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anonymous
 one year ago
The graph below represents which system of inequalities?
y less than or greater to 2x + 3
y less than or greater to x + 3
y greater than or equal to 2x + 3
y greater than or equal to x + 3
y less than or greater to 3x + 2
y less than or greater to x + 2
y > 2x + 3
y > x + 3
anonymous
 one year ago
The graph below represents which system of inequalities? y less than or greater to 2x + 3 y less than or greater to x + 3 y greater than or equal to 2x + 3 y greater than or equal to x + 3 y less than or greater to 3x + 2 y less than or greater to x + 2 y > 2x + 3 y > x + 3

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Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1hint: ignore the green and yellow for now, just focus on the two black lines write the equations for the lines in point intercept form

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443914795869:dw lets focus on one line at a time. what is the equation of this line?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443914881362:dw write the equation for this line please

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1nope first find the slope of the graph

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1(x1,y1) = (3,0) (x2,y2) = (0,3) slope = m = (y2y1)/(x2x1) = ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(03) and 30 @Vocaloid

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1keep going (03)/(30) = ?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1good, so our slope is 1 now find the yintercept

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1good, so our equation is y = x + 3 now write an equation for the other line

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1look at the graph and pick two points on the line on the right

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443916158259:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ill i can see is 3/ 1.5

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1two points are (0,3) and (2,1) now calculate the slope between them

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0slope = (y2  y1) / (x2  x1) (0,3)....x1 = 0 and y1 = 3 (2,1)....x2 = 2 and y2 = 1 now we sub slope(m) = (1  3) / (2  0) slope(m) = 4/2 slope(m) = 2 now we use y = mx + b slope(m) = 2 use either of your sets of points....(0,3)...x = 0 and y = 3 now we sub into the formula to solve for b, the y intercept 3 = 2(0) + b 3 = b so the equation for that line is : y = 2x + 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now take your 2 lines... y = x + 3 and y = 2x + 3 notice that both lines are solid...this means they both contain equal signs. notice that both lines are shaded below the line....this means that both lines are less then <. so the inequalities that match the graph are : y <= x + 3 and y <= 2x + 3

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0This is how you solve this quickly since we are given choices. 1. Both lines are solid; that means either >= or <=, but not > or <. 2. Both lines have the shaded area under the solid line. That means y <= ax + b. 3. Both lines have yintercepts of 3. That means both inequalities are of the form y <= ax + 3 The only set of inequalities that satisfies all conditions above is choice A. Of course, this is assuming that where you wrote "less than or greater to" you really meant "less than or equal to."
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