The solution to the system of inequalities is (-3.375, 1.75)
<h3>How to graph the inequalities?</h3>
The system of inequalities is given as:
3y > 2x+12
2x+y < -5
Next, we plot the graph of the system using a graphing tool
From the graph, both inequalities intersect at
(-3.375, 1.75)
Hence, the solution to the system of inequalities is (-3.375, 1.75)
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<span>sum of the interior angles of a polygon = (n - 2) x 180
</span>hexagon has 6 sides , in this case n = 6
so
(6-2) x 180
= 4 x 180
= 720
answer
<span>c. 720</span>
<span>Simplifying
3x2 + -6x + c = 0
Reorder the terms:
c + -6x + 3x2 = 0
Solving
c + -6x + 3x2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '6x' to each side of the equation.
c + -6x + 6x + 3x2 = 0 + 6x
Combine like terms: -6x + 6x = 0
c + 0 + 3x2 = 0 + 6x
c + 3x2 = 0 + 6x
Remove the zero:
c + 3x2 = 6x
Add '-3x2' to each side of the equation.
c + 3x2 + -3x2 = 6x + -3x2
Combine like terms: 3x2 + -3x2 = 0
c + 0 = 6x + -3x2
c = 6x + -3x2
Simplifying
c = 6x + -3x<span>2</span></span>
Answer:
The negative x-intercept is at (-1/3,0)
The positive x-intercept is at (4,0)
Step-by-step explanation: