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lorasvet [3.4K]
3 years ago
12

Which of the following expressions is equal to 2x2 + 18 ?

Mathematics
1 answer:
ehidna [41]3 years ago
4 0
<h3>Answer: Choice C. (2x - 6i)(x + 3i)</h3>

Work Shown:

2x^2 + 18

2(x^2 + 9)

2(x - 3i)(x + 3i) .... see note below

(2x - 6i)(x + 3i)

Note: I used the rule that a^2 + b^2 = (a - bi)(a + bi). I recommend FOILing out the right hand side to confirm the equation is true. You'll use the idea that i^2 = -1.

You might be interested in
A closed cylindrical tank of radius 1.50m and height 300cm, is made from a metal sheet. How much sheet is required?
Anika [276]

Answer: 13.5π≈42.41

Step-by-step explanation:

Basically it is asking for the circumference of this cylinder.

#1 Find the circumference of the circle base

Formula to use: 2πr

2πr=2π(1.5)=3π

---------------------------

#2 Find the area of the circle base

Formula to use: πr²

πr²=π(1.5)²=2.25π

--------------------------

#3 Find the area of body of the cylinder

Formula to use: lw

300cm=3m

l (length)= 3π (since the body of the cylinder the basing on the circumference of the circle base)

w (width)= 3

lw=3π×3m=9π

----------------------------

#4 Add all of them together

There are 2 base and one body

2.25π×2+9π=13.5π

4 0
3 years ago
What are the first 3 composite numbers that are multiples of 4 and greater than 10.
insens350 [35]

Answer:

12, 16, and 20

Step-by-step explanation:

These are the answers because:

1) Composite numbers mean numbers that are divisible by more than two numbers (1 and itself).

2) Multiples of 4 that are greater than 10 are: 12, 16, and 20 because they are all divisible by more than two numbers, they are greater than 10, and they are mutiples of 4. You can check if they are multiples of 4 by skip counting or multiplying: 4, 8, 12, 16, 20 or 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20.

Therefore, the answers are: 12, 16, and 20

Hope this helps! :D

7 0
3 years ago
Read 2 more answers
1. Write the equation of the line best fit
navik [9.2K]
Hmmmm interesting I really don’t know but
7 0
3 years ago
Taryn bought 12.6 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the numbe
Alina [70]

Answer:

<h2> Amount in liters is 47.9 liters</h2>

Step-by-step explanation:

The Question is incomplete, it does not provide the measurements or options to choose from, but we can estimate the answer

Step one:

Given data

Taryn Bought 12.6gallons of gasoline

1 gallon of gasoline is  3.8 liters

We want to convert from gallons to liters

Step two:

----if 1 gallon has 3.8 liters

then 12.6 gallons will have x liters

cross multiply we have

x= 12.6*3.8

x=47.88 liters

Hence the estimated amount in liters is 47.9 liters

8 0
3 years ago
if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?
Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 9 rolls, hence n = 9.
  • Of the six sides, 2 are 3 or 4, hence p = \frac{2}{6} = 0.3333

The desired probability is:

P(X \geq 2) = 1 - P(X < 2)

In which:

P(X < 2) = P(X = 0) + P(X = 1)

Then

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026

P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

7 0
3 years ago
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