If f(x) = 4x² and g(x)=3x, what is (fg)(x)?
(fg)(x)=
(Simplify your answer.)

Answers

Answer 1

The multiplication of the given function is  (fg)(x) = 12[tex]x^3[/tex]

What is operations of the function ?

   Similar to how a function's constituent terms can be added, subtracted, multiplied, and divided, so can functions. These are to be noted as follows:

Addition f( x ) + g ( x ) means to combine two functions, and it may alternatively be expressed as ( f + g ) ( x )

It is possible to write ( f g ) ( x ) to represent the operation of subtracting the g(x) function from the f(x) function.

The two functions are multiplied together when you multiply f (x ) g (x), which can also be represented as (f g ) (x).

Division f (x)/g (x) means to split the two functions in half, and it can alternatively be expressed as (f/g)(x).

Here the given function ,

=> f(x) = 4[tex]x^2[/tex]

=> g(x)= 3x

Now (fg)(x) = f(x)*g(x)

=> (fg)(x)=  4[tex]x^2[/tex]*3x

=>  (fg)(x) = 12[tex]x^3[/tex]

Hence the  (fg)(x) = 12[tex]x^3[/tex].

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Related Questions

10 = 6/5 W
Solve the missing variable, W​

Answers

[tex]\framebox{w=$\dfrac{25}{3}$}[/tex]

Flip the equation:

[tex]\frac{6}{5} w=10[/tex]

Multiply both sides by [tex]\frac{5}{6}[/tex]:

[tex](\frac{5}{6} )\times(\frac{6}{5} w)=(\frac{5}{6} )\times(10)[/tex]

[tex]w=\frac{25}{3}[/tex]

Helppp meee !!
It’s due today !!

Answers

Answer:

-8

Step-by-step explanation:

i think

Answer:

Your answer is -8

Step-by-step explanation:


The diagram shows a triangle. Complete parts a and b below. (4 points)
53⁰
8p+10°
2p+17°

A- write an equation and solve for p. Show all work.
B-List the measures of the three angles.

Answers

The value of p is 10 and the angles of the triangles are 53°, 90°, 37°.

Given that,

In the picture there is a triangle with angles 53°, 8p+10°, 2p+17°.

We have to find the p value and each of the angles also.

What is angles in triangles?

While the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it, the interior angles of a triangle always add up to 180°. By deducting the angle of the target vertex from 180°, one can also determine a triangle's exterior angle.

Take the angles ,

180 degrees is the sum of the angles in an triangle.

53°+ 8p+10°+ 2p+17°=180°

10p+80°=180°

10p=180°-80°

10p=100°

p=100/10

p=10°

The value of p=10.

The angles of the triangles are:

53°

8p+10=8(10)+10=80+10=90°

2p+17=2(10)+17=20+17=37°

Therefore, The value of p is 10 and the angles of the triangles are 53°, 90°, 37°.

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Question Solve the equation. −2 1/4=r−4/5 r=

Answers

Answer:

[tex]r=\frac{21}{20}[/tex]

Step-by-step explanation:

Given the following question:

[tex]\frac{1}{4} =r-\frac{4}{5}[/tex]
Add 4/5s on both sides:
[tex]-\frac{4}{5} +\frac{4}{5} =0[/tex]
[tex]\frac{1}{4} +\frac{4}{5}[/tex]
Find the LCM:
[tex]\frac{5}{20}+\frac{16}{20}[/tex]
[tex]\frac{5+16}{20}[/tex]
[tex]\frac{21}{20}[/tex]
[tex]r=\frac{21}{20}[/tex]

Hope this helps.

let's firstly convert the mixed fraction to improper fraction, now keeping in mind that the LCD of the denominators 4 and 5 is 20, let's use that LCD to do away with the denominators.

[tex]\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{9}{4}=r-\cfrac{4}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( -\cfrac{9}{4} \right)=20\left( r-\cfrac{4}{5} \right)}\implies -45=20r-16 \\\\\\ -29=20r\implies -\cfrac{29}{20}=r\implies -1\frac{9}{20}=r[/tex]

Anyone can help on this one ?

Answers

Pffffffffff you are crazy

Answer:

model a is more benfit the other one b/c of by hard working effort from b

Consider a particle moving along the x-axis where
x(t)
is the position of the particle at time t,
x ′(t)
is its velocity, and
x ″(t)
is its acceleration

Answers

Regarding the velocity and acceleration functions, it is found that:

b) The particle is moving to right on these following intervals: (0,1) U (3,10).

c) The velocity when the acceleration is of zero is: -1 m/s.

When a particle is moving to right?

A particle is moving to right when it's velocity is positive.

In this problem, the velocity function is presented as follows:

v(t) = 3t² - 12t + 9.

The velocity function is a concave up quadratic function, which is positive to left of the smaller root and to the right of the larger root.

The roots of the function are given as follows:

v(t) = 3(t² - 4t + 3)

Then:

3(t² - 4t + 3) = 0

t² - 4t + 3 = 0

(t - 1)(t - 3) = 0.

t - 1 = 0 -> t = 1.t - 3 = 0 -> t = 3.

Considering the domain of the function, the intervals in which the car is moving right are:

(0,1) U (3,10).

What is the velocity when the acceleration is of zero?

The acceleration is given by the following equation:

a(t) = 6t - 12.

It is of zero when:

6t - 12 = 0

6t = 12

t = 12/6

t = 2.

The velocity at this instant is of:

v(2) = 2² - 4(2) + 3 = -1 m/s.

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The data from a simple random sample with 25 observations was used to construct the plots given below. The normal probability plot that was constructed has a correlation coefficient of 0.975. Judge whether a t-interval could be constructed using the data in the sample.

Answers

It could be said that the normal probability plot does not suggest that the data could come from a normal population, even though the boxplot does not show any outliners, so a t- interval could not be constructed.

If the data from a simple random sample with 25 observations was used to construct the plots given below. The normal probability plot that was constructed has a correlation coefficient of 0.975., on analysing

The normal plot does not suggest that the data could come from a normal population, even though the boxplot does not show any outliners, so a t- interval could not be constructed.

Therefore,  It could be said that the normal plot does not suggest that the data could come from a normal population, even though the boxplot does not show any outliners, so a t- interval could not be constructed.

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25.0 feet

50.0 feet

20.6 feet

19.4 feet

Answers

Using the Pythagorean Theorem, the approximately length of ladder is 20.6 feet

As we know Michael is standing on roof of his house.

He stands 5 feet away from his house

The ladder touches the point 20 feet above the ground and where the Michael standing

In this order we have to find the approximately length of ladder

From this question we can clearly figure out that in this question we have:

Perpendicular= 20 feet

Base = 5 feet

So as we can understand that we have to use Pythagorean Theorem

Pythagorean Theorem:

(Hypotenuse)^2 = (Perpendicular)^2+(Base)^2

(Hypotenuse)^2 = (20)^2+(5)^2

(Hypotenuse)^2 = 400+25

(Hypotenuse)^2 = 425

Hypotenuse=square root(425)

Hypotenuse=20.6 feet

Hence, the approximately length of ladder is 20.6 feet

So the option C is correct.

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Suppose that 12 inches of wire cost 48 cents at the same rate how many inches of wire can be bought for 28 cents

Answers

Answer:

7 in

Step-by-step explanation:

If 12 inches of wire can be bought for $0.48, we can set up the following ratio:

[tex]\frac{12\text{ in}}{\$0.48}[/tex]

Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:

[tex]\frac{12\text{ in}}{\$0.48}=\frac{x}{\$0.28}[/tex]

Then, cross-multiply and solve for [tex]x[/tex]:

[tex]\$0.48x=(\$0.28)(12)[/tex]

[tex]\$0.48x=\$3.36[/tex]

[tex]x=\frac{\$3.36}{\$0.48}[/tex]

[tex]x=7[/tex]

rewrite 3x+4y>8 in slope intercept form

Answers

Answer: y > -3/4x + 2

Step-by-step explanation:

To go to the theater you would pay $8.00 for each ticket you purchase. Which answer choice correctly represents the algebraic expression for the cost of t tickets?
A. 8t
B. 8 + t
C. 8 – t
D.

Answers

The algebraic expression that correctly represents the cost of t tickets is 8t , the correct option is (a) .

In the question ,

it is given that

the cost of 1 ticket for the theater is = $8.00

let the number of ticket be = t

so , the cost for t tickets = (cost of 1 ticket ) × ( number of tickets )

Substituting the values of number of tickets and cost of 1 ticket ,

we get ,

cost for t tickets = 8 × t

= 8t

Therefore , The algebraic expression that correctly represents the cost of t tickets is 8t .

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Find all zeros of f(x) = x³ - 4x² - 5x + 14. Enter the zeros separated by commas. Enter exact values,
using radicals and/or fractions if necessary, not decimal approximations.
Question Help: Message instructor
Check Answer
Jump to Answer

Answers

Answer: x=-2, x=3+[tex]\sqrt{2}[/tex], 3-[tex]\sqrt{2}[/tex]

Step-by-step explanation:

f(x) = x³ - 4x² - 5x + 14

-2    |    1    -4     -5     14

                -2      12   -14

           1    -6       7     0

x³ - 4x² - 5x + 14 = (x+2)(x²-6x+7)

x²-6x+7=0

x²-6x+9-2=0

(x²-6x+9)-2=0

x²-6x+9=2

x²-3x-3x+9=2

x(x-3)-3(x-3)=2

(x-3)²=2

x-3=[tex]\sqrt{2}[/tex], -[tex]\sqrt{2}[/tex]

x=3+[tex]\sqrt{2}[/tex], 3-[tex]\sqrt{2}[/tex]

Hence, zeroes are x=-2, x=3+[tex]\sqrt{2}[/tex], 3-[tex]\sqrt{2}[/tex]

Step-by-step explanation:

our first "suspicion" for a factoring is an integer factor of the constant term : 14.

14 = 2 × 7 or -2 × -7

I started to try 2 or -2 and found that -2 is indeed a zero solution.

so, the first factors are

f(x) = (x + 2)(x² + ...)

let's divide (x³ - 4x² - 5x + 14) by (x + 2) to get the x² term.

x³ - 4x² - 5x + 14 ÷ x + 2 = x² - 6x + 7

- x³ + 2x²

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

0 -6x² - 5x

- -6x² - 12x

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

0 7x + 14

- 7x + 14

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

0 0

f(x) = (x + 2)(x² - 6x + 7)

the zeros for x² - 6x + 7 we get from the general solution for a quadratic equation

ax² + bx + c = 0

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = (6 ± sqrt((-6)² - 4×1×7))/(2×1) =

= (6 ± sqrt(36 - 28))/2 = (6 ± sqrt(8))/2 =

= 3 ± sqrt(8/4) = 3 ± sqrt(2)

x1 = 3 + sqrt(2)

x2 = 3 - sqrt(2)

so, the zeros are

-2, 3 - sqrt(2), 3 + sqrt(2)

Mike has some t-shirts. 1/4 of the
t-shirts are pink, 1/2 of the
remaining tshirts are white and the rest are
purple. What fraction is purple?

Answers

Mike has some t-shirts. 1/4 of the t-shirts are pink, 1/2 of the remaining t-shirts are white and the rest are purple, then the fraction of purple is 3/8

Mike has some t-shirts

The fraction of pink t-shirts = 1/4

The remaining t-shirts = 1 - (1/4)

= 3/4

1/2  of the remaining t-shirts are white

Then the fraction of white t-shirt = 3/4 × 1/2

= 3/8

The fraction of purple t-shirt = 1 - (1/4 + 3/8)

= 3/8

Hence, Mike has some t-shirts. 1/4 of the t-shirts are pink, 1/2 of the remaining t-shirts are white and the rest are purple, then the fraction of purple is 3/8

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Question 1 (Multiple Choice Worth 5 points) (Graphing Proportional Relationships MC) The table shows a proportional relationship between x and y. x 4.3 9.2 3.4 y 17.2 36.8 13.6 Which of the following correctly describes the graph of the relationship? a.A line that goes through (0, 0) and (17.2, 4.3). b.A line that goes through (4.3, 17.2) and (36.8, 9.2). c.A line that goes through (17.2, 4.3) and (9.2, 36.8). d.A line that goes through (0, 0) and (4.3, 17.2).​

Answers

The statement that correctly describes the graph of the relationship is (d) A line that goes through (0, 0) and (4.3, 17.2).​

How to describe the graph?

The table of values is given as

x 4.3 9.2 3.4

y 17.2 36.8 13.6

The table shows a proportional relationship

This means that the line of the graph must pass through the origin i.e. (0, 0)

From the table of values, we have the following point

(4.3, 17.2)

This means that the line of the graph goes through (0, 0) and (4.3, 17.2).​

Hence, the true statement is (d)

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Answer:

No, it is not proportional because 9.2 over 18.4 does not equal 17.6 over 52.8.

Step-by-step explanation:

Luis bought a $2,100 TV and had to make a 20% down payment at the time of purchase. What was his down payment price?

Answers

Answer:

Luis had to make a $420 down payment

Step-by-step explanation:

10%: $2,100 / 10 = $210

20%: $210 x 2 = $420

HELP, ASAP PLEASE. 15 POINTS! ( Only 1 picture is attached)

Answers

The concentration of the type of antibiotic after 4 hours is; 11.04 parts per million

How to find the input values of functions?

We are told that the equation that models the concentration in parts per million of a type of antibiotic in a human's bloodstream after h hours is;

A(h) = -0.06h² + 2h + 4

where h is the time in number of hours after which the concentration is recorded.

Now, we want to find the concentration after 4 hours and as such we will input 4 for h in the equation to get;

A(4) = -0.06(4²) + 2(4) + 4

A(4) = -0.96 + 12

A(4) = 11.04 parts per million

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What is the value of X? x(x² - 3x - 40) = 0

please show me how u solve it​

Answers

Answer: x = 0, 8, -5

Step-by-step explanation:

We are trying to solve what value we substitute x into to get the value of 0. We have x outside of (x² - 3x - 40), and we can set that equal to 0. That will be one value of x because we are still left with (x² - 3x - 40). To solve this, we can factor it out into (x-8)(x+5). Set each equal to 0, (x-8) = 0 which leaves us with x = 8, and (x+5) =0, which leaves us with x = -5.

One number exceeds another by 7. The sum of the numbers is 27. What are the numbers?
The numbers are
(Use a comma to separate answers.)
K

Answers

Answer:

10, 17

Step-by-step explanation:

let the number be n then the other number is n + 7 and

n + n + 7 = 27

2n + 7 = 27 ( subtract 7 from both sides )

2n = 20 ( divide both sides by 2 )

n = 10

n + 7 = 10 + 7 = 17

the numbers are 10, 17

9-(-0.87)-0.3 will someone please help me I can’t remember how todo this and my kid needs my help!

Answers

Answer: 9.57

Step-by-step explanation:

do 9 - -0.87 first.

that will give you 9.87

then you subtract 0.3

final answer: 9.57

Answer:

92

Step-by-step explanation:

3+3=6

If 8 g of a radioactive substance are present initially and 3 yr later only 4 g remain, how much of the substance will be present after 7 yrs?

Answers

Hi assume you are familiar with the term half life, which refers to the time it takes for something to reach half of its magnitude. In this case we can’t see that from 8 g originally we get to 4 g which is the half of it in 3 years. With all this information we can proceed to use the half life formula to calculate the amount of substance that will be present after 7 years.

The half-life formula states:


N(t) = initialPopulation * (0.5) ^ (expectedTime/half-lifeTime)

So:

N(7) = 8 * (0.5) ^ 7/3
N(7) = 1.587 g

There is presence of 1.587 g of radioactive substance 7 years later.

A rectangular fish tank has a base that is 4 inches by 9 inches. How much water will it take to fill the tank to a depth of 3 inches? A 150 cubic inches B 685 cubic inches C 108 cubic inches 16 cubic inches​

Answers

Answer:

C: 108 cubic inches

Step-by-step explanation:

This problem is simply asking us to calculate volume, and in a rectangular shape can be calculate as: length * width * height

Since we know that the base is 4 inches by 9 inches, we already have the length and width.

We're also given that the depth, which in this case is our height, as 3 inches.

So we multiply these three numbers: [tex]4 \text{ in} * 9 \text{ in} * 3\text{ in} = 108\text{ in}^3[/tex]

So our answer is 108 cubic inches

Given that 150 students were interviewed, 85 signed for mathematics, 70 signed for English, and 50 signed for both. Draw a venn diagram to show.

How many signed for only mathematics

Answers

Answer: 35

Step-by-step explanation:

If 85 students signed up for mathematics but 50 of those students also signed up for both then you need to subtract 85 from 50 to get 35.

Please helppppppppppp

Answers

Answer:

1

2

[

x

2

2

x

3

3

]

2

0

=

1

2

[

(

4

2

8

3

)

(

0

)

]

=

1

2

(

2

3

)

=

1

3

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) Find the circumference of a circle whose radius is 4 inches. Round to the nearest tenth.

b) Find the length of if mACB = 60º and the radius of the circle is 4 inches. Round to the nearest tenth.



Complete your work in the space provided.

Answers

The circumference of the circle is 25.1 inches.

The length of the arc ACB is 4.2 inches.

How to find circumference of a circle?

The circumference of a circle is the perimeter of the circle.

Therefore,

circumference of a circle = 2πr

where

r = radius

Hence,

circumference of a circle = 2 × 3.14 × 4

circumference of a circle = 8 × 3.14

circumference of a circle = 25.1 inches

The length of the arc ACB can be found as follows:

length of arc = ∅/ 360 × 2πr

length of the arc = 60 / 360 ×  2 × 3.14 × 4

length of the arc = 60 / 360 ×  25.12

length of the arc = 1507.2 / 360

length of the arc = 4.18666666667

length of the arc = 4.2 inches

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7v-7-4v-10=v+7-4v help now pleas

Answers

Answer:

v = 4

Step-by-step explanation:

[tex]collect \: like \: terms \: \\ 7v - 4v - v + 4v = 7 + 7 + 10\\ 3v - v + 4v = 14 + 10\\ \\ 2v + 4v = 24 \\ 6v = 24 \\ v = 4[/tex]

Juan is playing a game in which he can win $100 with probability 0.2, $300 with probability 0.3, and $500 with probability 0.5. What is the expected value of Juan's winnings?

Answers

Juan's winnings has an expected value of $360

How to determine the expected value of Juan's winnings?

The given parameters in the question are:

$100 with probability 0.2,

$300 with probability 0.3,

$500 with probability 0.5.

The expected value is then calculated as

E(x) = Sum of (amount * probability)

Substitute the known values in the above equation, so, we have the following representation

E(x) = 100 * 0.2 + 300 * 0.3 + 500 * 0.5

Evaluate

E(x) = 360

Hence, the expected value  is $360

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Scott must choose a number between 55 and 101 that is a multiple of 2,4, and 5. Write all the numbers that he could choose.

Answers

Answer:

60, 80, 100

Step-by-step explanation:

All 3 of these numbers are between 55 and 101, and can be divided by all 3 numbers provided.

Graph the solution of this inequality: 2x - 7 > 3 or 4 -x < -4

Answers

The solution for the given inequality has been graphed in detail.

What is linear inequality?

A linear inequality can be gives the values for a variable in an interval of numbers.

Given inequalities are as below,

2x - 7 > 3 and 4 - x < -4

They can be simplified as,

2x - 7 > 3    

=> 2x > 10    

=> x > 5

And,  

4 - x < -4

=> x - 4 > 4

=> x > 8

The solution of the given inequality is the intersection of two solutions x > 5 and x > 8, which is x > 8.

This is graphed as follows,

Hence, the given inequality has solution x > 8 which has been graphed.

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The hire purchase price of a refrigerator is $6509.A deposit of $500 is made and the reminder is paid in equal monthly payments of $250. Calculate the number of monthly payments that must be made.

Answers

Step-by-step explanation:

The hire purchase price of a refrigerator is $6509.A deposit of $500 is made and the reminder is paid in equal monthly payments of $250. Calculate the number of monthly payments that must be made.

amount paid over x months:  

$6509 - $500 = $6,009

Equal payments of $250:

$6,009 / $250 = 24.036 months of payments

[Depending on if they want the answer rounded up, answer may become 25]

Answer:

hire purchase= $6509

deposit=$500

monthly payment=$250

no of monthly payment that must be made=hire purchase - deposit divided by monthly payment

$6509-$500/$250=$6009/$250= 24.036 month

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gerry dickens, an energy engineer and petroleum geologist, determined that the source of this element came from . group of answer choices biological processes in swamps and bogs chemosynthesis along mid-ocean ridges the expulsion of methane by methane gas hydrates the melting of limestone bedrock by an impact event Which value of y makes the two matrices inverses of each other?[6 14]. [-1 -7/2][-2-4] [y. 3/2]-1/2-5/141/22 Elizabeth. (supporting herself against collapse, grips the bars of the window, and with a cry). He gave his goodness now. God forbid I take it from him! (p. 152)10. Explain what Elizabeth is saying about John Proctor. Please help now !!!!!! if the thymus shrank and stopped making thymosins, we would expect to see an immediate decrease in the number of a) b lymphocytes. b) nk cells. c) t cells. d) neutrophils. e) red blood cells. Members of the student government are planning a movie night on campus. They have asked a random sample of students which of four movies the student would prefer. Here are the results Movie A- 31 students, Movie B- 27 students, Movie C- 34 students, Movie D- 28 students. There are 900 students total on campus. Based on the above information, how many students on campus would we expect to prefer Movie C? Round your answer to the nearest whole number. Do not round any intermediate calculations Is mouse a proper noun 11/7 Thursday Math Math Hw. Fractions What is a likely consequence of a person waiting a long time to deliver bad news?. A triangle has sides with lengths of 26 inches, 36 inches, and 46 inches. Is it a right triangle?yes or no ASSIGNMENTFrank lives and works in a city. He owns numerous tracts of land in a county outside the city where he hunts and fishes. Mike, who has never met Frank, starts living in a cabin in a remote section of Frank's land. At first Mike just stayed on the week-ends, but for the last 22 years he has made the cabin his home and made improvements to it. Mike now claims the cabin and surrounding area he possesses is his property.Explain what factors represent each element of adverse possession. Will Mike get title to the land? Factor the expression (72a9b3 18a7b5) completely. Many more earthquakes occur along the San Andreas Fault in California than in other parts of the United States. Scientists claim that these earthquakes are caused by activity along a transform plate boundary.Which evidence would best support this claim?Subduction causes new crust to form.Subduction causes old crust to be destroyed.Plates slip past each other at the boundary.Plates collide with each other at the boundary.HELP ME NOW! what are the major dimensions of strategic management? multiple select question. assessing the purpose of an an organization responding to changes in the external market allocating scarce resources of the firm communicating objectives throughout an organization the most likely reason a firm would pay it sales representatives a commission rather than salary is that it wants to group of answer choices be able to deduct the cost of compensating the sales representatives from its taxable income give the sales representatives a stronger incentive to collaborate with each other and act as a team keep the pay system as simple as possible provide sales representatives with a strong incentive to generate more sales for the company previousnext Describe a visit to a home where you felt unwelcome write a composition suppose two nodes, a and b, are separated by 20,000 kilometers and are connected by a direct link of 1,000 mbps. suppose the propagation speed over the link is 2.5 x 108 m/sec. consider sending a file of 100,000,000 bits from node a to node b. suppose now the file is broken up into 20 packets with each packet containing 5,000,000 bits. suppose that each packet is acknowledged by the receiver and the transmission time of an acknowledgment packet is negligible. finally, assume that the sender cannot send a packet until the preceding one is acknowledged. how long in ms (milliseconds) does it take to send the file? 4What is thesugar source?A. where the sugars are neededB. what is used to transport the sugarsC. where the sugar is made this describe how hybrid cultures emerged in the americas and explain the connection between these cultures and enlightenment ideology. Which of the following is true in the elastic range of a firms demand curve? Answer: (C) A decrease in price will likely lead to an increase in total revenue. (Can someone explain to me how we get that answer?)