First we can simplify f(x) to make it a little easier. We can write it as
4x^3+2x^2-7x+4 by combining like terms
The we just subtract g(x) from f(x) and simplify
4x^3+2x^2-7x+4-(5x^3-7x+4) and remember to distribute the negative to g(x)
4x^3+2x^2-7x+4-5x^3+7x-4 (combine like terms)
-x^3+2x^2
In factored form, this becomes
-x^2(x-2)
Hope this helps
Answer:
{ - 1, 1, 7, 23 }
Step-by-step explanation:
To find the range substitute the values from the domain into g(x)
g(-2) = -2(- 2) + 3 = 4 + 3 = 7
g(- 10) = - 2(- 10) + 3 = 20 + 3 = 23
g(1) = - 2(1) + 3 = - 2 + 3 = 1
g(2) = - 2(2) + 3 = - 4 + 3 = - 1
Range is { - 1, 1, 7, 23 }
For a number to be rational by definition, a fractional representation of the number must exist.
So N = n/m is rational if n and m are integers.
Since it's given in fractional form it's rational by definition.
Hence false.
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<span>96 degrees
Looking at the diagram, you have a regular pentagon on top and a regular hexagon on the bottom. Towards the right of those figures, a side is extended to create an irregularly shaped quadrilateral. And you want to fine the value of the congruent angle to the furthermost interior angle. So let's start.
Each interior angle of the pentagon has a value of 108. The supplementary angle will be 180 - 108 = 72. So one of the interior angles of the quadrilateral will be 72.
From the hexagon, each interior angle is 120 degrees. So the supplementary angle will be 180-120 = 60 degrees. That's another interior angle of the quadrilateral.
The 3rd interior angle of the quadrilateral will be 360-108-120 = 132 degrees. So we now have 3 of the interior angles which are 72, 60, and 132. Since all the interior angles will add up to 360, the 4th angle will be 360 - 72 - 60 - 132 = 96 degrees.
And since x is the opposite (or congruent) angle to this 4th interior angle, it too has the value of 96 degrees.</span>
