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s2008m [1.1K]
3 years ago
11

Without using a calculator evaluate 2^3/2^-3.​

Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

Answer: 64

Step-by-step explanation:

2^3 = 8

2^-3=1/8

8/1/8=64

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Step-by-step explanation:

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3 years ago
The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 2 and a root of multiplicity 1 at x = − 3 . The y -in
lesya [120]

Answer:

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Step-by-step explanation:

<u>We are given</u> :

P ( x ) , has a root of multiplicity 2 at x = 2

and a root of multiplicity 1 at x = − 3

Then

P ( x ) = a (x - 2)²(x + 3)  ; where ‘a’ is a real number.

P ( x ) = a (x - 2)²(x + 3)

= a (x² - 4x + 4)(x + 3)

= a [x³ - 4x² + 4x + 3x² - 12x + 12]

P (0) = -8.4

⇔ a [(0)³ - 4(0)² + 4(0) + 3(0)² - 12(0) + 12] = -8.4

⇔ 12 a  = -8.4

⇔  a  = (-8,4) ÷ 12

⇔  a  = -0,7

<u>Conclusion</u> :

P ( x ) = -0.7 (x - 2)²(x + 3)

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The <em>experimental probability</em> is calculated based on the results of the experiment; since the name Ted was chosen 26 times out of 123, the experimental probability is \boxed{\frac{26}{123}}.

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If we <em>increased</em> the number of names in the hat, we would expect both the experimental and theoretical probability to decrease, since there are now more names to choose from. Similarly, if we <em>decreased</em> the number of names in the hat, the experimental and theoretical probability would increase.

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