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3 years ago

Solve the system of equations Please If you could solve this it would honestly mean so much! Thank you!

Mathematics

1 answer:

Kay [80]3 years ago

4 0

Answer:

(2, 8)

Step-by-step explanation:

There are a couple of different ways to do this, but I am going to use substitution since we already have one of those equations solved for y. If y=3x+2, then we can sub 3x+2 in for y in the other equation:

-3x + 2(3x + 2) = 10 and

-3x + 6x + 4 = 10 and

3x + 4 = 10 and

3x = 6 so

x = 2. Now that we know x = 2, we can sub a 2 in for x in either equation to solve for y:

y = 3x + 2 gives us, with the substitution, y = 3(2) + 2 so y = 8. The solution set is (2, 8)

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The answer is 6.7

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2 years ago

How many solutions does the system of equations below have?

lina2011 [118]

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3 years ago

A rectangle is 20 meters long and 20 meters wide. If the length is increased by 10% and the width is decreased by 10%, what is t

Solnce55 [7]

Consider that the initial length and width of the rectangle are given as,

$\begin{gathered} l=20 \\ b=20 \end{gathered}$

After the length is increased by 10%, the new length (L) of the rectangle is calculated as,

$\begin{gathered} L=(1+\frac{10}{100})\cdot l \\ L=(\frac{110}{100})\cdot20 \\ L=22 \end{gathered}$

After the width is decreased by 10%, the new width (B) of the rectangle is calculated as,

$\begin{gathered} B=(1-\frac{10}{100})\cdot b \\ B=(\frac{90}{100})\cdot20 \\ B=18 \end{gathered}$

Then the area (A) of the new rectangle is calculated as,

$\begin{gathered} A=L\times B \\ A=22\times18 \\ A=396 \end{gathered}$

Thus, the new area of the rectangle is 396 square meters.

7 0

1 year ago

Helppppppppppp help help help help help help help

nasty-shy [4]

2 by 7 + – is equals to 1 so we can say that x.

x=1-2/7

x=7/7-2/7

x=5/7

4 0

3 years ago

Which set of numbers has the largest variance?

trasher [3.6K]

Answer:

1) (1,3,4.7)

2) 6.8

3) the square root of the variance

4) has the same units as the underlying data

5) It has predictive power.

Step-by-step explanation:

From question one, it is possible to use an excel formula to calculate the variance of the set of numbers.

Now, to calculate the variance in an Excel sheet:

Make sure your data is in a single range of cells in Excel.

If your data represents the entire population, enter the formula as "=VAR. P(A1:A4). Since, we were given four variables

The variance for your data will be displayed in the cell.

i.e for set of numbers (7, 8, 9, 10)

variance = (VAR. P(A1:A4))

= 1.25

for set of numbers (1, 3, 4, 7)

variance = (VAR. P(A1:A4))

= 4.69

for set of numbers (4,2,1, 0)

variance = (VAR. P(A1:A4))

= 2.19

for set of numbers (1, 0, 2, 4)

variance = (VAR. P(A1:A4))

= 2.19

The set of numbers (1,3,4.7) indicates the largest variance from the foregoing.

2) What is the population variance of the following set of numbers: 3, 5, 8, 9, 10?

Using the same method explained in question 1, the population variance of the following set of numbers 3,5,8,9,10 can be calculated as:

For the set of numbers (3, 5, 8, 9, 10)

Variance = (VAR. P(A1:A5)) since it contains five sets.

= 6.8

3) Variance can be defined as the average of the squared differences from the Mean. Therefore, Standard deviation is the square root of the variance which is given as:

$S= \sqrt{\frac{E^N_i(x_i-x)}{N-1} }$

where;

s = sample standard deviation

N = the number of observations

$x_i$ = the observed values of a sample item.

x= the mean value of the observations

4) Standard deviation is useful because it has the same units as the underlying data

5) Of all the characteristics of Standard deviation when relating to finance, Standard deviation do not possess predictive power.

3 0

3 years ago