Answer:
x < -4 or x > 7.
Step-by-step explanation:
We first determine the critical points by solving x^2 - 3x - 28 = 0:
x^2 - 3x - 28 = 0
(x - 7)(x + 4) = 0
x = 7, - 4
so the critical points are -4 and 7.
Create a Table (pos = positive and neg = negative):
Value of x< - 4 -4 < x < 7 x > 7
---------------------|----------- |--------------------- |---------------------
x + 4 NEG POS POS
x - 7 NEG NEG POS
(x + 4)(x - 7) POS NEG POS
So the function is positive (>0) for x < -4 or x > 7.
You can also do this by drawing the graph of the function.
The first one is 4 x 10^-9
second one is 4 x 10^10
third one is 5 x 10^7
fourth on is 2 x 10^-5
A property of triangles<span> that states that if the side lengths of a </span>triangle<span> are fixed, the </span>triangle can have only one shape.The triangle is the strongest shape due to the rigidity of its sides, which allows them to transfer force more evenly through their sides than other shapes.<span> Triangles are used extensively in the construction of buildings and bridges.</span><span> triangle cannot be deformed without changing its joints</span>
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