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2 years ago

Question 2 Multiple Choice Worth 1 points)

Mathematics

1 answer:

umka21 [38]2 years ago

4 0

Answer:

-1 or 4

Step-by-step explanation:

f(x) = g(x)

-x^2 + 4x + 12=x + 8

-x^2+3x+4=0

(x+1)(x-4)=0

x=-1,x=4

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Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The product:

$A * B = \frac{1}{2} * \frac{2}{3}$

$A * B = \frac{1}{1} * \frac{1}{3}$

$A * B = 1 * \frac{1}{3}$

$A * B = \frac{1}{3}$

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Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The quotient:

$A / B = \frac{1}{2} / \frac{2}{3}$

Express as product

$A / B = \frac{1}{2} / \frac{3}{2}$

$A / B = \frac{1*3}{2*2}$

$A / B = \frac{3}{4}$

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

$x = \frac{1}{2}$

$y = \frac{2}{3}$

The sum:

$x + y = \frac{1}{2} + \frac{2}{3}$

Take LCM

$x + y = \frac{3+4}{6}$

$x + y = \frac{7}{6}$

Proved, because 7/6 is rational

<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

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General term of a geometric sequence is
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a1=5
a2=5×6=30
a3=5×6²=180
a4=5×6³=1080

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Answer:

Step-by-step explanation:

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1 year ago

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Answer:

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Step-by-step explanation:

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Answer:

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