The number of space shuttle launches for selected years is given by the ordered pairs. Let x represent the number of years since 1995. Let y represent the number of launches. ( 1 , 7 ) ( 2 , 8 ) ( 3 , 5 ) ( 4 , 3 ) ( 5 , 5 ) ( 6 , 6 ) ( 7 , 5 ) ( 8 , 1 ) a. Interpret the meaning of the ordered pair ( 8 , 1 ) . b. Plot the points on a rectangular coordinate system .
The number of space shuttle launches for selected years is given by the ordered pairs. Let x represent the number of years since 1995. Let y represent the number of launches. ( 1 , 7 ) ( 2 , 8 ) ( 3 , 5 ) ( 4 , 3 ) ( 5 , 5 ) ( 6 , 6 ) ( 7 , 5 ) ( 8 , 1 ) a. Interpret the meaning of the ordered pair ( 8 , 1 ) . b. Plot the points on a rectangular coordinate system .
Solution Summary: The author explains that the ordered pair (8,1) corresponding to value 8 on the x axis means that one space shuttle is launched in 2003.
The number of space shuttle launches for selected years is given by the ordered pairs. Let x represent the number of years since 1995. Let y represent the number of launches.
a. Interpret the meaning of the ordered pair
(
8
,
1
)
.
b. Plot the points on a rectangular coordinate system.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution.
Remember that:
A matrix is in row echelon form if
Any row that consists only of zeros is at the bottom of the matrix.
The first non-zero entry in each other row is 1. This entry is called aleading 1.
The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.
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