12x² - 3.5y + 10y + 1.5x² + y Combine like terms
13.5x² + 7.5y
I think it’s the last one
The graph that shows the solutions for the inequality, y > -1/3x + 1 is: C. Graph A.
<h3>How to Find the Graph of a Linear Inequality?</h3>
The inequality sign, ">" means that the graph of the inequality has a dashed line where the shaded part is above the boundary line and the boundary line is dashed or dotted. If "≥" is used, the boundary line would not be dashed or dotted and the shaded area would be above it.
On the other hand, "<" is used when the shaded area is below the boundary line and the boundary line is a dashed line. If "≤" was used, the boundary line won't be dashed or dotted, while the shaded area would be below the boundary line that is not dotted.
Given y > -1/3x + 1, the slope (m) = change in y / change in x is -1/3.
Graph A has a slope of -1/3 and the shaded part is above the boundary line.
Therefore, the graph that shows the solutions for y > -1/3x + 1 is: C. Graph A.
Learn more about inequality graph on:
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Answer:
Step-by-step explanation:
Equation of blue line:
blue line is parallel to y-axis
⇒ x = 5
Equation of green line:
Green line is parallel to x-axis.
y = 2
Equation of red line:
At y-intercept x = 0. Point on red line is (0,5)
So, y-intercept = 5
y = mx + b Here, m is slope any b is y-intercept.
y = mx + 5
Now, choose any other point in red line. ((1,7)
Substitute this value in the above equation and we can find m
7 = m*1 + 5
7 - 5 = m
m = 2
y = 2x + 5
Equation of black line:
Black line and red line are parallel and so, they have same slope.
y = 2x + b
y-intercept (0,-6) ; b = -6
y = 2x - 6
Probably 2561 but since area equal r^2 I thought it would be 3217
