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3 years ago

Simplify the expression. -4i(2+3i)

Mathematics

2 answers:

vovangra [49]3 years ago

8 0

Answer:

12−8i

Step-by-step explanation:

-(-4 *3+4*2i)

-4*3=12

4*2=8

=12-8i

oee [108]3 years ago

5 0

Answer:

-8i + 12

Step-by-step explanation:

-4i(2 + 3i) = -8i - $12i^{2}$ = -8i - 12 * (-1) = -8i + 12

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You should put this in Desmos, it’s online for graphing.

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3 years ago

There are 500 students in a high school senior class. Of these 500 students, 300 regularly wear a necklace to

andre [41]

Answer:

1. P(N) = 3/5

2. P(R) = 2/5

3. P(N and R) = 1/4

4. P(N or R) = 3/4

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of students in a high school senior class = 500

Number of students that regularly wear a necklace = 300

Number of students that regularly wear a ring = 200

Number of students that wear a necklace and a ring = 125

2. What is P(N), the probability that a senior wears a necklace?

Let's recall the formula of probability:

Probability = Number of favorable outcomes/Total of possible outcomes

Substituting with the real given values:

P(N) = 300/500 = 3/5 (Dividing by 100 numerator and denominator)

P(N) = 3/5

3. What is P(R), the probability that a senior wears a ring?

Substituting with the real given values:

P(R) = 200/500 = 2/5 (Dividing by 100 numerator and denominator)

P(R) = 2/5

4. What is P(N and R), the probability that a senior wears a necklace and a ring?

Substituting with the real given values:

P(N and R) = 125/500 = 1/4 (Dividing by 125 numerator and denominator)

P(N and R) = 1/4

5. What is P(N or R), the probability that a senior wears a necklace or a ring?

P(N or R) = P(N) + P(R) - P(N and R)

Substituting with the real given values:

P(N or R) = 3/5 + 2/5 - 1/4

P(N or R) = 5/5 - 1/4

P(N or R) = 1 - 1/4

P(N or R) = 3/4

5 0

3 years ago

1. Use f(x)and g(x) to find f(x) * g(x). f(x) = -x + 5 and g(x) = 3x + 2

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6 0

3 years ago

6. It took Todd 9 hours to paint 4 rooms.

Afina-wow [57]

Answer:

5 rooms

Step-by-step explanation:

4 rooms = 9 hours

9 hours = 540 minutes

1 room = 540 ÷ 4 = 135 minutes

60 x 12 = 720 minutes (12 hours)

720 ÷ 135 = 5.33333

5.3333 estimated to nearest whole number = 5

3 0

3 years ago

A grandsons age in years is equal to his grandfather's age in years. The difference of the grandsons age in years and the grandf

garik1379 [7]

The age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the age of the grandsons is x years and

age of the grandfather's age is y years

Here some data are misprinted, so we are assuming the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

Then according to the problem:

12x = y (as in 1 year, there are 12 months)

y -x = 77 (as difference in age is 77)

After solving both equations, we get:

x = 7 years and y = 84 years

Thus, the age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

4 0

2 years ago