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Oxana [17]
3 years ago
10

What is the next number in pattern from 2,9,28,65

Mathematics
1 answer:
galben [10]3 years ago
5 0

Answer:

126

Step-by-step explanation:

2=1³+1

9=2³+1

28=3³+1

65=4³+1

=>5³+1=126

The rule is: n³+1

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Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using
IgorLugansk [536]

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}

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

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>

8 0
3 years ago
Help pleaseeeeeeeeeeeeee
Dennis_Churaev [7]

Answer:

D^1 should be (28,0)

Step-by-step explanation:

a dilation is performed by multiplying the x and y coordinates by the scale factor. D(7,0)... (7×4,0×4).... D^1(28,0)

4 0
3 years ago
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Tasya [4]

Answer:

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Step-by-step explanation:

HOPE THIS HELPED ;3

5 0
3 years ago
a 9 pound bag of sugar is being split into containers that hold 2/3 of a pound. how many containers of sugar will the 9 pound ba
LUCKY_DIMON [66]
Namely, how many times does 2/3 go into 9?

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3 0
3 years ago
100 POINTS HELP ME PLZZ
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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