Solve the following system of equations graphically on the set of axes below.

Mathematics

1 answer:

professor190 [17]4 years ago

6 0

The solution of the given equations is: (-1.5, 1.5)

Step-by-step explanation:

Linear equation usually represents a straight line. When a system of two liner equations is given, the point of intersection of lines represented by both equations is the solution of the system of equations.

We will plot the lines of both equations and find their point of intersection (Picture Attached)

We can see in the picture that two lines intersect at (-1.5, 1.5)

Hence,

The solution of the given equations is: (-1.5, 1.5)

Keywords: Linear equations, variables

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Consider a nine -year moving average used to smooth a time series that was first recorded in 1961. a. Which year serves as the f

kirill [66]

Answer:

a. 1965

b. 8 years

Step-by-step explanation:

For answers to questions like these it can work to consider the smallest possible dataset.

<h3>Dataset</h3>

For our purpose, consider the 9 years/values to be averaged to be ...

1, 2, 3, 4, 5, 6, 7, 8 ,9

<h3>Observations</h3>

a. The center value of the data set is 5. Its number is 5-1=4 more than the first one.

The first centered value is from the year 1961 +4 = 1965.

b. The 4 values at the beginning, and the 4 values at the end do not have a corresponding "average" value. That is, 4+4 = 8 values in the series are lost with respect to the number of average values.

8 years of values are lost.

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2 years ago

Solve the equation then check your solution 5p=140 <br> A)28<br> B)700<br> C)-28<br> D)26

Kruka [31]

Answer:

p=28

Step-by-step explanation:

5p=140

To to find the value of p divide both sides by 5 (5p/5 and 140/5)

p=28!

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