The bar graph shows the number of contracts Company X gained each year from 2002 to 2006. Over which of the periods was the aver
age rate of increase for number of Contracts for Company X the smallest?
A) From 2002 through 2003
B) From 2002 through 2004
C) From 2004 through 2005
D) From 2004 through 2006
A) From 2002 through 2003
B) From 2002 through 2004
C) From 2004 through 2005
D) From 2004 through 2006
1 answer:
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gradient of L = -7/4
Explanation:
<u>Insert the following values.</u>
Explanation:
The solution set for a system of equation is the set of points where the graphs of the equations intersect.
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<h3>general case</h3>A system will have <em>one solution</em> if there is a <em>single point of intersection</em> of the graphs of the equations.
A system will have <em>no solutions</em> if the graphs have <em>no points of intersection</em>.
A system will have an <em>infinite</em> number of <em>solutions</em> if the graphs <em>intersect at an infinite number of points</em>.
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<h3>linear equations</h3>When the equations are linear equations, their graphs are straight lines. If the lines have different slopes, they must intersect at exactly one point: there will be one solution.
If the lines have the same slope, there are two possibilities:
- the lines are parallel -- no solutions
- the lines are coincident -- infinite solutions
The attached graph illustrates these cases.
- the red and blue lines are the graphs of a system of equations with one solution. Those lines have different slopes
- the blue and green lines are the graphs of a system of equations with no solution. Those lines are parallel.
- The red and (dotted) purple lines are the graphs of a system of equations with infinite solutions. Those lines are coincident.
