Find the missing length, simplify completely

Mathematics

1 answer:

nataly862011 [7]3 years ago

4 0

The answer is 22 because as u can see they are going up by 1 so 20,21, next 22

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Find the zeros of x3 +2X^2-23x-60

laila [671]

Hello,

P(x)=x^3+2x²-23x-60
P(-4)=(-4)^3+2*(-4)²-23*(-4)-60=0
P(-3)=(-3)^4+2*(-3)²-23*(-3)-60=0
P(5)=5^3+2*5²-23*5-60=0
Zeros are -4,-3,5

5 0

3 years ago

A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the

Ne4ueva [31]

The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

<h3>What is the rule of product in combinatorics?</h3>

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in $p \times q$ ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We're specified that:

The password needs to be 4 characters long
It must have 3 letters and 1 of 10 special characters.
Repetition is allowed.

So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).

And that 1 remaining character get 10 ways of being a special character.

So, by product rule, this choice (without ordering) can be done in:

$26 \times 26 \times 26 \times 10 = 175760$ ways.

Now, the password may look like one of those:

L, L, L, S
L, L, S, L
L, S, L, L
S, L, L, L

where S shows presence of special character and L shows presence of letter.

Those 175760 ways are available for each of those four ways.

Thus, resultant number of ways this can be done is:

$175760 \times 4 = 703040$

Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

Learn more about rule of product here:

brainly.com/question/2763785

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1 year ago

What is the equivalent to 178 and 739

kicyunya [14]

The answer is 917

(Hope this helps you! :) )

6 0

2 years ago

Read 2 more answers

What is an equation in point-slope form for the line that passes through the points (4, -1) and