What is the function rule for the line?
f (x) = 2x - 4
f(x)=-4x - 2
f(x) = 4x - 2
f (x)= -2x + 4

What Is The Function Rule For The Line?f (x) = 2x - 4f(x)=-4x - 2f(x) = 4x - 2f (x)= -2x + 4

Answers

Answer 1

Answer: f (x)= -2x + 4


Related Questions

Write 3.278 correct to 1 decimal place.

Answers

Answer: 0.3278

PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!!

Which equation is equivalent to the given equation
x = x² - 20

A) x^2 - x-20=0

B) x^2 +x -20 =0

C) x^2-x+20=0

D) x^2+x+20=0

Answers

A is equivalent to the given equation. X^2 and -20 will retain their same values, and x will be subtracted from both sides to make the equation equal 0.

The price of a sweater was reduced from $30 to $18. By what percentage was the price of the sweater reduced?
i need help

Answers

Answer: 12 it’s not that hard it’s subtraction 18 - 30 = 12
It’s 60%

Explanation: you divide 18 from 30

At a fast food restaurant, customers are asked if they want to "round up" their bill to the next highest dollar and
donate the additional money to charity. The cashier is instructed to tell the customer that their bill is X dollars and Y
cents. Assume that the values of Y are equally likely to be any value from 0 to 99 cents and that customers are equally
likely to "round up" regardless of the amount of their bill. The density curve below models Y, the donation amount.
(a) What is the shape of the distribution of donations?
Amount of donation (cents)
(b) What proportion of donations are at least 75 cents?

Answers

(a) The shape of the distribution of donations is rectangular.

(b) The proportion of donations are at least 75 cents id 0.24

(a)The density curve is rectangular in shape.

This indicates that donations are distributed uniformly.

(b) From the question, we have

The probability of donations at least 75 cents as follows:

[tex]P(X\geq 75) =\int\limits^a_b {\frac{1}{99-0} } \, dx \\[/tex]

Substituting the limits,  we get

[tex]P(X\geq 75) =\frac{99-75}{99} \\=\frac{24}{99} \\=0.24[/tex]

Probability:

Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

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DONT IGNORE PLEASE HELP! Identify the correct diagram and formula to find the measure of an interior angle of hexagon.

Answers

The formula to find the measure of an interior angle of a hexagon is [(n - 2)×180]/n. Hence, option C is correct.

What is a Polygon?

In geometry, a polygon is any enclosed curve made up of a collection of continuous line segments (sides) without any intersections.

Triangles (three sides), polyhedral (four sides), and pentagons are the three simplest polygons (five sides). Convex polygons are those in which none of the elongated sides overlap the polygon; concave polygons are those in which they do.

Equilateral refers to a polygon with equal angles. Equiangular shapes have equal internal angles on all sides. Regular polygons are any equilateral and equiangular polygons.

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Two customers went to a sports shop to buy baseball gloves. Each baseball costs the same amount, and each glove costs the same amount.


The first customer paid $60.00 for 4 baseballs and 2 gloves.


The second customer paid $84.00 for 5 baseballs and 3 gloves.


What was the cost, in dollars, of each baseball?


Question 7 options:


$8.50



$6.00



$5.25



$12.00

Hurry!!

Answers

The cost, in dollars, of each baseball is B. $6.00.

How to calculate the cost?

The first customer paid $60.00 for 4 baseballs and 2 gloves. This will be expressed as:

4b + 2g = 60

The second customer paid $84.00 for 5 baseballs and 3 gloves. This will be:

5b + 3g = 84

Collect both expressions

4b + 2g = 60

5b + 3g = 84

Multiply equation i by 3

Multiply equation ii by 2

12b + 6g = 180

10b + 6g = 168

Subtract

2b = 12

Divide

b = 12/2

b = 6

The baseball is $6.

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Find an nth-degree polynomial function with real coefficients satisfying the given conditions.

n=4;

i and 2i are zeros;

f(-1)=20

f(x) = ?

(Type an expression using x as the variable. Simplify your answer.)

Answers

The polynomial satisfying the given conditions is given as 2x⁴ + 10x² + 8.

What is a polynomial?

The polynomial is an algebraic expression in which no any terms has the power other than a whole number.

The degree of a polynomial is the highest power of one of its terms.

Given that,

The degree of polynomial is n = 4.

The zeros of the polynomial are i and 2i.

And, f(-1) = 20

Since, a polynomial with real coefficients have either real zeros or complex conjugate zeros.

Here, the given zeros of the polynomial are imaginary which implies that the remaining two zeros are the conjugate of the given two zeros.

Thus, the zeros of the given polynomial are i, 2i, -i and -2i.

The general form of a 4th degree polynomial is given as,

ax⁴ + bx³ + cx² + dx + e

Use the factor theorem to get,

ax⁴ + bx³ + cx² + dx + e =  K(x - i) (x - (-i)) (x - 2i) (x- (-2i))        (1)

⇒ ax⁴ + bx³ + cx² + dx + e = K(x² + 1) (x² + 4)                          (2)

Now, f(-1) = 20 which gives,

K((-1)² + 1) ((-1)² + 4) = 20

⇒ k = 2

Substitute K =2 in equation (2) to get,

ax⁴ + bx³ + cx² + dx + e = 2(x² + 1) (x² + 4)  

⇒ ax⁴ + bx³ + cx² + dx + e = 2(x⁴ + 5x² + 4)  

⇒ ax⁴ + bx³ + cx² + dx + e = 2x⁴ + 10x² + 8  

Hence, the nth-degree polynomial function with real coefficients satisfying n = 4 and zeros i and 2i is 2x⁴ + 10x² + 8.

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A Calculator salesman’s monthly income is $1500 salary plus a commission of 7% of his sales over $5000 what was his income the month that he sold $11,470 in calculators

Answers

$142428 income earned. A sales commission is a payment made to an employee after they successfully complete a task, typically selling a predetermined volume of goods or services.

What is commission?

A type of variable-pay compensation for goods or services sold are commissions. Salespeople are frequently encouraged and rewarded with commissions. Additionally, commissions can be created to promote particular sales habits. For instance, commissions may be decreased while providing significant discounts.

Let X be the sales for a man

so7% of sales=7x/100

Total that needs to be earned=$11470

So,

Total needs to be earned= salary +commission on sale

11470=1500+7x/100

11470-1500=7x/100

9970=0.7x

X=9970/0.7

X=142428

Therefore $142428 income earned .

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The quotient of 8 and the cube of a number.

Answers

By using division, it is obtained that

The Quotient of 8 and cube of 2 is 1

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division.

Divisor x Quotient + Remainder = Dividend.

Let the number be 2

cube of 2 = [tex]2^3 = 8[/tex]

Quotient of 8 and 8 = [tex]\frac{8}{8}[/tex] = 1

The Quotient of 8 and cube of 2 is 1

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A boy paid $11
for a bottle with a cork.
A bottle costs $10
more than a cork.
How much does a cork cost?

Answers

Step-by-step explanation:

A boy paid $11 for a bottle with a cork. A bottle costs $10 more than a cork. How much does a cork cost?

cork: c

bottle: 10c

c + 10c = 11

11c = 11

c = $1

A cork costs $1

Is f = 9 a solution to this equation?

4f = 36

Yes or no

Answers

Yes, as to find f, you have to divide both sides of the equation by 4 to have f on its own.

4f/4 = f
36/4= 9

4f=36
f= 9

Express 6 + √ − 81 as a simplified complex number

Answers

The given algebraic expression can be simplified as 6+9i.

Complex Number

A complex number is represented by the following form: a+bi, where a and b are real numbers.  The variables: a is the real part and bi imaginary part. See an example: 7 + 14i , then:

7 real part14i imaginary part

Regarding operations math, the same properties used for real numbers can be applied to complex numbers. And for solving the operations math with these numbers, it is important to know that i²= -1. Thus, 2i² = 2*(-1)= -2.

When you subtract or sum complex numbers, you can only subtract or sum: the real part with the real part of each complex number and the imaginary part with the imaginary part of each complex number. Here, you can see examples:

(5 + 2i) + (5 + 2i) = 10+4i

(4 + 9i) - (1 + 5i) = 1+4i

Therefore, the result for the  6 + √− 81 will be:

6+  √81i²

6+9i

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can you graph x+y greater than or equal to 500

Answers

A graph of the given inequality (x + y ≥ 500) is shown in the image attached below.

What is a graph?

In Mathematics, a graph simply refers to a type of chart that is typically used for the graphical representation of data on both the horizontal and vertical axes of a cartesian coordinate, which are the x-coordinate and y-coordinate.

Next, we would translate the word sentence into an inequality as follows:

x + y greater than or equal to 500 ⇒ x + y ≥ 500

Subtracting x from both sides of the inequality, we have the following equation:

x + y - x ≥ 500 - x

y ≥ 500 - x

Rearranging the equation in slope-intercept form, we have:

y ≥ -x + 500

In conclusion, we can reasonably and logically deduce that both the x-intercept and y-intercept of this linear inequality (equation) is equal to 500.

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A company's policy is to spend no more than $350,000 a year for salaries. The president's salary is $110,000. The salaries of the eight other employees are equal. How much can be spent on each salary?

Answers

350 000 - 110 000= 240 000
240 000 / 8 = 30 000

Answer = 30 000


Johnny recently hired a cleaning company to clean his home. The cleaning company charges
a service fee of $46 and $12 for each cleaning visit. Johnny has a monthly cleaning budget of
$130. How many cleaning visits can Johnny afford? answer?

Answers

2 cleaning visits Johnny would be able to afford because 46+12=$58 per visit 130/58=2.24 or 58+58=$116 and then 130-116=14 those $14 aren’t enough for another cleaning visit so 2 cleaning visits is all johnny can afford

Which ratio is equivalent to 9 : 180?

Answers

Answer:

18:360 is the correct answer

Dr. Ortega gave Austin, one of her patients, 180 micrograms of medication. Based on Austin's height and weight, she expects that there will be about 162 micrograms remaining in his body after one hour. Dr. Ortega knows that the amount of medication remaining in Austin's body will continue to decrease each hour.
Write an exponential equation in the form y=a(b)x that can model the amount of medication in Austin's body, y, x hours after the medicine was administered.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
To the nearest microgram, how much of the medication can Dr. Ortega expect to remain in Austin's body after 6 hours?
micrograms

Answers

The exponential function that can model the amount of medication in Austin's body, y, x hours is of: [tex]y = 180(0.9)^x[/tex]

What is the exponential function?

The definition of the exponential function is presented as follows:

[tex]y = a(b)^x[/tex]

The parameters a and b are listed as follows:

a is the amount when x = 0.

b is the rate of change.

Given that the initial dose was of 180 micrograms, hence the parameter a is;

a = 180.

After one hour, the concentration was of 162 micrograms, hence the parameter b is;

b = 162/180 = 0.9.

Hence the equation is:

[tex]y = 180(0.9)^x[/tex]

After six hours, the concentration is given as;

[tex]y = 180(0.9)^6[/tex]= 96 micrograms.

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efetue as adições 3/4 + 1/2​

Answers

Decimal form : 1.25
Fraction form : 3/4 + 1/2
= 3/4 + 1x2/2x2
= 3/4 +2/4
= 3+2/4
= 5/4 = 1 1/4

help help help
like factoring it

[tex]\frac{1}{3}b-\frac{1}{3}$[/tex]

Answers

The factoring is the representation of a polynomial in multiplication term thus the factoring of (1/3)b - 1/3 will be 1/3(b - 1).

What is an algebraic factor?

An algebraic factor is the multiplication of two algebraic terms.

That term could be in form of summation multiplication or in subtraction.

The root of the quadratic equation formed by the algebraic factor is always real.

As per the given polygon,(1/3)b - 1/3

Take 1/3 as common in the whole polygon,

1/3(b - 1).

Since the terms 1/3 and (b - 1) both are in the multiplication of each other.

Hence "The factoring is the representation of a polynomial in multiplication term thus the factoring of (1/3)b - 1/3 will be 1/3(b - 1)".

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To serve 1 person at a local restaurant, it takes 10 minutes. To serve 5 people, it takes 18
minutes. Write and solve an equation to find the number of minutes it will take to serve a party of 8.

Answers

Answer:

8 people=24 minutes

Step-by-step explanation:

(1,10)(5,18)=18-10/5-1= 8/4 =2

y-8=2(x-4)

Solve the equation for y in terms of x
8x=1-3y
enclose numerator and denominators in parentheses

Answers

The value of y in the equation in term of x is y= (1-8x)/(3)

What are algebraic equations?

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. For example, 8x = 1-3y is an algebraic equation with two variables x and y with coefficient 8 and 3 respectively and 1 is the constant.

The value of y can there be solved by firstly making 3y the subject of formula

3y= 1-8x

dividing both sides by 3

3y/3= (1-8x)/3

therefore y= (1-8x)/(3)

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5 pounds=______ounces

Answers

Answer:

Step-by-step explanation:

1. Basic systems in fluids: 1 pound equals 16 ounces.

2. Multiply 16 ounces by 5 to become equivalent!

16 ounces*5= 80 ounces!

3. Always double check

80 ounces/16=5 pounds

Answer: 80 ounces

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The correct representations of the given inequality -3(2x - 5) < 5(2 - x) include the following:

-6x + 15 < 10 - 5xAn open circle is at 5 and a bold line starts at 5 and is pointing to the right.

What is an inequality?

An inequality simply refers to a mathematical relation that can be used to compare two (2) or more numbers and variables in an algebraic equation, especially based on any of the following inequality symbols:

Greater than (>).Greater than or equal to (≥).Less than (<).Less than or equal to (≤).

For this exercise, we would evaluate and simplify the given inequality so as to enable use determine its solution as follows:

-3(2x - 5) < 5(2 - x)

Opening the bracket, we have:

-6x + 15 < 10 - 5x (correct representation)

Rearranging the algebraic equation by collecting terms, we have:

-6x + 5x < 10 - 15

-x > -5

x > 5 (correct representation)

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please help 25points, please show how you did it

Answers

Answer:

Angle 1: 27

2: 153

3: 58

4: 138

Step-by-step explanation:

1. 180-(116+37)=27

2. 180-27=153

3. 180-(48+74)=58

4. 122+16=138

180-138=42

180-42=138

A new cruise ship line has just launched 3 new ships: the Pacific Paradise, the Caribbean Paradise, and the
Mediterranean Paradise. The Caribbean Paradise has 23 more deluxe staterooms than the Pacific Paradise. The
Mediterranean Paradise has 30 fewer deluxe staterooms than three times the number of deluxe staterooms on the
Pacific Paradise. Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms
for the three ships is 518.

Answers

Answer:

Mediterranean Paradise has 30 fewer deluxe staterooms than three times the number of deluxe staterooms on the

Pacific Paradise.

Step-by-step explanation:

what is the momentum of an automobile with a mass of 1200 kilograms moving at 6 meters per second

Answers

The momentum of the automobile is 7200 kgm/s

What is momentum?

Momentum can be described as the product of the velocity and mass of an object.

It is a vector quantity which is defined as a quantity having both magnitude and  direction.

The formula for calculating momentum is expressed as;

p = mv

Where;

p is the momentum of the objectm is the mass of the objectv is the velocity of the object

Now, let's substitute the values

p = 1200(6)

expand the bracket

p = 1200 × 6

Multiply the values

p = 7200 kgm/s

Hence, the value is 7200 kgm/s

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A group of elementary school students designed a study to find a possible relationship between the number of students absent from school and the overall rate of flu infections in their town. Which of the following is a correct pairing of possible null and alternative hypotheses for this experiment?

Answers

The possible pair of null and alternative hypotheses for this experiment is   "The null hypothesis is that the flu infection rate has no impact on the number of students absent from school.

The alternative hypothesis is that as the flu infection rate increases, the number of students absent from school also increases."

Hypotheses

Hypotheses refers the testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

Given,

A group of elementary school students designed a study to find a possible relationship between the number of students absent from school and the overall rate of flu infections in their town.

Here we need to find the correct pairing of possible null and alternative hypotheses for this experiment.

Here the given situation is relationship between  the number of students absent from school and the overall rate of flu infections in their town.

So, the null hypotheses of this relation is flu infection rate has no impact on the number of students absent from school

And the alternative hypotheses of the relation is defines that the flu infection rate increases, the number of students absent from school also increases.

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Answer:

Step-by-step explanation:

The null hypothesis is that the flu infection rate has no impact on the number of students absent from school.

The alternative hypothesis is that as the flu infection rate increases, the number of students absent from school also increases.

Sixth grade > P.9 Add and subtract rational numbers GDR Add.
[tex] \frac{ - 3 \10{ + }{ - 9 \times \ \frac{910}{?} {?}{?} ?} {?} [/tex]
-
[tex] \frac{ - 3}{10 } + - 9 \times \frac{9}{10} =[/tex]

Answers

The result of the expression (-3/10) + -9 × 9/10 is -42/5

The expression is

(-3/10) + -9 × 9/10

The expression is the mathematical statement that consist of different variables, numbers and the mathematical operators.

The expression is

(-3/10) + -9 × 9/10

Here we have to do the suitable arithmetic operations

First do the multiplication in the given expression

= (-3/10) + (-9×9)/10

= (-3/10) + -81/10

Add the terms in the expression

Here the denominator of the both term is equal so we just need to add the numerators

= (-3 + -81) / 10

= (-3 - 81) / 10

= -84 / 10

Divide both numerator and denominator by 2

= -42/5

Hence, the result of the expression (-3/10) + -9 × 9/10 = -42/5

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Who wants brainliest? First right answer first serve

Answers

Step-by-step explanation:

i marked where to put them

Solve: √x-4= -2
a) x=2
b) x=8
c) There is no solution.
d) x=0

Answers

The solution of the square root equation is x = 8

What is a square root?

A square root is a number such that when multiplied by itself, it gives another number.

The square root of a number x is given by √x

How to solve the square root equation?

Given the square root equation above, we have that

√(x - 4) = - 2

To solve this equation, first, we remove the square root by squaring both sides of the equation. So, we have that

√(x - 4) = - 2

√(x - 4)² = (- 2)²

x - 4 = 4

Adding the number 4 to both sides of the equation, we have that

x - 4 + 4 = 4 + 4

x + 0 = 8

x = 8

So, the solution of the equation is x = 8

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Other Questions
1. Calculate arithmetic mean from the following data. 50, 60, 70, 80, 65, 70, 90 Two customers went to a sports shop to buy baseball gloves. Each baseball costs the same amount, and each glove costs the same amount.The first customer paid $60.00 for 4 baseballs and 2 gloves.The second customer paid $84.00 for 5 baseballs and 3 gloves.What was the cost, in dollars, of each baseball?Question 7 options:$8.50$6.00$5.25$12.00Hurry!! Sherry has 15,200 dollars to invest in mutual funds and in bonds. Sherry has selected a mutual fund that earns 1% a year and a bond that earns 4% a year. If she wants to earn 548 at the end of the first year, how much does she need to invest in each type of account? a coin is altered so that the probability that it lands on heads is less than 1 2 12 and when the coin is flipped four times, the probability of an equal number of heads and tails is 1 6 16. what is the probability that the coin lands on heads? one of the allegations in a recent fraud was that confirmations of account balances to various banks were determined to be forgeries. auditing standards state that an audit rarely involves the authentication of documentation, nor is the auditor trained as or expected to be an expert in such authentication. what steps could the auditors have taken to ensure that bank confirmations were reliable? when betty crocker introduced its asian favorites and mexican favorites flavors of its helper line, it gave special offers to supermarkets to carry the new product and supplemented these offers with consumer advertising. betty crocker's primary objective is to Please Help Me Fast This Is Due Tomorrow!!!!!!!!! Arjun bought a trading card for $12. Five years later, the card is now worth $25. By what percent did the worth of the card increase? Round to the nearest whole percent, if needed. market offerings which have elements of both a product and service, and focus on how they make customers feel are called From February 2022, until today, the world has plunged into an economic recession due to the war in Ukraine. How has this affected Europe's inflation, interest rates, stock markets, and GDP?What is the expected outcome before the end of the year and in the first quarter of 2024?Question:What do you expect to happen to the yields on European Sovereign Debt? Why? Write down an equation representing the liquidity premium theory of the term- structure of interest rates. Explain the intuition behind your model. Given that bond, traders expect inflation will change even further in 2022-23, draw and explain the shape of todays yield curve (for 3mth - 2 year notes) please help 25points, please show how you did it 5. Beth is driving her car down the street when Tom, who was behind a bush, tries to run across the street. Beths car strikes Tom. Beth knew that her cars brakes were bad.1. Beth is responsible for the accident.2. Beth is not negligent.3. Tom is the only negligent party to this happening.4. None of the above. Using the pictures to help you tell what everyone is doing today. which of the following are signs of alcohol poisoning? 1. skin is cold and clammy. 2. all of the answers are correct. 3. breathing rate is slow or irregular. 4. vomiting and then loss of consciousness The following table shows examples of the various levels of ecological organization:Ecological levelOrganismPopulationCommunityEcosystemBiomeWhich of the following statements corrects the error in the table?Organisms should show the different species of bears.Population should show different organisms other than polar bears.Community must include at least three species or an abiotic factor.Ecosystem must include an abiotic factor in the environment with the animals.ExamplePolar bearSleuth of polar bears.Polar bears and penguinsPolar bears, penguins,and sealsArctic tundra which organization has primary standard setting authority over private not-for-profit organizations? Refer to the data. Suppose that this bank currently has $6 million in excess reserves and that customers of this bank collectively write checks for cash at the bank in the amount of $6 million. As a result, the bank's excess reserves diminish to:A) $0. B) $6 million. C) $0. 72 million. D) $0. 84 million Prior to Christine days arrival. What was the culture or Lululemon?Help me fast! The image shows a rain forest ecosystem. The energy from plants, or producers, acts as the starting point of energy in the ecosystem. This energy is transferred to other organisms in the food web. In which two ways is the total amount of energy conserved in the ecosystem? Examples of effects of West African kingdoms involvement in the Atlantic Slave Trade include all of the following EXCEPTanswer choicesA. Slowed population growthB. Violence among West African societiesC. Delayed development of complex economiesD. Distrust of local government how does person life on Earth affect their experiences in the underworld