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tensa zangetsu [6.8K]
3 years ago
12

(3+2i)(3-2i) whats the answer

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0

Answer:

13 is the answer.

Step-by-step explanation:

You might be interested in
for the given license plate configuration, determine how many different plates are possinle if letters and digits (a) can ba rep
Inessa05 [86]

Answer:

a) 1,757,600 different plates possible.

b) 1,404,000 different plates possible.

Step-by-step explanation:

The permutations formula is important to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

(a) can be repeated:

There are 3 letters, each one with 26 possible outcomes.

2 digits, each with 10 possible outcomes

So

T = 26*26*26*10*10 = 1757600

1,757,600 different plates possible.

(b) cannot be repeated:

Here the permutations formula is used.

Three letters, from a set of 26.

Two digits, from a set of 10. So

T = P_{(26,3)}*P_{(10,2)} = \frac{26!}{(26-3)!}*\frac{10!}{(10-2)!} = 1404000

1,404,000 different plates possible.

4 0
3 years ago
The cost y (in dollars) of renting a segway for x hours is y=30x+25. Find the initial fee and the cost per hour.
Hitman42 [59]

Given:

The cost y (in dollars) of renting a segway for x hours is

y=30x+25

To find:

The initial fee and the cost per hour.

Solution:

We have,

y=30x+25       ...(i)

The slope intercept form of a linear equation is

y=mx+b      ...(ii)

where, m is slope is b is y-intercept or initial value.

From (i) and (ii), we get

m=30,b=25

The value of m is 30, so the slope is 30. It means cost per hour is $30.

The value of b is 25, so y-intercept is 25. It means the initial fee is $25.

8 0
3 years ago
Check-Ins 2 NC Math 1
fomenos

The maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,

<h3>How to determine the difference?</h3>

The function is given as:

f(x) = -0.5x^2 + 5x - 6

Differentiate the function

f'(x) = -x + 5

Set to 0

-x + 5 = 0

Make x the subject

x = 5

Substitute x = 5 in f(x)

f(5) = -0.5 * 5^2 + 5 * 5 - 6

f(5) = 6.5

The table is not given.

Hence, the maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,

Read more about quadratic functions at:

brainly.com/question/18797214

5 0
1 year ago
The diagram represents an enlargement of a rectangle by a scale factor of 4,
Lapatulllka [165]

Answer:D 16inches by 8 inches

Step-by-step explanation:

3 0
3 years ago
Armando bought 45 baseball cards. Of the 12 friends he invited to his cookout, half of them were able to attend. Armando gave ea
kotegsom [21]
45 Cards 
12 friends invited; 1/2 came 12 x 1/2=6
Let x stand for the number of cards each friend received
Armando kept 3
6x = 45-3
6x =  42
__     __
6       6
x = 7  

Each friend received 7 cards
6 0
3 years ago
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