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denis23 [38]
3 years ago
9

(x^2+3x-7)(2x-5) write in standard form

Mathematics
1 answer:
Gnoma [55]3 years ago
7 0
Hi there!
The question is asking us to simplify the expression (x² + 3x - 7)(2x - 5) and write the answer in standard form. Here is how you do that - 
Original: (x² + 3x - 7)(2x - 5)
Break it apart - [(x² + 3x - 7)(2x)] + [(x² + 3x - 7)(-5)]
Simplify - 
2x³ + 6x² - 14x - 5x² - 15x + 35
Now, combine like terms - 
2x³ + x² - 29x + 35
Therefore, the answer to your query is 2x³ + x² - 29x + 35. Hope this helps!
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3 years ago
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2 years ago
A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be
maw [93]

Answer:

Only vowels and odd numbers:

P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}

Spells math:

P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}

Step-by-step explanation:

We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)

Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.

So the final probability would be:

P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}

To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:

P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}

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Answer:

Step-by-step explanation:

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