If f(x) = x3 – 2x2, which expression is equivalent to f(i)? –2 i –2 – i 2 i 2 – i

Answers

Answer 1

Answer:

Answer

d) 2 – i

Explanation

f(x) = x³ – 2x²

When x = i, we proceed as follows.

Note: i =

         i² =(√-1)(√-1) =  -1

         i³ = (√-1)(√-1)(√-1) = -1(√-1) = -1i = -i

f(x) = x³ – 2x²

f(i) = i³ – 2i²

    = -i – 2(-1)

    = -i + 2

     = 2 – i

Step-by-step explanation:


Related Questions

For a class project, Mr. Turner has 350 sheets of paper to offer to his students. The paper comes in a variety of. The table shows the number of sh eets of each color. Which equation would I use? Please help fast! I’ll respond

Answers

Answer:

B

Step-by-step explanation:

Is the correct answer

(30 points) Find the volume of the cylinder.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi.

Answers

Answer:

I guess both of the answers are correct.Hope the picture will help you.....

Answer: the answer on khan academy is 144 pie units^3

Teresa deposits $3,500 in an account that earns
2.25% compounded annually. What is the total
balance at the end 14 years? (Round to the
nearest cent) TEKS A2.5(B)(D)

Answers

The total amount accrued, principal plus interest, with compound interest on a principal of $3,500.00 at a rate of 2.25%  is $4,779.19.

Compound Interest

Given Data

Principal P= $3,500 Rate r = 2.25%Time t = 14 yearsFinal Amount A = ??

A = P + I where

P (principal) = $3,500.00

I (interest) = $1,279.19

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.25/100

r = 0.0225 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 3,500.00(1 + 0.0225/1)^(1)(14)

A = 3,500.00(1 + 0.0225)^(14)

A = $4,779.19

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PLEASE HELP!!! I have no idea how to solve for this

m1=

Answers

Answer:

mAngle 1 = 40°

Step-by-step explanation:

You can use Corresponding Angles to directly state Angle1 is 40°. If you have to prove it you can show that the horizontal lines are parallel bc they are both perpendicular to the same line (the vertical line in the middle)

OR...

Use vertical angles and supplementary angles to find all the six pack of angles right in the middle of the diagram. 40°, 50°, 90°, 40°, 50° 90° And the use the idea that a triangle's three angles must add up to 180°.

90+50+Angle1=180

140 + Angle1 = 180

Angle1 = 40°

Find the formula for an inverse proportion, knoping that its graph goes through th
point:
(2/3,9/5)

Answers

You should try tutor support it’s way better you get instant replies and help

The graph of this equation runs through the point (2/3, 9/5), and it illustrates an inverse proportion, where y is inversely proportional to x.

What is an inverse proportion?

An inverse proportion in mathematics is a relationship between two variables where a rise in one variable causes a fall in the other and vice versa. The two variables are thus inversely proportional to one another.

Let x be the independent variable and y be the dependent variable in an inverse proportion. Then the general form of an inverse proportion is:

y = k/x

where k is a constant of proportionality.

To find the specific formula for an inverse proportion that goes through the point (2/3, 9/5), we can substitute these values into the equation and solve for k:

y = k/x

9/5 = k/(2/3)

Multiplying both sides by (2/3), we get:

k = (9/5) * (2/3) = 6/5

Therefore, the specific formula for the inverse proportion is:

y = (6/5) / x

y = 6/(5x)

This equation represents an inverse proportion, where y is inversely proportional to x, and the graph of this equation passes through the point (2/3, 9/5).

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uuuhhhhhhhhh.....
The probability that an event will occur is fraction 2 over 3 . Which of these best describes the likelihood of the event occurring?

Likely

Certain

Unlikely

Impossible




STOP DELETING MY FREAKIN QUESTIONS

Answers

Answer:

Likekly

Step-by-step explanation:

P(particular event) = [tex]\frac{2}{3}[/tex]

Out of 3, 2 is success. so, it is likely

x is an integer.
The Lowest Common Multiple (LCM) of x and 12 is 120
The Highest Common Factor (HCF) of x and 12 is 4
Work out the value of x

Answers

Since 120 = 12 • 10 and LCM(x, 12) = 120, these suggest x is some multiple of 10.

HCF(x, 12) = 4 tells us that x is a multiple of 4.

If x is a both a multiple of 4 and 10, then the smallest x that fits both conditions is 4 • 10 = 40. (-40 also satisfies the criteria.)

The value of x for which the LCM and HCF of x and 12 are 120 and 4 respectively is 40.

What do we mean by Lowest Common Multiple (LCM) and Highest Common Factor (HCF)?

The Lowest Common Multiple (LCM) of the numbers is the smallest common multiple of the given numbers.

The Highest Common Factor (HCF) of the numbers is the greatest factor of the given numbers.

In the case of two numbers, the product of LCM and HCF is equal to the product of the numbers.

How do we solve the given question?

We are given two numbers, x and 12.

Their LCM and HCF are 120 and 4 respectively.

We are asked to find the number x.

For two numbers, we know that the product of two numbers is equal to the product of their HCF and LCM.

∴ x*12 = 120*4

or, 12x = 480

or, x = 480/12

or, x = 40.

∴ The value of x for which the LCM and HCF of x and 12 are 120 and 4 respectively is 40.

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Diane brought 16 packs of cola to a party, and each pack had 8 cans. Maria brought 9 cans of juice. How many cans did they bring in all?

Answers

Answer:

137

Step-by-step explanation:

There were 16 packs of cola with 8 cans each, so that is 8 16 times, or 16 · 8.

16 · 8 = 128 cans

The amount of cans Maria brought is already given. All that's left is to add the amounts.

128 + 9 = 137

They brought 137 cans in all.

hope this helps!

9) In spite of offering 20 % discount on a watch priced at Rs. 300, a shopkeeper gains 20 %. What is the cost price of the watch ? (A) Rs. 250 (B) Rs. 200 (C) Rs. 260 (D) Rs. 280​

Answers

Answer:

B) Rs. 200 is C.P. when shopkeeper gains 20% even though he offers 20% discount on a watch having M.P. Rs 300

What’s The Answer Of This? Please Help

Answers

Answer:

x = 85°

y = 45°

Step-by-step explanation:

For x, a line measures 180°, so subtract 95° from 180° to get 85°.

For y, all the angles in a triangle measure to 180°, and since we know x, add it to 50° and subtract it from 180°. 85° + 50° = 135°, and 180° - 135° = 45°

Answer:

x = 85

y = 45

Step-by-step explanation:

for x, angles on a straight line add up to 180 so 95 + x = 180 then evaluate for x

for y, angle in a triangle add up to 180 so 50+85 (as evaluated for x) +y= 180 and evaluate for y

1 and 1/2 - 1 and 1/4 ​

Answers

Step-by-step explanation:

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

[tex] = \frac{1 \times 2 + 1}{2} - \frac{1 \times 4 + 1}{4} \\ [/tex]

[tex] = \frac{3}{2} - \frac{5}{4} \\ [/tex]

[tex] = \frac{3}{2} \times \frac{2}{2} - \frac{5}{4} \times \frac{1}{1} \\ [/tex]

[tex] = \frac{6 - 5}{4} \\ [/tex]

[tex] = \frac{1}{4} \\ [/tex]

What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6? y = –three-fourthsx 8 y = –three-fourthsx 6 y = four-thirdsx – 8 y = four-thirdsx – 6

Answers

Answer:

y = –three-fourthsx

Step-by-step explanation:

GUYS PLS ANSWER ALL OF THESE I WILL GIVE 70 POINTS IF YOU DO PLS PLS PLS

Answers

I think A is the answer

Please help? This is complicated​

Answers

D,

You basically see if statements are correct or not. Remember this is sample, sample is portion of population so if everything is dome correctly, the results of sample will also display the results of population +- error (standard deviation). So you can just use the sample results to answer questions about the population.

A is correct because social studies has 4 students and reading has 8. Math has twice.
B is correct because reading has 2 and math has 8. Reading is one fourth of math 8*1/4 = 8/4=2.
D is NOT correct because math is 8, social studies is 4. Math is not half of social studies. Social studies is half of math.

Jaylen bought j crackers and combined them with Marvin m crackers they then split the crackers equally among 7. Type an algebraic expression that represent the verbal expression

Answers

Answer:

Gimme brainliest

Step-by-step explanation:

ip grabber goated

In EFG the measure of G=90 FG=21 and EF=63 feet find the measure of E to the nearest degree. ​

Answers

Answer:

∠ E ≈ 71°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos E = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{EG}{EF}[/tex] = [tex]\frac{21}{63}[/tex] , then

∠ E = [tex]cos^{-1}[/tex] ( [tex]\frac{21}{63}[/tex] ) ≈ 71° ( to the nearest degree )

If the average value of the function f on the interval 2≤x≤6 is 3, what is the value of ∫62(5f(x)+2)dx ?

Answers

The value of the definite integral is 68.

We have,

Break down the integral into two parts:

[tex]\int\limits^6_2 (5f(x) + 2)dx = \int\limits^6_2(5f(x)dx + \int\limits^6_2(2)dx[/tex]

Given that the average value of f(x) on this interval is 3, replace 5f(x) with 5 * 3 = 15:

[tex]\int\limits^6_2 (5f(x)dx = \int\limits^6_2(15)dx[/tex]

= 15(6 - 2)

= 15(4)

= 60

And,

[tex]\int\limits^6_2 2 dx = 2 [6 - 2] = 8[/tex]

Adding both parts of the integral:

= 60 + 8

= 68

Therefore,

The value of the definite integral is 68.

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPpppppp

Answers

Answer:

Step-by-step explanation:

y = -x - 2

3x + 3y = 6

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

3x - 3x - 6 = 6

0x - 6 = 6

0 = 12

SOLUTION DNE (∅)

I hope this helps!

One baseball team won 30 games throughout their entire season. Of all their games, this team won 60% of them. Given this, how many games in total did this team play? Round your answer to the nearest whole number if necessary.​

Answers

Answer:

18 Games

Step-by-step explanation:

For this problem we will have to use the same percentage Therom again, except this time we are solving for a diffrent variable.

Total Games * Percentage won in fraction form = Games won

Fill the values.

30 * 3/5 = X

Simplify

18=X

What is the equation of the line that passes
through the point (-2,2) and the point (-6,4)?

Answers

Answer:

y = -1/2x+1

Step-by-step explanation:

First step is to find the slope

m = (y2-y1)/(x2-x1)

    = ( 4-2)/(-6 - -2)

       (4-2)/(-6+2)

       2/-4

     -1/2

Then we can use the slope intercept form of a line

y = mx+b  where m is the slope and b is the y intercept

y = -1/2x+b

Substitute a point into the equation to find b

2 = -1/2(-2) +b

2 = 1+b

Subtract 1 from each side

1 =b

y = -1/2x+1

y = mx + b

Where m = slope and b is the y intercept

Let's find the slope = change in y/change in x

m = (4-2)/(-6+2) = 2/-4 = -1/2

Now we have:

y = (-1/2)x + b

Now substitute point (-6,4)

4 = (-1/2)(-6) + b

4 = 3 + b

b = 1

So y = (-1/2)x + 1 is the equation

ANSWER:

[tex]y=(-\frac{1}{2})x[/tex]+1

so letter c

Simplify by combining like terms:

n − 10 + 9n − 3

Answers

Answer:

10n-13

Step-by-step explanation:

10n-13 is the answer

I don't understand what to do or how to solve it

Answers

Answer:

120 degrees

Step-by-step explanation:

the angle at the center is called the central angle and you can tell because J is the center of the circle

The minor arc that is between point H and point K (the shorter way) is the same measure as the central angle

if radius equals 3 and the arc that bounds that sector is 40° what is the sector area and arc length equal?

Answers

Answer:

Sector area= 3.143 units²

Arc length = 2.095 units

Answer:

arc length = 3 * 40° * (PI / 180)

arc length = 2.0943951024

sector area = (radius * angle (radians))

sector area = (3 * 0.6981317008)

sector area = 3.1415926536

Source: https://www.1728.org/radians.htm

Step-by-step explanation:

2x + 8y = 4
x = -3y + 5

Answers

Answer:

(

x

,

y

)

=

(

26

5

,

6

5

)

Step-by-step explanation:

Rectangle ABCD is rotated by 90 degrees clockwise about the origin then translated 3 units left and 2 units down to form A'B'C'D


What is the length, in units of line segment A'B' in the resulting figure?

Answers

The length in units of the line segment A'B' in the resulting figure is the same as the length of line segment AB in the previous rectangle.

Translation of shapes in the Cartesian plane

Form the task content;

It follows that the initial rectangle A is only translated and hence, the size of each of its sides remains constant.

The translation which occurs on the rectangle only shifts the whole rectangle leftward and downward and hence, each line segment in the rectangle still retains its length.

Read more on translation in the Cartesian plane;

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Assume that 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A. What is the approximate probability that someone that gets an A actually studied for the Psychology test

Answers

The probability that someone that gets an A actually studied for the Psychology test is 0.15 or 15% if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Let A = the students get an A

Let B = the student's studied for the psychology test

We know that probability:

P(B) = 60% = 0.60  and

P(A/B) = 25% = 0.25

We know that:

[tex]\rm P(A/B) = \frac{P(A\cap B)}{P(B)} = 0.25[/tex]

Now the probability that someone that gets an A actually studied for the Psychology test:

P(A∩B) = P(B) ×0.25

P(A∩B)  = 0.60×0.25

P(A∩B)  = 0.15

Thus, the probability that someone that gets an A actually studied for the Psychology test is 0.15 if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.

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a , b , c , d ???????????

Answers

Answer:

c

Step-by-step explanation:

if this is wrong im sorry...

Every third person on a list of soccer players is selected for a survey, What kind of sampling method is used?

Answers

The method which is used for every third person on a list of soccer players selected for a survey is known as systematic sampling.

What is a sample method?

The sampling method is the method of selecting the subset from the set to make a statical inference.

Because of its simplicity, systematic sampling, also known as the nth name selection approach, is frequently employed instead of random sampling. Following the collection of the sample, every nth person of the population is registered in the sample.

Thus, the systematic sampling method is used.

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Hey there! Can anyone help me out with this? I need help with both of these. Will give brainliest! :D

Answers

[tex]area = length \times width[/tex]

____________________________________________

c .

[tex]area = \frac{3}{8} \times \frac{4}{5} \\ [/tex]

[tex]area = \frac{4 \times 3}{4 \times 2 \times 5} \\ [/tex]

[tex]area = \frac{3}{2 \times 5} \\ [/tex]

[tex]area = \frac{3}{10} \: \: {cm}^{2} \\ [/tex]

_____________________________________________

d.

[tex]area = \frac{1}{4} \times \frac{3}{7} \\ [/tex]

[tex]area = \frac{3}{28} \: \: {m}^{2} \\ [/tex]

If d = the number of dogs, which variable expression represents the phrase
below?
the sum of the number of clogs and the 6 cats

Answers

Answer:

=d+6c

Step-by-step explanation:

I hope this is the right answer

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