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Elanso [62]
2 years ago
8

Given that f(x) = 2x + 9, find the value that makes f(x) = 27.

Mathematics
1 answer:
STatiana [176]2 years ago
3 0

Answer:

9

Step-by-step explanation:

f(x) = 2x+9

f(x) = 27

so, you get:

2x+9=27

2x=18

x=9

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Answer:

3.) \displaystyle y - 4 = 4[x - 1]

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1.) \displaystyle y + 3 = 1\frac{1}{5}[x + 5]

Step-by-step explanation:

In the Point-Slope Formula, \displaystyle y - y_1 = m[x - x_1],all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

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3 years ago
Abby is registering at a Web site and must select a six-character password.The password can contain either letters or digits.
zaharov [31]

Answer:

a. 2176782336 with repeated characters. 1402410240 with no repeated characters.

b. 7964171460 when all letters can be repeated, but not numbers. 118813760 when only one number and letters can be repeated.

I believe that the password with all letters able to repeat and numbers not being able to is the most secure password, because if someone were to guess the password there is a 1/7964171460 chance of guessing the password.

Step-by-step explanation:

A. Since there are 26 different letters and 10 different numbers, there are 36 characters we can type. If characters can be repeated then, there is 2176782336 different passwords, since on all six number there are 36 possibilities each. So, 36 x 36 x 36 x 36 x 36 x 36 or 36^6 is to evaluated to find the answer. If characters are not to be repeated, there are 1402410240 different passwords, since on the first number there are 36, second has 35, third has 34, fourth has 33, fifth has 32, and sixth has 31. So, 36 x 35 x 34 x 33 x 32 x 31 is to be evaluated to solve this.

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6 0
3 years ago
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Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

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