Using the quotient rule, what is the derivative of the function f(x)=(3x-5)/(5x+2)?​

Answers

Answer 1

Answer:

[tex]\frac{31}{(5x+2)^2}[/tex]

Step-by-step explanation:

See image for quotient rule

f(x)= numerator = 3x-5

g(x)= denominator = 5x+2

so we have

[tex]\frac{(5x+2)(3x-5)'-(3x-5)(5x+2)'}{(5x+2)^2}\\(3x-5)'=3\\(5x+2)'=5\\\frac{(5x+2)(3)-(3x-5)(5)}{(5x+2)^2}\\\frac{15x+6-(15x-25)}{(5x+2)^2}\\\frac{31}{(5x+2)^2}[/tex]

Using The Quotient Rule, What Is The Derivative Of The Function F(x)=(3x-5)/(5x+2)?

Related Questions

Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 5.15 ft at midnight, rises to a
high of 10.2 ft falls to a low of 0.1 ft, and then rises to 5.15 ft by the next midnight
What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the
situation?
Enter your answer in the box

Answers

Answer:

f(x)=5.05 sin((pi/12)x) + 5.15

Step-by-step explanation:

how much water should be added to one liter of pure ammonia to make a mixture of 50% ammonia

Answers

Answer:

I assume that this is a math question not a chemistry question...

In math I assume the answer is 1 liter....

total = 2 liters (1 liter water 1 liter ammonia )

If this is a chemistry question there is a difference between total

volume, and total weight, which would not result in the answer being 1 liter

Step-by-step explanation:

how do i solve for x with an equation that says 19 = x - 3

Answers

Answer: x = 22

Step-by-step explanation: Since x is unknown, we want to isolate it and determine what it equals. We know that x - 3 gives us 19, but we don't want to know what x - 3 is, just x. So we can add three to both sides of the equation, to get our answer and keep it balanced. As a result, we get x = 22

Answer:

x = 22

Step-by-step explanation:

19 = x - 3

Add 3 to each side

19 + 3 = x - 3 + 3

Simplify

22 = x

Find the percentage decrease ???​

Answers

Step-by-step explanation:

Price of a book costing sh.250

reduced to sh.200

percentage decrease on the price = (250-200)/250×100

= 20%

Which of the following uses set builder notation to denote the set of all (real) multiplicative inverses?

Answer Choices In Picture

Answers

Answer:

First Option

Step-by-step explanation:

Please answer i will give brainliest

Answers

it’s 40pi = about 126

PLEASE HELP! Code/answer

Answers

Answer:

29

7 : 27

Step-by-step explanation:

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

The ratio of students to teachers is 2:29

this means that for every 2 teachers, there are 29 students

There are 7 doctors and 27 nurses. this means that the ratio of doctors to nurses is 7 : 27

In the cafeteria tables are arranged in groups of 4, with each table seating 8 students. How many students can sit at 10 groups of tables?

Answers

4 tables = 1 group. So in 10 groups of tables, there are 40 tables. Each table seats 8 students, so you multiply 8 by 40, and that leaves your answer as 320 students. :)

AB and CF are parallel find x
Show CLEARLY how you got your answers with reasons

Answers

Answer:

x = 152°

Step-by-step explanation:

∠ BDE = ∠ ABD = 76° ( alternate angles )

Since DE = BE then Δ BDE is isosceles with base angles congruent

∠ DBE = ∠ BDE = 76°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, then

x = 76° + 76° = 152°

During a sale, a store offered a 20% discount on a stereo system that originally sold for $320. After the sale, the discounted price of the stereo system was marked up by 20%.

Answers

Answer:

354 $ is correct

Step-by-step explanation:

your v id dead

Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees.

Parallelogram P Q R S is shown. Angle Q is (20 + 2 x) degrees and angle R is (6x) degrees.

What is the value of x?

5
10
20
25

Answers

Given:

In parallelogram PQRS, [tex]m\angle Q=(20+2x)^\circ,\ m\angle R=6x^\circ[/tex].

To find:

The value of x.

Solution:

In a parallelogram, the consecutive interior angles are supplementary angles.

In parallelogram PQRS,

[tex]m\angle Q+m\angle R=180^\circ[/tex]            (Supplementary angles)

[tex](20+2x)^\circ+(6x)^\circ=180^\circ[/tex]

[tex](20+8x)^\circ=180^\circ[/tex]

[tex]20+8x=180[/tex]

Subtracting 20 from both sides, we get

[tex]8x=180-20[/tex]

[tex]8x=160[/tex]

Divide both sides by 8.

[tex]\dfrac{8x}{8}=\dfrac{160}{8}[/tex]

[tex]x=20[/tex]

Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

jose bought "n" packs of pencils. Each pack has 12 pencils. Write an equation to represent the total number of pencils "p" that josé bought.

Answers

Answer:

nx12=p

Step-by-step explanation:

So every pack has 12 pencils. You multiply the packs of pencils that José bought with how much pencils per pack. Since José bought "n" packs of pencils, the equation is nx12. But the answer is also unknown since we don't know how much packs José bought, so the answer is "p", or the total number of pencils José bought.

Solve the following inequality for qq. Write your answer in simplest form. -6q+7≤8q-3

Answers

Answer:

q ≥ 5/7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

-6q + 7 ≤ 8q - 3

Step 2: Solve for q

[Subtraction Property of Equality] Subtract 8q on both sides:                      -14q + 7 ≤ -3[Subtraction Property of Equality] Subtract 7 on both sides:                        -14q ≤ -10[Division Property of Equality] Divide -14 on both sides:                               q ≥ 5/7

Here we see that any number q greater than or equal to 5/7 would work as a solution to the inequality.

Answer:

q ≥ [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Given

- 6q + 7 ≤ 8q - 3 ( add 6q to both sides )

7 ≤ 14q - 3 ( add 3 to both sides )

10 ≤ 14q ( divide both sides by 2 )

5 ≤ 7q ( divide both sides by 7 )

[tex]\frac{5}{7}[/tex] ≤ q , then

q ≥ [tex]\frac{5}{7}[/tex]

Which is a better estimate for the height of a 5-story building?

a. 15 centimeters b.15 meters

Answers

Answer:

b. 15 meters

Step-by-step explanation:

This doesn't involve a lot of math, just some common sense. 15 centimeters is about the size of a pencil so that is definitely not the answer. Therefore, 15 meters would be the correct choice.

Answer:

B bro

Step-by-step explanation:

Which fraction equals the ratio of rise to run between the points (0, 0) and (6, 7)? A. B. C. D.

Answers

Answer:

7 / 6

Step-by-step explanation:

Given the points:

points (0, 0) and (6, 7)

Point 1 : x1 = 0 ; y1 = 0

Point 2 : x2 = 6 ; y2 = 7

The rise = y2 - y1 = 7 - 0 = 7

The run = x2 - x1 = 6 - 0 = 6

Ratio of Rise to Run = Rise / Run = 7 / 6

A squirrel has a 75% chance of finding food when it is sunny, but only a 25% chance of finding food when it is raining. Suppose there is a 50% chance of rain. What is the probability that a squirrel will find food?

Answers

Answer:

The probability is 0.5

Step-by-step explanation:

If there is a 50% chance of rain, then there is also a 50% chance of not rain.

Now let's write all the probabilities:

(just take the percentage and divide it by 100%)

Probability of rain: p = (50%/100%) =  0.5

probabiity for the squirrel to find food when it rains: q = (25%/100%) = 0.25

Then the joint probability, this is, the probability that rains and that the squirrel finds food, is equal to the product of these two probabilities, this is:

P1 = 0.5*0.25 = 0.125

And we also have the case where there is no rain.

Probability that does not rain: p' = (50%/100%) = 0.5

Probability that the squirrel finds food if doesn't rain: q = (75%/100%) = 0.75

The joint probability is:

P2 = 0.5*0.75 = 0.375

The total probability that the squirrel will find food is equal to the sum of the probabilities of the squirrel finding food if there is rain, and the probability of the squirrel finding food if there isn't rain, so the total probability is:

P = P1 + P2 = 0.125 + 0.375 = 0.5

I need help with my math! Can you please help me!!

Answers

Answer:

[tex]y=-|x-1|+3[/tex]

Step-by-step explanation:

The graph of the function ([tex]y=|x|[/tex]) can be described as a perfect (v) shape composed of two lines with the equation ([tex]y=x[/tex]) and ([tex]y=-x[/tex]) with a range of ([tex]y\geq 0[/tex]). In the depicted graph, this function has undergone some transfomrations. The general format for a transformation of an absolute value function is the following;

[tex]y=(+-)n|x-k|+h[/tex]

The function can be inverted if the sign of (n) is (-). As per the given graph, the function is inverted, thus the answer will have a (-) sign in front of it. One can see that the (n) value has to be (1) or rather not present since the function has no scaling factor.

[tex]y=-|x|[/tex]

The function has been shifted (k) units to the right, one can see that the given function's vertex is (1) unit to the right, thus the equation of the function has a (1) in the position of (k).

[tex]y=-|x-1|[/tex]

The function is shifted (3) units up, thus the position of (h) is occupied by a (3).

[tex]y=-|x-1|+3[/tex]

Therefore the following answer choice is correct, as it fits all of the requirements;

[tex]y=-|x-1|+3[/tex]

A typical serving of fish is 4 ounces. What is this serving size in grams?

Answers

Answer:

the answer is 113.398 grams

113.398 grams
4 ounces is 113.398 in grams

Find the reciprocal of 9.

Answers

the reciprocal of 9 is 1 divided by 9, i.e. 1/9

Which peicewise function is shown in the graph?​

Answers

Answer:

Option (1)

Step-by-step explanation:

From the graph of the piecewise function,

There are two pieces of the function,

1). Segment (1) having x < 0

2). Segment (2) having x ≥ 0

Segment (1),

Segment starts with a hollow circle at x = 0 and passes through two points (0, 1) and (-2, 2)

Slope of the segment = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                     = [tex]\frac{2-1}{-2-0}[/tex]

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

Equation of the segment passing through (-2, 2) with slope = [tex]-\frac{1}{2}[/tex],

[tex]y-y'=m(x-x')[/tex]

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

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

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

[tex]y=-0.5x+1[/tex] For x < 0

Segment (2),

Segment starts with a solid circle at x = 0 and passes through (0, -2) and (2,2)

Slope of the segment = [tex]\frac{2+2}{2-0}[/tex]

                                    = 2

Equation of the segment passing through (0, -2) and slope = 2,

y - y' = m(x - x')

y + 2 = 2(x - 0)

y = 2x - 2 For x ≥ 0

Therefore, Option (1) will be the correct option.

Question 24 Multiple Choice Worth 1 points)
(8.01 MC)
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis

Answers

Given:

The system of equations is:

Line A: [tex]y=x-4[/tex]

Line B: [tex]y=3x+4[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]y=x-4[/tex]              ...(i)

[tex]y=3x+4[/tex]           ...(ii)

Equating (i) and (ii), we get

[tex]x-4=3x+4[/tex]

[tex]-4-4=3x-x[/tex]

[tex]-8=2x[/tex]

Divide both sides by 2.

[tex]-4=x[/tex]

Substituting [tex]x=-4[/tex] in (i), we get

[tex]y=-4-4[/tex]

[tex]y=-8[/tex]

The solution of system of equations is (-4,-8).

Now verify the solution by substituting [tex]x=-4, y=-8[/tex] in the given equations.

[tex]-8=-4-4[/tex]

[tex]-8=-8[/tex]

This statement is true.

Similarly,

[tex]-8=3(-4)+4[/tex]

[tex]-8=-12+4[/tex]

[tex]-8=-8[/tex]

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.

simplify


[tex] \frac{2e + f}{8e - 2e {}^{2} } \times \frac{4e - e {}^{2} }{2ef + f {}^{2} } [/tex]
The answer is 1/2f​

Answers

my answer is in the image above

The sum of Aini’s age and Wani’s age is 62 years old. Three years later, Aini’s age is three times Wani’s age. How old is Aini now?

Answers

Answer:

48 years old

Step-by-step explanation:

a + w = 62

a+3 = 3(w+3) =>a+3=3w+9

=> a-3w = 6

a+ w = 62

a- 3w= 6

________-

4w = 56

w = 14

so, the Aini's age now is 62-14 = 48 years old

semoga membantu

PLEASE HELP BRO IM LOSING MY MIND (if u could explain how with the answer THATD be sick)

Answers

Answer:

y = (x+3)(x+2)(x+1)

Step-by-step explanation:

so how to determine that...

1) it has to be a third order equation (x^3) since it changes direction two times

2) it crosses the x axis at -1,-2,-3 so (x-1),(x-2),and (x-3) are factors

A turkey has a mass of 6 kilograms. A bag of sweet potatoes has a mass of 2 kilograms. How many more grams does the turkey weigh than the sweet potatoes?

Answers

Answer:

the correct answer is 4,000 grams

Question 5 of 10
In the diagram below, 30 is parallel to XY. What is the value of x?
769

Answers

Answer:

D

Step-by-step explanation:

a and 76° are corresponding angles and are congruent , then

x = 76° → D

Tasha is planning an expansion of a square flower garden in a city park. If both the length and the width of the original garden are each increased by *3m*, the new total area of the garden will be *49* squared meters. Find the length of each side of the original garden.

Answers

Answer:

4 m

Step-by-step explanation:

Since the flower garden is square :

Both length and width are equal :

Let :

Original side length = x

Increased length = x + 3

Area of square = s² (s = side length)

New area = 49 m²

That is ;

(x + 3)² = 49

Original length, x can be calculated thus ;

Take square root of both sides

x + 3 = √49

x + 3 = 7

x = 7 - 3

x = 4

Hence, original length of each side = 4 m

...yea i just need help (:

Answers

Answer:

2/3-4

3 1/3

-1*3.3=-3.3

-3 1/3 divided by 5/6

-4

so a

Hope This Helps!!!

Answer:

-2/3+4÷5/6

-2+12÷3÷5/6

10/3÷5/6

10/3x6/5

2/1x2/1

4/1

4

Step-by-step explanation:

hope this is helpful

Can someone help me please really need help? I’ll help you back please & thanks

Answers

The answer is 6 days.

This is the equation
30d-60=20d
10d=60
d=6

________ collect money from investors, create capital, and offer various investment options.

Fill in the blank
its 2 words

Answers

[tex]\sf\purple{Mutual \:funds}[/tex] collect money from investors, create capital, and offer various investment options.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

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