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PilotLPTM [1.2K]
2 years ago
5

Jenna concludes that (4,9) is the solution to the system of these two equations. which of the following justifies her conclusion

?
A-the point (4,9) appears in both tables
B- only these two lines contain the point (4,9)
C-these two lines have the same rate of change
D-These two lines are perpendicular to each other
Mathematics
1 answer:
nalin [4]2 years ago
5 0

<u><em>Answer:</em></u>

a. The point (4,9) appears in both tables

<u><em>Explanation:</em></u>

<u>Note:</u> This question can be solved without the need of the tables

<u>A solution of a system of equations</u> is defined as a point (or set of points) that satisfy both equations

<u>This means that,</u> this point should belong to all the equations in the system

Now, a table is used to show a set of points that belong to a certain line

This means that, all vales in the table belong to the line they represent

<u>Since the point (4,9) appears in both tables</u>, therefore, it belongs to both lines and, therefore, is a solution to the system of equations consisting of these two lines

Hope this helps :)

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Answer:

For x∈ {-∞,-3} y<0, below x-axis

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Step-by-step explanation:

f(x)=2x^{3}-26x-24

2x^{3}-26x-24=0

2x^{3}-26x-24=0\\2x^{3}-2x-24x-24=0\\2x(x^{2} -1)-24(x+1)=0\\2x(x+1)(x-1)-24(x+1)=0\\(x+1)(2x^{2} -2x-24)=0\\=> x+1=0 => x_{1}=-1\\

=> 2x^{2} -2x-24=0\\=>2(x^{2} -x-12)=0\\=> x^{2} -x-12=0\\=> x^{2} -4x+3x-12=0\\=> x(x-4)+3(x-4)=0\\=> (x-4)(x+3)=0\\

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For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis



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