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

find f ( x ) g ( x )
Select one:
a. 12i + 3i
b. 11
c. 4i - 3i
d. 4 + 12i

Answers

Answer 1

Answer:

[tex]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.[/tex]


Related Questions

Write and solve a system of linear equations that represent the situation. There are a total of 64 students in two clubs: xylophone and yo-yo. The xylophone club has 10 more members than the yo-yo club. How many members are in the xylophone club? How many members are in the yo-yo club?

Answers

Answer:

x + y = 64

x = 10 + y

Yo-yo = 27

Xylophone = 37

Step-by-step explanation:

Let :

Xylophone club = x

Yo - Yo club = y

Total members = 64

Xylophone club has 10 more members than yoyo

Hence,

x + y = 64 - - (1)

x = 10 + y - - (2)

Put x = 10 + y in (1)

10 + y + y = 64

10 + 2y = 64

2y = 64 - 10

2y = 54

y = 54 / 2

y = 27

From (1)

x + 27 = 64

x = 64 - 27

x = 37

For the graph on the right, find the Average Rate of Change from 7 to 60 minutes?

Answers

Answer:

The average rate of change from 7 to 60 minutes is 0.36 miles per minute.

Step-by-step explanation:

at x₁ = 7, f(x₁) = 8

at x₂ = 60,  f(x₂) = 27

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                     = [27 - 8] / [60-7]  

                     = 19 / 53

                     = 0.36

Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.

301,251,769 to the nearest ten thousand

Answers

Answer:

301,250,000

I'm pretty sure that's it.

It would be 301,250,000 I think

9) Josie had $89 in her bank account. She recently got a job and is able to save $107 each
paycheck. To represent the situation a student wrote the equation y = 89x + 107. What is
wrong with the students equation? Describe the error and correct it.

Answers

Answer: the x should be next to the 107 instead of the 89

Step-by-step explanation:

It should be 107x+89 as 89 is the independent variable just as shown in the text and only 107 is the dependent variable which depends on the number of month so x represent the month should be nest to 107

I’m not sure if it’s 1 but I know it’s not 3 and if you answer please Give an explanation !

Answers

Answer:

The answer is indeed 1.

Step-by-step explanation:

You are going to plug in the y values, and then plug in the choices for x to see which makes the statement true.

[tex]x + y = 6 - x \\ x + 4 = 6 - x \\ \\ (4) + 4 = 6 - (4) \: is \: 8 = 2\: \: \: |no| \\ \\ (2) + 4 = 6 - (2) \: is \: 6 = 4 \: \: \: |no| \\ \\ (3) + 4 = 6 - (3) \: is \: 7 = 3 \: \: \: |no| \\ \\ (1) + 4 = 6 - (1) \: is \: 5 = 5 \: \: \: |yes| [/tex]

PLEASE HELPPPP
ITS EASY MY BRAIN JUST HURTS

Answers

500minute

Step-by-step explanation:

if anthony rides 32 miles in 160 minute then he will ride 1 mile in 5 minutes

PLEASE HELP FAST

Solve for X

Answers

Answer:

x = 26

Step-by-step explanation:

[tex]\frac{12}{x-2} = \frac{13}{x}[/tex]

Cross-multiply => 12x = 13x - 26

Isolate x => -x = -26

Divide by -1 => x = 26

It’s 26 since the 12 and 13 are combine

z=2 = 27

_____ __

4 12

Answers

Answer:

hmmmmmm

i believe that the answer is _

because of _

(i helped w/ your other one lol)

Step-by-step explanation:

Help
Please due now!!!!

Answers

Answer:

3920

Step-by-step explanation:

(9+11)(14•14)

(20)(196)

20 x 196

3920

Answer:

3920

Step-by-step explanation:

According to the question ,

x = 14 ; y = 9 ; z = 2

So, putting the values in the expression [tex](y + 11)( {x}^{z} )[/tex]

[tex] = > (9 + 11)( {14}^{2} )[/tex]

[tex] = > 20 \times 196 = 3920[/tex]

Lake Michigan is one of five great lakes in north america.In summertime, lake Michigan recedes about 1/4 foot per hour. Lake Michigan is about 279 ft. In depth.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, a possible question is "calculate the depth of the lake after certain number of hours (say 2 hours)"

Given

[tex]Rate = \frac{1}{4}ft/hr[/tex]

[tex]Depth = 279ft[/tex]

First, we calculate the depth receded.

If the rate is 1/4ft per hour

Then

The Depth receded in 2 hours is:

[tex]Receded = \frac{1}{4} * 2[/tex]

[tex]Receded = \frac{2}{4}[/tex]

[tex]Receded = 0.5ft[/tex]

The new depth is then calculated as:

[tex]New\ Depth = 279ft - 0.5ft[/tex]

[tex]New\ Depth = 278.5ft[/tex]

Need help please will give brainliest

Answers

Answer:

x = 60

Step-by-step explanation:

The formula for this kind of question is

Area of sector = x / 360 * pi * r^2  = 24*pi

x/360 * pi * 12^2 = 24 pi

x/360 * pi * 144 = 24 pi                  the pi s cancel out

x / 360 = 24/144                             Multiply both sides by 360

x = 24 * 360/144

x = 60

With a knowledge of strings and numbers, you can announce equations to the user. Create a file that includes four different equations created with JavaScript. Each equation should be displayed to the user through JavaScript (an alert, HTML output, etc). The left side of the equation and the equal sign should be in a string, and the answer should be the actual calculation. Do not type in the answer as part of the string.

Hint: When you concatenate these two data types, place the calculation inside parentheses. Concatenating a string and a number will coerce your number into becoming a string, so you’ll want the calculation to be executed before that happens.

When you are finished, make sure your files are up and working on your Neocities account. Submit your URL to your teacher to complete the assignment. Be sure your site functions live on Neocities and contains all of the assignment's requirements. Your assignment will be graded based on the rubric below.

Answers

Answer:

//

Step-by-step explanation:

Solve for x : 4/5 x − 2 = 7

Answers

Answer: x = 45/4

Step-by-step explanation:

Answer:

11 1/4 simplified form

45/4 exact form

11.25 decimal form

write an equation of the line that passes through the given point with the given slope. (-1,4) m=-3

Answers

Answer:

y - 4 = -3(x + 1)

Step-by-step explanation:

Let's use the point-slope formula y - k = m(x - h):

y - 4 = -3(x + 1)

I really help with this ill mark u brainliest pls

Answers

Answer:

[tex] m\angle XYW = (155 - 20x

)\degree [/tex]

Step-by-step explanation:

[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\

150\degree = m\angle XYW +(20x-5)\degree \\\\

150\degree - (20x-5)\degree = m\angle XYW \\\\

(150 - 20x

+5)\degree = m\angle XYW \\\\

(155 - 20x

)\degree = m\angle XYW \\\\

m\angle XYW = (155 - 20x

)\degree \\\\

[/tex]

write the equation of the graphed in NO SPACES ALL LOWERCASE
Help !!

Answers

Answer:

The equation of the graphed line is:

y = 2

Step-by-step explanation:

From the graph, it is clear that the line is a horizontal line at y = 2.

We know that a horizontal line has a slope of 0 because the value of y does not change no matter what the value of x we put in.

In other words, the equation of the horizontal line would always get the form:

y = k

where k is the y-intercept of the line.

Determining the y-intercept of the line:

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept k = 2

Thus, if we substitute the y-intercept k = 2 in the equation y = k, we get the equation

y = 2

Therefore, the equation of the graphed line is:

y = 2

Can somebody please solve this problem. I need help

Answers

Answer:

X=4

Step-by-step explanation:

4(x+12) = 19x-12

4x+48= 19x-12

sub 4x from both sides

48= 15x-12

add 12 to both sides

60=15x

divide 15 from both sides

and 60/15 =4

Answer:

[tex]4(x + 12) = 19x - 12 \\ 4x + 48 = 19x - 12 \\ 4x - 19x = - 12 - 48 \\ - 15x = - 60 \\ x = \frac{60}{15} \\ x = 4[/tex]

hurry please i’m taking a test!!!

Answers

Step-by-step explanation:

Since triangles ABC and DEF are congruent,

Angle D = Angle A.

=> (2y - 5)° = 65°, 2y - 5 = 65, y = 35.

Also side EF = side BC.

=> 2x + y = 90.6, 2x = 90.6 - (35) = 55.6, x = 27.8.

Answer: Y = 35, X = 27.8

Step-by-step explanation:

First you need to find Y. So, you do 2y - 5 = 65. First you add 5 to both sides, this will give you 2y = 70. Then divide both sides by 2 to get y = 35. Then in order to find x we do 2x + y = 90.6. First we change Y to the 35, as that is what y equals, then subtract both sides by 35 to get 2x = 55.6. Then you divide both sides by 2 to get x = 27.8.

If the point is reflected across the yaxis what is the location of the new point?


Answers

Answer:

That would be B. (2,-5)

Step-by-step explanation:

If it's reflected across the Y axis then only the second number will change

But it depends on what the number is

Can someone please help? I need to get this doe so I can do something important

Answers

Answer:

9. 4/1 or 4. 10. 0

Step-by-step explanation:

9.

Slope- y2-y1/x2-x1

11-7/4-3= 4/1 or 4

10.

Slope-y2-y1/x2-x1

7-7/5-0= 0/5

When 0 is the numerator of the slope, then the slope is 0.

25t=12.5
find the value of t

Answers

Answer:

t = 0.5

Step-by-step explanation:

Divide both sides by 25.

t = 12.5/25

t = 0.5

Lucy correctly answered 70% of the questions on her science homework. She counted 14 correct answers. How many questions are there on her homework?

Answers

Answer:

9.8

Step-by-step explanation:

draw a number line with the solution to :1/4 - 1/2

Answers

1/4 - 1/2 = -1/4 but 1/2 - 1/4 = 1/4

When our family went out to dinner, the bill came to $55.75. There was 7%
tax and we left a 20% tip. Find the total price.
A.$15.05
B.$40.70
C.$82.75
D.$70.80

Answers

It would be D. 70.80

The price of a pair of shoes increases from $52 to $80. What is the percent increase to the nearest percent?

Answers

Step-by-step explanation:

Price increase = $80 - $52 = $28.

Percentage increase = ($28/$52) * 100%

= 53.8% = 54%. (nearest percent)

Answer:

53%

Step-by-step explanation:

In ABC, the interior angle at A is 51° and the exterior angle at B is 119º. The interior angle at C measures
A 51°
B 68°
C 90°
D 39°

Answers

Answer:

68 degrees

Step-by-step explanation:

To get the interior angle, we use an important triangle principle

The principle is that the sum of the opposite interior angles equal the exterior angle

Let the second interior angle be x

x + 51 = 119

x = 119-51

x = 68

Leland swam from the dock east 26 meters. He turned and swam another 10 meters, as shown in the diagram below. 26 m Dock 10 m What is the value of x, the distance Leland swam to return to the dock?​

Answers

Answer:

x=12

Step-by-step explanation:

Answer:

24m

Step-by-step explanation:

you can use khan academy to help you out on this kind of stuff

What’s the GCF of (45x power of 2) y, and (54xy power of 2)

Answers

Answer:

[tex]9xy[/tex]

Step-by-step explanation:

I suppose you're asking for the GCF of [tex]45x^2y[/tex] and [tex]54xy^2[/tex].

[tex]45x^2y = 3^2 \times 5 \times x^2 \times y\\54xy^2 = 2 \times 3^3 \times x \times y^2[/tex]

The GCF is [tex]3^2 \times x \times y = 9xy[/tex].

The answer is I’m adopted and I’m bad at math

A salesperson at a jeweraly store that earns 7% commission each week last week Jared sold $680 worth of jewelry how much did he make in commission how much did the jewelry store make from his sales

Answers

Given :

A salesperson at a jewelry store that earns 7% commission each week last week Jared sold $680 worth of jewelry.

To Find :

How much did he make in commission.

Solution :

Let, commission he make is C.

So, C is 7% of $680 .

[tex]C = \dfrac{680\times 7}{100}\\\\C = \$ 47.6[/tex]

Therefore, salesperson will make $47.6 commission.

The graph of a function f is shown below. Use the zeros and the turning points of the graph to find the rule for f.

A.
f(x) = x4 − 8x2 + 16

B.f(x) = −x4 + 5x2 − 4

C.f(x) = x3 + x2 − 4x + 4

D.f(x) = x4 − 5x2 + 4


Answers

Answer:

Answer is D

Step-by-step explanation:

Using the zeros of the graph we should have y=0 when we put x=-2, x=-1, x=1, x=2

Only the function on option D works, so the answer is D

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