Answer:
The solutions 
are 
and the x-intercepts of 
are 
Step-by-step explanation:
Finding the solutions to 
means finding the roots, a root is where the function is equal to zero.
The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.
To find the roots you need to:
Rewrite the equation with 
and 
Solve by factoring
Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)
The solutions to the quadratic equation are:
Substitute back , solve for x
Apply the difference of squares formula
Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)
The solutions are:
Because two of the solutions are complex roots the only x-intercepts are
Answer:
D. Number line with shading everywhere
1. p>-3
2. p<6
Step-by-step explanation:
1. 4p+1>-11
<em>Subtract by 1 both sides of equation.</em>
<em>4p+1-1>-11+1</em>
<em>Simplify.</em>
<em>4p>-12</em>
<em>Divide by 4 from both sides of equation.</em>
<em>4p/4>-12/4</em>
<em>Simplify, to find the answer.</em>
<em>-12/4=-3</em>
<em>p>-3 is the correct answer.</em>
<em>____________________________</em>
<em>2. 6p+3<39</em>
<em>Subtract by 3 from both sides of equatoin.</em>
<em>6p+3-3<39-3</em>
<em>Simplify.</em>
<em>39-3=36</em>
<em>6p<36</em>
<em>Divide by 6 from both sides of equation.</em>
<em>6p/6<36/6</em>
<em>Simplify, to find the answer.</em>
<em>36/6=6</em>
<em>p<6 is the correct answer.</em>
<u><em>D is the correct answer.</em></u>
One answer could be: 4.15
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