If f ( x ) = 3 - i and g ( x ) = 4i,

Mathematics

1 answer:

klemol [59]3 years ago

3 0

Answer:

$f(x)g(x) = (3 - i)(4i) \\ = 12i - 4 {i}^{2} \\ = \boxed{12i + 4 }\\ remember \:the \: value \: of \: {i}\: is \: \sqrt{ - 1} \\ and \: {i}^{2} \: is - 1 \\ d. (4 + 12i)\: is \: the \: right \: answer.$

You might be interested in

An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee w

stellarik [79]

Answer:

2664

Step-by-step explanation:

9.25×36+(380÷20)×8

3 0

3 years ago

at a party at the middle school over on third avenue next to the bank, $60\%$ of the students are seventh graders. these student

Vaselesa [24]

There are 600 students including the seventh and eighth graders at the party.

This problem uses the concept of percentages to define the conditions that are laid in front of us.

Let the original number of students be S , and the number of seventh graders be = 0.60S

We know that percent is used to convey the mathematical term of a fraction multiplied by 100.

Total students after 20 eighth graders arrive = S + 20

And we have that

Number of seventh graders / total number of students = 58%

.60S / [ S + 20 ] = .58 we multiply both sides by S + 20

0.60S =0 .58 [ S + 20]

.60S = .58S + 11.6 we subtract 0.58S from both the sides

0.02S = 11.6 we divide both the sides by .02

S = 11/6 / 0.02 = 580

So the total number of students = 580 + 20 = 600 .

Hence there are 600 students at the party at that time.

To learn more about students visit:

brainly.com/question/17332524

#SPJ1

5 0

1 year ago

I NEED HELP PLS I WILL MARK BRAINLIEST

ANEK [815]

Answer:

$\approx 11.2\:\mathrm{in}$

Step-by-step explanation:

The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by $2r\pi\cdot \frac{\theta}{360}$ , where $r$ is the radius of the circle and $\theta$ is the angle of the arc.