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Misha Larkins [42]
3 years ago
10

Find the remainder when f(x) is divided by (x - k). f(x) = 4x3 - 6x2 + 3x + 1; k= -2

Mathematics
2 answers:
laila [671]3 years ago
8 0
\frac{f(x)}{(x-k)}
\frac{4x^3-6x^2+3x+1}{(x+2)}
Using Long Division, pic below
Your remainder is -61

WITCHER [35]3 years ago
5 0
When f(x) is divided by (x - k). f(x) = 4x3 - 6x2 + 3x + 1; k= -2     f(x)______    when f(x) is divided by (x - k). f(x) = 4x3 - 6x2 + 3x + 1; k= -2     i-k     
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Which expression has a value that is equivalent to the given expression when n = 8?
mrs_skeptik [129]

Q1.

Put the value of n = 8 to the expressions:

2n + 10 → 2(8) + 10 = 16 + 10 = 26

A: 3n → 3(8) = 24 ≠ 26

B: 2(n + 5) → 2(8 + 5) = 2(13) = 26   :)

C: n² + 5 → 8² + 5 = 64 + 5 = 69 ≠ 26

D: 10n + 2 → 10(8) + 2 = 80 + 2 = 82 ≠ 26

<h3>Answer: B: 2(n + 5)</h3>

Q2.

x = 3, y = 2

L = 5y² - 2x → L = 5(2)² - 2(3) = 5(4) - 6 = 20 - 6 = 14

R = x² + ... → R = 3² + ... = 9 + ...

A: x² + x → 9 + 3 = 12  NOT

B: x² + y → 9 + 2 = 11   NOT

C: xy → 9 + (3)(2) = 9 + 6 = 15 YES

D: 2y → 9 + (2)(2) = 9 + 4 = 13   NOT

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L = 14, R = 15, L < R    CORRECT

<h3>Answer: C: xy</h3>

Q3.

3 + 6² = 3 + 36 = 39

A: 3³ + 12 = 27 + 12 = 39  NOT

B: 5² + 4² = 25 + 16 = 41 > 39    YES

C: 2³ + 5² + 6 = 8 + 25 + 6 = 39    NOT

D: 2³ + 14 + 17 = 8 + 14 + 17 = 39    NOT

<h3>Answer: B: 3 + 6² < 5² + 4²</h3>
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Answer:

A and C

Step-by-step explanation:

Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.

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Options A and C are two sets of most likely independent events, because the girl's singing does not affect on her wish to become a lawyer and a man's hair doesn't depend on where his father lives.  

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