6)\\\\\rm (6m^5 + 3 - m^3 -4m) +(m^5 -2m^3 +4m - 6)

  • Step2; Rewrite terms that are subtracted as the addition of the opposite.

        \rm (6m^5 + 3 - m^3 -4m) +(m^5 -2m^3 +4m - 6)\\\\6m^5 + 3 + (-m^3) + (-4m) + m^5 + (2m^3) + 4m + (-6)

  • Step3; Group-like terms.

                   \rm 6m^5 + 3 + (-m^3) + (-4m) + m^5 + (2m^3) + 4m + (-6)\\\\(6m^5 + m^5) + [3 + (-6)] + [(-m^3) + (-2m^3)] + [(-4m) + 4m]\\\\

  • Step4; the resulting polynomial in standard form is,

                    \rm (6m^5 + m^5) + [3 + (-6)] + [(-m^3) + (-2m^3)] + [(-4m) + 4m]\\\\ 7m^5-3m^2-3

                   

Hence, the subtraction in the standard form of the polynomial is \rm 7m^5-3m^2-3.

To know more about Polynomial click the link given below.

brainly.com/question/26078031

                   

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