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galben [10]
2 years ago
10

Which expressions are equivalent to 2(-6c+3)+4c2(−6c+3)+4c2, left parenthesis, minus, 6, c, plus, 3, right parenthesis, plus, 4,

c ?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
-8c+6−8c+6minus, 8, c, plus, 6

(Choice B)
B
3(-4c+2)+4c3(−4c+2)+4c3, left parenthesis, minus, 4, c, plus, 2, right parenthesis, plus, 4, c

(Choice C)
C
None of the above
Mathematics
1 answer:
Klio2033 [76]2 years ago
3 0
A because it’s 8c+6-8c+6 minus
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Discuss the continuity of the function on the closed interval.Function Intervalf(x) = 9 − x, x ≤ 09 + 12x, x > 0 [−4, 5]The f
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It is continuous since \lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x)

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We are given that the function is defined as follows f(x) = 9-x, x\leq 0 and f(x) = 9+12x, x>0 and we want to check the continuity in the interval [-4,5]. Note that this a piecewise function whose only critical point (that might be a candidate of a discontinuity)  x=0 since at this point is where the function "changes" of definition. Note that 9-x and 9+12x are polynomials that are continous over all \mathbb{R}. So F is continous in the intervals [-4,0) and (0,5]. To check if f(x) is continuous at 0, we must check that

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Thus, \lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x)=9, so by definition, f is continuous at x=0, hence continuous over the interval [-4,5].

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