(08.01)consider the following system of equations:
y = −x + 2
y = 3x + 1
which description best describes the solution to the system of equations?
line y = −x + 2 intersects line y = 3x + 1.
lines y = −x + 2 and y = 3x + 1 intersect the x-axis.
lines y = −x + 2 and y = 3x + 1 intersect the y-axis.
line y = −x + 2 intersects the origin.

Line y = −x + 2 intersects line y = 3x + 1

Step-by-step explanation:

we have

y=-x+2 > equation A

y=3x+1 > equation B

we know that

The solution of the system of equations is the intersection point both graphs

The slope of Line A (m=-1) is different to the slope of Line B (m=3)

so

The system of equations A and B has only one solution

This is a consistent independent system  

therefore

The description that best describes the solution  to the system of equations is

Line y = −x + 2 intersects line y = 3x + 1

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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3; 9 is 8 to -4

step-by-step explanation: