Find the equation for the line that passes through the point (1,-5) and that is perpendicular to the line with the equation y=1/3x-2/3

Answers

Answer 1

Answer:

y = - 3x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{3}\) x - \(\frac{2}{3}\) ← is in slope- intercept form

with slope m = \(\frac{1}{3}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{3} }\) = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (1, - 5 ) into the partial equation

- 5 = - 3 + c ⇒ c = - 5 + 3 = - 2

y = - 3x - 2 ← equation of perpendicular line


Related Questions

Is 83.77 an integer?

Answers

Answer:

It is not a integer, it is a rational number

Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!

Step-by-step explanation:

I am a quadrilateral.
• I have two pairs of parallel sides.
• All my sides are the same length.
Which name describes me the best?
rectangle
parallelogram
trapezoid
square
rhombus

I am a quadrilateral. I have two pairs of parallel sides. All my sides are the same length.Which name

Answers

Answer:

those criteria define a square or a rhombus

Step-by-step explanation:

if there was another fact about the angle measures, for example if it said all my angles are equal then it would be a square, not a rhombus

The graphs below show the sales of touchless thermostats, y, for the first 8 months last year. Both graphs show the same information.
Touchless Thermostat
Touchless Thermostat
Sales ($)
80,000
60,000
40,000
20,000
0
Sales
2
4
6
Months since
Start of the Year
Graph A
8
Sales ($)
40,000
30,000
20,000
10,000
0
Sales
To emphasize the slow increase in sales, it would be best for Samantha to use
Samantha should use this graph for her presentation because the sales
2
4 6 8
Months since
Start of the Year
Graph B
Samantha is preparing a presentation and wants to emphasize that the sales increased slowly over the first 8 months last year.
Complete the following sentences.
for her presentation.
Y
on this graph.

Answers

To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph

What is graph?

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

How to determine the appropriate graph?

The graphs that complete the question are added as an attachment

From the attached graph, we have the following highlights:

The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....

The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....

The above means that graph B is a misleading graph

Hence, Benjamin should use graph A for his report

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What triangle is ABD congruent too?What Theorem was used: SSS,SAS,ASA, or HL :)

What triangle is ABD congruent too?What Theorem was used: SSS,SAS,ASA, or HL :)

Answers

Triangle ABD is congruent to triangle CBD.

SAS

We know that 2 sides and 1 angle are equal.

You started a dog walking business. You spent $45 in start up costs and charge $12 per hour of
dog walking. How many hours must you walk before you have a minimum of $117?

You started a dog walking business. You spent $45 in start up costs and charge $12 per hour ofdog walking.

Answers

Answer:

7

Step-by-step explanation:

A carnival manager counted 275 ticket receipts after the first day of the carnival. The price for an adult ticket was 11.50

Answers

275 x 11.50 = 3,162.50

Given negative four and one sixth times negative three and fifteen hundredths, determine the product.

negative thirteen and one eighth
thirteen and one eighth
twelve and 1 over 40
twelve and 6 over 15

Answers

Option B. When we have negative four and one sixth times negative three and fifteen hundredths, the product is thirteen and one eighth.

How to find the product of the fraction

We can rewrite  negative four and one sixth times negative three and fifteen hundredths as

\(-4\frac{1}{6} *-3\frac{15}{100}\)

We have to solve this as an improper fraction

-25/6 * -63/20

1575/120

= 13 * 1/8

Hence we can conclude that when we have negative four and one sixth times negative three and fifteen hundredths, the product is thirteen and one eighth.

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The area of a rectangle is 48 m^2 the length is (x+2) and width is (x). What is the value of x?

Answers

Answer:

Please find attached pdf

Step-by-step explanation:


Question:-

The area of two similar triangles are 81 cm2 and 49 cm² respectively. If one of the sides of the first triangle is 6.3 cm, find the corresponding side of the other triangle.​

Answers

Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

To find \(\displaystyle\sf x\), we can solve the proportion above:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

Taking the square root of both sides:

\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)

Simplifying the square root:

\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)

Cross-multiplying:

\(\displaystyle\sf 9x = 6.3 \times 7\)

Dividing both sides by 9:

\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)

Calculating the value:

\(\displaystyle\sf x = 4.9\)

Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

let's assume that the corresponding side of the second triangle is .

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

To find , we can solve the proportion above:

Taking the square root of both sides:

Simplifying the square root:

Cross-multiplying:

Dividing both sides by 9:

Calculating the value:

Therefore, the corresponding side of the second triangle is 4.9cm


hope it helped u dear...........

Ira invests $4000 into an account that earns 0.6% simple interest annually. Which statement best describes the relationship between the number of years Ira has his money invested and the balance in any year

Answers

The Amount of money that she received at the end of the read is $4024, the relationship between the number of years Ira has his money invested and the balance in any year differs by $24 which is the simple interest.

Amount invested by Ira = P = $4000

The rate of Interest (r) = 0.6 %

Time period (t) = 1 year.

The simple interest is given by,

\(S.I. = \frac{P*r*t}{100}\)

Now, putting the values in the formula, we get:

\(S.I. = \frac{4000*0.6*1}{100} =24\)

Hence, the simple interest will be $24

Now, the Amount/balance that she received in the year is A = P +S.I

A = P+S.I.

A = 4000 +24 = $4024

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Answer:

The relationship is linear. His account increases each year by a constant value of $24.

Step-by-step explanation:

took the test

You own Company X. When you started the company, you initially invested $12,000.
You also borrowed $12,000 through a five-year (long-term) loan, of which you have
paid back $2,018. You have retained $1,291 in earnings to be reinvested in the
company, and you decided to put $1,000 of it aside for a long-term investment. The
company owns land and a building worth $8,878 and equipment worth $4,230. As of
today, the company has $8,250 in cash, $1,225 in inventory, and is due to receive
accounts worth $675. However, the company owes its suppliers $485 and has a
$500 loan to pay off in the next six months.

Answers

You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

What does "company" mean?

Businesses, a noun in plural. a group of people who are connected or who have joined together. a guest or guests: We're having people over for dinner. a collection of individuals together for social purposes. association, camaraderie, and fellowship She is a lot of joy to be around.

The Old French word "compagnie," which was first used in the Salic code and meaning "one who eats bread with you," is where the English word "company" originates. To describe a "society, friendship, closeness, or body of troops," it was first used in 1150.

You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

Total Amount to be when start the company is $12000 + $12000

= $24000

Out of which company owns land and a building worth $8,878 and equipment worth $4,230 and have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment.

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If a three-digit number is divided by 5 or by 6, remainder is 1 in each case. What is the least such three-digit number?

Answers

Answer:

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Step-by-step explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.

15
25
15
23
15
23
17
21
21
19
15
a.) The standard deviation is(round to two decimal places)
b.) The variance is(round to one decimal place)

c.) The range is

Answers

The answer is b Explanation; the variance has to be rounded to one decimal place

United flight 15 from New York’s JFK to San Francisco uses a Boeing 757-200 with 180seats. Because some people with tickets don’t show up, United willoverbook by selling more than 180tickets. If the flight is not overbooked, the airline will lose revenue due to empty seats, but if too many tickets are sold and some passengers are denied seats, the airline loses money from the compensation that must be given to bumped passengers. Assume that there is a 0.905 probability that a passenger with a ticketwill show up for the flight. Also assume that the airline sells200tickets for the 180seats that are available.

Answers

Answer:

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

Step-by-step explanation:

For each passenger, there are only two outcomes possible. Either they show up for the flight, or they do not show up. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which  is the number of different combinations of x objects from a set of n elements, given by the following formula.

And  is the probability of X happening.

A probability is said to be unusually low if it is lower than 5%.

For this problem, we have that:

There are 200 reservations, so .

A passenger consists in a passenger not showing up. There is a .0995 probability that a passenger with a reservation will not show up for the flight. So .

Find the probability that when 200 reservations are accepted for United Flight 15, there are more passengers showing up than there are seats available.

X is the number of passengers that do not show up. It needs to be at least 18 for the flight not being overbooked. So we want to find , with . We can use a binomial probability calculator, and we find that:

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

1
A red die is tossed and then a green. die is tossed.
What is the probability that the red die shows a
number larger than 4 or the green die shows a
number less than 2?
The two events are not mutually exclusive. So to find the
probability of the union, use:
P(A or B) = P(A) + P(B) - P(A and B)
[?]
P(A or B)
=
8
P(B)
Green die
What is the probability of the red die rolling a
P(A)
Red die
+
-
8)
P(B)
P(A)
Red die Green die
number greater than 4?
Enter your answer in simplest form.
Enter

Answers

On solving the provided question, we can say that the probability of the red die rolling is 16.67% probability = 0.1667

What is probability?

A branch of mathematics called probability theory determines the chance that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all possible outcomes.

red die, there are 3 numbers greater than 3 out of 6 numbers

Probability (A) = 3/6 = 1/2.

green die, there are 2 numbers less than 3 out of 6 numbers

Probability (B) = 2/6 = 1/3.

events are independent

P(A and B) = \(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667\)\(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667.\)

16.67% probability = 0.1667

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v x + 2 > 5.8

what does the v stand for

Answers

Answer:

Step-by-step explanation:

pl n. the letters used by the Romans for the representation of cardinal numbers, still used occasionally today. The integers are represented by the following letters: I (= 1), V (= 5), X (= 10), L (= 50), C (= 100), D (= 500), and M (= 1000).

Answer:

v =2.9

kshsjabsvsjdkabscd

How do I deal with family problems? Please help

Answers

Answer:

kill them. babsbvsvzvsbs

Hey, if it’s social problems (you feel like you’re distanced from them) try to get quick mutual conversation in every now and then, if it’s an argument, try to apologize and switch topics quickly, if it’s abusive, please report it to your friends or other family, hope this helps <3

/////////////////////////////////////////////////

/////////////////////////////////////////////////

Answers

Answer:

341

Step-by-step explanation:

We observe the pattern:

1, 5, 13, 25, ..

It can be put as:

0 + 1, 1 + 4, 4 + 9, 9 + 16, ..

or

0² + 1², 1² + 2², 2² + 3², 3² + 4², ..

The nth term is going to be:

(n - 1)² + n²

The sum of the 31 terms will be:

N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²

or

N = 2(1² + 2² + 3² + ... + 30²) + 31²

Use the formula for sum of the first n squares:

1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6

The sum N equals:

N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²

And the value of N/31 is:

10*31 + 31 = 341

Verilenlerden
hangisi birim
kesirdir?
2/5
B
5/8
2/3
D

Answers

Answer:

2/3 ..................

Can someone help me

Can someone help me

Answers

Answer:

B: (-6, -1)

Step-by-step explanation:

6+x/2 = 0

6+x = 0

x = -6

-5+y/2 = -3

-5 + y = -6

y = -1

Answer:

(-6,-1)

Step-by-step explanation:

We can use the midpoint formula here to find the coordinates of B . Given data :-

A(6,-5) M(0,-3)

Let B be B(p , q) . Then ,

=> M = ( x₁ + x₂/2 , y₁ + y ₂ /2 )

=> (0 ,-3) = ( 6 + p/2 , -5+q/2)

On comparing

=> 0 = 6 + p/2

=> 6 + p = 0

=> p = (-6)

Similarly

=> -3 = -5+q/2

=> -5+q = -6

=> q = 5-6

=> q = (-1)

Hence the coordinates of B is (-6,-1) .

Determine if it is possible to form a triangle using the set of segments with the given measurements.

4.5 in., 5.6 in, 10 in.

a) No, adding all three sides does not add up to the correct measurements.

b) No, because two sides add up to less than the third one.

c) No, because two sides add up to more than the third one.

d) Yes, because two sides add up to less than the third one.

e) Yes, because two sides add up to more than the third one.

Answers

Answer:

e) Yes, because two sides add up to more than the third one.

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

Apply the Triangle Inequality Theorem.

It states that:

For a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side.

We'll take the sum of two shortest sides and compare with the longest:

4.5 + 5.6 = 10.1 > 10

It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.

The matching answer choice is e).

The value of one score in a distribution is changed from X = 20 to X = 30. Which measure(s) of central tendency is (are) certain to change?

Answers

Answer:

Mean

Step-by-step explanation:

The three basic measures of central tendencies are mean, median and mode.

Mean can be described as the average value of a set of numbers or scores in a distribution.

One of the ways the mean can be calculated is by dividing the sum of the scores in a distribution by the number of scores in the distribution. This can be represented mathematically as follows:

Mean = Sum of the scores in a distribution / Number of scores in the distribution ........ (1)

Median is the middle number when the scores in a distribution is arranged in ascending or descending order.

Mode is the most frequent number or score in a distribution.

Out of the three basic measures of central tendencies only the mean will certainly change when there is a change in one of the scores. This is because, we can still have the same score as the most frequent and the same number as the median but the mean will change.

For example, we can prove that the mean will certainly change if we assume that the sum of the scores in a distribution is 200 and number of scores in the distribution is 10, wee can substitute this into equation (1) and have:

Mean = 200 / 10 = 20

Now, as given in the question, if the value of one score in the distribution is changed from X = 20 to X = 30. We can obtain the difference as follows:

Difference in score = 30 - 20 = 10

The new mean can be calculated as follows:

New mean = (200 + Diffrence in score) / 20 = (200 + 10) / 20 = 210 / 20 = 21

Therefore, the mean changed by 1 from 20 to 21. This therefore proves that the mean will certainly change.

Of the measures of central tendency, the measure which will certainly change is the mean.

Measures of central tendency include mean, median and mode of a distribution.

The mean refers to the average, hence, the a change in one value in the distribution would certainly change the mean of the distribution.

The mode refers to the highest occurring value in the distribution.

Median denotes the number at the middle of a distribution once it is arranged in order of magnitude.

For instance :

2, 2, 10, 15, 20

The mean = (2 + 2 + 10 + 15 + 20) / 5 = 49/5 = 9.8

Mode = 2 (highest occuring)

Median = 10 (middle value)

If X = 20 is changed to X = 30

2, 2, 10, 15, 30

The mean = (2 + 2 + 10 + 15 + 30) = 59/5 = 11.8

Mode = 2 (highest occuring)

Median = 10 (middle value)

Therefore, the measure which would certainly change is the mean.

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(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?

Answers

El supplemento y el complemento de cada ángulo son, respectivamente:

Caso A: m ∠ A' = 43°

Caso B: m ∠ A' = 31°

¿Cómo determinar el complemento y el suplemento de un ángulo?

De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:

Ángulo y su complemento

m ∠ A + m ∠ A' = 90°

Ángulo y su suplemento

m ∠ A + m ∠ A' = 90°

Donde:

m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.

Ahora procedemos a determinar cada ángulo faltante:

Caso A: Complemento

47° + m ∠ A' = 90°

m ∠ A' = 43°

Caso B: Suplemento

149° + m ∠ A' = 180°

m ∠ A' = 31°

Observación

El enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.

The statement is written in Spanish and its answer is written in the same language.

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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?​

Answers

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

help meeeeeeeeeeeee​

help meeeeeeeeeeeee

Answers

Answer: the slope is 2

Explanation:

The graph goes up 2 and over 1. When finding slope the formula is rise/run

Answer: slope=2
to solve this problem we can use any points
let’s take points (0,3) and (1,5)
the slope is 5-3/1-0
the slope is 2/1
the slope is 2

If you combine all the baking soda from the recipes that use exactly 1 1/4

teaspoons, how much baking soda will you have in all?
Write your answer as a fraction, mixed number, or whole number.

Answers

Answer:

Note that per 1/4 tsp of baking soda you need ample amount of acidity which is about 1 cup of buttermilk, 1 cup of brown sugar, 1 teaspoon of lemon juice, or 1 teaspoon of vinegar. Baking Without Baking Soda OR Baking Powder

Step-by-step explanation:

James is playing an arcade game with tokens. In the first
game, he hits the jackpot and doubles the number of
tokens that he has. In the second game, James wins 12
more tokens. In his third and final game, he loses 4
tokens. James now has 170 tokens. How many tokens
did he have before he started playing the game?

James is playing an arcade game with tokens. In the firstgame, he hits the jackpot and doubles the number

Answers

Answer

81 tokens

Step-by-step explanation:

x+12-4=170

x+8=170

 -8   -8

x=162

     162/2=81 tokens

The number of tokens he had before he started playing the game is 81 tokens.

Given,

James is playing an arcade game with tokens.

In the first game, he hits the jackpot and doubles the number of tokens that he has.

In the second game, James wins 12 more tokens.

In his third and final game, he loses 4 tokens. James now has 170 tokens.

We need to find how many tokens did he have before he started playing the game.

What does the term mean?

Doubles = multiply by 2

x more than M = M + x

Loses x from M = M - x

We have,

Let the number of tokens he had initially be M.

First game:

Doubles the number of tokens

= 2M

Second game:

James wins 12 more tokens.

=  2M + 12

Third game:

Loses 4 tokens.

= 2M + 12 - 4

= 2M + 8

James now has 170 tokens

This means:

2M + 8 = 170

2M = 170 - 8

2M = 162

M = 162 / 2

M = 81

Thus the number of tokens he had before he started playing the game is 81 tokens.

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A package of 8-count AA batteries costs $6.16. A package of 20-count AA batteries costs $15.60. Which statement about the unit prices
is true?
The 8-count pack of AA batteries has a lower unit price of $0.77 per battery.
The 20-count pack of AA batteries has a lower unit price of $0.77 per battery.
The 20-count pack of AA batteries has a lower unit price of $0.78 per battery.

Answers

Answer:

it would be within the range of $0.77 <x< $0.78

The cost in dollars y of producing x computer
desks is given by y = 40x + 4000
X
100
200
300
a. Complete the table
y
b. Find the number of computer desks that can be produced for $6200. (Hint: Find x when y = 6200.)
a. Complete the table.
х
100
200
300
y
b. For $6200,_ computer desks can be produced

Answers

Answer:

a.

y= 40x +4000

x= 100 --> y= 40(100)+4000= 4000+4000=8000

x=200 --> y= 40(200)+4000= 6000+4000= 10000

x=300 --> y= 40(300)+4000= 12000+4000= 16000

(in $)

b.

y= 40x+4000

6200= 40x+4000

6200-4000= 40x

2200= 40x

2200/40= x

55= x

(in unit)

Step-by-step explanation:

I hope this helps

if u have question let me know in comments ^_^

Derive Integral equation for dy/dv

Derive Integral equation for dy/dv

Answers

By the fundamental theorem of calculus,

\(\displaystyle y = \int_0^v \sqrt{3+4t^2} \, dt \implies \boxed{\frac{dy}{dv} = \sqrt{3+4v^2}}\)

In general,

\(\displaystyle \frac{d}{dx} \int_0^{g(x)} f(u) \, du = f(g(x)) \frac{dg}{dx}\)

Other Questions
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