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Troyanec [42]
3 years ago
10

Two numbers have a difference of 8 what is the minimum product of these numbers

Mathematics
2 answers:
Alex17521 [72]3 years ago
6 0

Answer:

-16 (assuming you are allowed both positive and negative numbers)

Step-by-step explanation:

If you use two negative numbers, the result will be a positive, so the only way to get a number below zero is to use one positive and one negative number.

Here's the only options that provide one negative and one positive number:

1 x -7 = -7

2 x -6 = -12

3 x -5 = -15

4 x -4 = -16

5 x -3 = -15

6 x -2 = -12

7 x -1 = -7

Therefore, -16 is the lowest possible product of two numbers with a difference of 8

Nady [450]3 years ago
4 0

Answer:

4

Step-by-step explanation:

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Step-by-step explanation:

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Q(a+1) - 2q(a) if q(x) = x²+3x+4​
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q(x) =  {x}^{2} + 3x + 4

_________________________________

Step(1)

To find q(a) we just need to put a instead of x in q(x) function.

Let's do it...

q(a) =  {a}^{2} + 3a + 4

Multiply sides by -2 :

- 2q(a) =  - 2( {a}^{2} + 3a + 4)

- 2q(a) =  - 2 {a}^{2} - 6a - 8

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Step (2)

To find q(a+1) we just need to put a+1 instead of x in q(x) function.

Let's do it...

q(a + 1) =  ({a + 1})^{2} + 3(a + 1) + 4 \\

q(a + 1) =  {a}^{2} + 2a + 1 + 3a + 3 + 4 \\

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Step (3)

q(a + 1) - 2q(a) =

{a}^{2} + 5a + 8 - 2 {a}^{2} - 6a - 8 =  \\

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And we're done.

Thanks for watching buddy good luck.

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Answer:

Step-by-step explanation:

3 0
2 years ago
"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo
loris [4]
The exponential distribution is:
\lambda e^{- \lambda x}
where \lambda = \frac{1}{mean}=\frac{1}{5}

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
P(A|B) = \frac{P(A and B)}{P(B)}
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}

Sub into conditional probability formula:

P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
3 0
3 years ago
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