The functions f(x) and g(x) are defined below.
2 answers:
<h3>Answer:</h3>
none of the above
<h3>Step-by-step explanation:</h3>This question wants you to see that the radical can be simplified because it is ...
The answer choices show you are expected to simplify this to ...
... f(x) = x +6
Then
... f(x)·g(x) = (x+6)(x³ -12) = x⁴ +6x³ -12x -72 . . . . . matches choice C
_____
However,
... f(x) = |x+6| . . . . . . . √(x^2) = |x|, the positive root regardless of sign of x
so the product f(x)·g(x) only matches selection C for x≥ -6. It matches the opposite of selection C for x ≤ -6.
The attached graph shows this. It graphs f(x), g(x), f(x)·g(x) (as a purple curve), and selection C (as orange dots).
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1. Each term in this polynomial has a common factor of :
2. Not sure what the "vertical method" is, but I would guess it refers to some way of visualizing the distributive property.
3. You can use the same approach as in (2), or recall that :
4. Recall that a difference of squares can be factored as . So
Answer:
1. c. 628 cubic cm
2. c. 502 cubic inches
Step-by-step explanation:
1.) 3.14 x 5^2 x 8
3.14 x 25 x 8 = 628
2.) 3.14 x ( 8/2 )^2 x 10
3.14 x 4^2 x 10
3.14 x 16 x 10 = 502.4