Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail. 4x+3y≥12

The strategy is to find the x and y intercept of the given equation

Step-by-step explanation:

4x+3y≥12

In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;

x-intercept occurs at where y = 0

when y  = 0

4x + 3(0)≥12

4x ≥12

x ≥12/4

x≥ 3

Also y intercept occurs at where x = 0

4x+3y≥12

4(0)+ 3y ≥12

3y≥12

y≥12/3

y≥4

Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation

step-by-step explanation:

i need to answer questions so i dont know but i think its the first one because it goes up but a consent rate

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.

read more on -