Determine the derivatives of g(x)=-3x at any point by using first principle

Answers

Answer 1

Answer:

[tex]{ \tt{g(x) = - 3x}} \\ { \tt{g(x + h) = - 3(x + h)}} \\ \\ { \bf{ \binom{ \frac{ \delta \: y}{ \delta \: x} }{lim \: h→0} = \frac{g(x + h) - g(x)}{h} }} \\ \\ { \tt{ = \frac{ - 3(x + h) - ( - 3x)}{h} }} \\ \\ { \tt{ = \frac{ - 3x - 3h + 3x}{h} }} \\ \\ { \tt{ = \frac{ - 3h}{h} }} \\ \\ { \tt{ = - 3}} \\ { \bf{h→0, \: \frac{ \delta \: y}{ \delta \: x} = \frac{dy}{dx} }} \\ \\ { \tt{ \frac{dy}{dx} = - 3 }}[/tex]


Related Questions

Find the common ratio of the geometric sequence − 1 , − 9 , − 81 ,

Answers

Step-by-step explanation:

everything can be found in the picture

I need help with the problem

Answers

Answer:

Non-linear

Step-by-step explanation:

While the difference in x terms remains constant at 1

The difference between y terms varies.

Answer:

Non-linear.

Step-by-step explanation:

A system of equations is shown below:

y = 3x − 7
y = 2x + 1

What is the solution to the system of equations?

(8, 17)
(−8, 17)
(−8, −17)
(8, −17)

Answers

Answer:

(8, 17)

Step-by-step explanation:

y= 3x -7 -----(1)

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

Substitute (1) into (2):

3x -7= 2x +1

Being x terms to one side, constant to the other:

3x -2x= 7 +1

x= 8

Substitute x= 8 into (2):

y= 2(8) +1

y= 16 +1

y= 17

∴ The solution is (8, 17).

Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.)
x −36 −26 −15 −4
P(X = x) 0.32 0.36 0.21 0.11
Mean
Variance
Standard deviation

Answers

Answer:

Mean = 24.47

Variance = 108.31

Standard deviation = 10.41

Step-by-step explanation:

The probability distribution table has been attached to this response.

(1) To calculate the mean (m)

(a) First multiply each of the values of x by their corresponding probability values.

This is shown in the third column of the table.

(b) The sum of the results in the third column gives the mean of the distribution. i.e

m = ∑xP(x) = 11.52 + 9.36 + 3.15 + 0.44

m = 24.47

(2) To calculate the variance (σ²).

(a) First find the square of the difference between the values of x and the mean (m) calculated in (1b) above. i.e

(x - m)²

The result is shown in the fourth column of the table.

(b) Next, multiply each of the results in the fourth column (x - m)², by their corresponding probability values P(X = x). i.e

(x - m)²(P(X = x))

The result is shown in the fifth column of the table.

(c) Now find the variance (σ²) which is the sum of the results in the fifth column. i.e

σ² = ∑(x - m)²(P(X = x)) = 42.5411 + 0.8427 + 18.8330 + 46.0923

σ² = 108.3091

σ² = 108.31      [to 2 decimal places]

(3) To calculate the standard deviation (σ)

The standard deviation is the square root of the variance of the distribution. Calculate this by finding the square root of the result in (2c) above.

σ = √σ²

σ = [tex]\sqrt{108.31}[/tex]

σ = 10.4072

σ = 10.41        [to 2 decimal places]

I don’t really understand these

Answers

Answer:

its answer is 3rd part

ABC-FED

Hey buddy I am here to help!

angle ABC = angle FED

Hope this answer helps!

Plz mark me brainliest!

Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.

Assume that you take out a $2000 loan for 30 months at 8% APR. How much of the first month's payment is interest? (Round your answer to the nearest cent.)
$

Answers

Answer:

13.33

Step-by-step explanation:

Because it's only payment one we can easily figure out the interest portion

we first need the effective rate

.08/12= .006666667

We the just mulitply this by loan amount

2000*.006666667= 13.33

Step-by-step explanation:

its your answer

I hope it's help you

There are approximately 1.35 billion people in China. If the world population is 7.1 billion people, what percent of the world population is in China?​

Answers

Answer:

19.01%

Step-by- step explanation:

[tex]Percentage = \frac{1.35 billion }{ 7.1 billion } \times 100[/tex]

                [tex]= \frac{ 1.35 \ times 1, 000, 000, 000} {7.1 \times 1,000,000,000} \times 100\\\\\\=\frac{1.35}{7.1} \times 100 = 19.01 \%[/tex]

Hall and Mindy are playing a guessing game. Hall tells Mindy: ""The difference between 17 and the square root of my mystery number is 5"". What are two possible numbers that Hall could be thinking of?

Answers

Answer:

The possible number that Hall could be thinking of is 144.

Step-by-step explanation:

Difference between 17 and the square root of my mystery number

This is represented by:

[tex]17 - \sqrt{x}[/tex]

is 5

Then:

[tex]17 - \sqrt{x} = 5[/tex]

What are two possible numbers that Hall could be thinking of?

We have to solve the equation, for x. So

[tex]17 - \sqrt{x} = 5[/tex]

[tex]\sqrt{x} = 12[/tex]

[tex](\sqrt{x})^2 = (12)^2[/tex]

[tex]x = 144[/tex]

The possible number that Hall could be thinking of is 144.

What is the generalization of a point which is
reflected over the x axis?

Answers

Answer:

If a point is reflected over the x-axis, the x- coordinate of the image remains the same as the pre-image and the y- coordinate is the opposite of the pre-image. ... If a point is reflected over both axes, both coordinates of the image are opposite of the pre-image.

The diagram shows AFGH. Which term describes point J? G A. Centroid B. Circumcenter C. Orthocenter D. Incenter​

Answers

answer is a-circumcenter

The term that describes point J is Centroid.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

Centroid:

The centroid is the point where the three medians of a triangle intersect.

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

The centroid is also the center of mass of a triangle, and it is located two-thirds of the way along each median from the vertex to the midpoint of the opposite side.

Now,

From the figure,

We see that,

J is the point where the three medians of a triangle intersect.

Thus,

The term that describes point J is Centroid.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ7

Consider the sequence Two-fourths, three-fifths, four-sixths, StartFraction 5 Over 7 EndFraction, ellipsis Which statement describes the sequence? The sequence diverges. The sequence converges to 0. The sequence converges to 1. The sequence converges to [infinity].

Answers

Answer:

The sequence converges to 1

Step-by-step explanation:

Given

[tex]\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},...[/tex]

Require

Description of the sequence

The given sequence follows:

[tex]\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},... \frac{n+1}{n+3}[/tex]

i.e.

[tex]T_n = \frac{n+1}{n+3}[/tex]

For every term,

[tex]\frac{n+1}{n+3} < 1[/tex]

In other words,

as the value of n increases, [tex]\frac{n+1}{n+3}[/tex] approaches 1

Hence, (c) is true

When solving inequality

If in the numerator i had a imaginary number when factoring what should i do???

Answers

Answer:

we need to factorise if imaginary number is in the denominator. no action is required if its in the numerator.

you can factorise an imaginary number by multiplying both the numerator and denominator by the conjuncate of the complex number

for instance,

we've given a complex number as follows

[tex] \frac{x}{3x + 4i} [/tex]

factorising

[tex] \frac{x}{3x + 4i} \times \frac{3x - 4i}{3x - 4i} [/tex]

as 3x -4i is the conjugate of 3x + 4i

and 4i is the imaginary number

[tex] \frac{ x(3x - 4i)}{9x {}^{2} - 4 {i}^{2} }[/tex]

and since i² = -1

[tex]\frac{ x(3x - 4i)}{9x {}^{2} + 4}[/tex]

hence factorised

John is a quarterback. This year, he completed 350 passes, which is 70, percent of all the passes he's attempted this year.
How many passes has John attempted this year?

Answers

Answer:

John attempted 500 passes this year

Step-by-step explanation:

To sum up the question, it is basically asking what number has 350 as 70% of it.

We know that:

350 is 70% of some number.

Convert 70% to fraction:

70% = 7/10

Divide:

350 ÷ 7/10 = 500

So 350 is 70% of 500

CHECK THE ANSWER:

10% of 500 is 50

To find 70% of 500, multiply:

50 x 7 = 350

I really hope this helps! Please ask me in case you’re confused.

Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A hamster weighs half a pound and costs $2 per week to feed, while a Labrador Retriever weighs 62.5 pounds and costs $10 per week to feed. Using weight as the explanatory variable, what is the slope of a line between these two points? Answer choices are rounded to the nearest hundredth.
a. $0.13 / Ib.
b. $4.00 / Ib
c. $6.25 / Ib.
d. $7.75 / Ib.

Answers

Answer:

a. $0.13 / Ib.

Step-by-step explanation:

Slope of a line:

Suppose we have two data-points in a line. The slope is given by the change in the output divided by the change in the output.

In this question:

Input: weight(in pounds)

Output: Weekly cost to feed.

A hamster weighs half a pound and costs $2 per week to feed, while a Labrador Retriever weighs 62.5 pounds and costs $10 per week to feed.

Inputs: 0.5, 62.5

Outputs: 2, 10

Change in the outputs: 10 - 2 = 8

Change in the inputs: 62.5 - 0.5 = 62

Slope: [tex]m = \frac{8}{62} = 0.13[/tex]

So the correct answer is given by option A.

Answer:

0.13

Step-by-step explanation:

The accompanying observations are numbers of defects in 25 1-square-yard specimens of woven fabric of a certain type: 4, 7, 5, 2, 3, 1, 9, 3, 4, 3, 5, 7, 3, 2, 2, 4, 7, 3, 2, 5, 5, 1, 4, 4, 5. Construct a c chart for the number of defects. (Round your answers to two decimal places.)
x double bar =
LCL =
UCL =

Answers

Answer:

x double bar = 4

LCL = - 2

UCL = 10

Step-by-step explanation:

The C - chart :

The control limit = xbar

xbar = mean = ΣX / n

The upper and lower control limit :

Xbar ± 3√xbar

Xbar = Σx / n = 100 / 25 = 4

Hence,

x double bar = 4

LCL = Xbar - 3√xbar = 4 - 3√4 = 4 - (3*2)

LCL = 4 - 6 = -2

UCL = Xbar + 3√xbar = 4 + 3√4 = 4 + (3*2)

LCL = 4 + 6 = 10

25^2 6^3 find prime factorization

Answers

Answer:

With Exponents: 32 × 7 × 401

Without Exponents: 3 × 3 × 7 × 401  

Step-by-step explanation:

Hello,

[tex]25^2*6^3\\\\=(5^2)^2*(2*3)^3\\\\=\boxed{2^3*3^3*5^4}\\[/tex]

The mean price for a 2,000sq foot home in FL is $240,000 with a Standard Deviation of $16,000. The mean price of the same sized home in OH is $170,000 with a standard deviation of $12,000. Which state would a home priced at $200,000 be closer to the mean price, compared to the distribution of prices in the state?
Find the z score for each state.

Answers

Answer:

The z-score for a home priced at $200,000 in Florida is of -2.5.

The z-score for a home priced at $200,000 in Ohio is of 2.5.

The closeness to the mean is measured by the absolute z-score(disconsidering the signal, the lower the score, the closer to the mean). However, in this case, both z-scores have the same absolute value, so in both Florida and Ohio a home priced at $200,000 is equally close to the mean.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean price for a 2,000sq foot home in FL is $240,000 with a Standard Deviation of $16,000. Home of $200,000.

This means that [tex]\mu = 240, \sigma = 16, X = 200[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{200 - 240}{16}[/tex]

[tex]Z = -2.5[/tex]

The z-score for a home priced at $200,000 in Florida is of -2.5.

The mean price of the same sized home in OH is $170,000 with a standard deviation of $12,000. Home of $200,000.

This means that [tex]\mu = 170, \sigma = 12, X = 200[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{200 - 170}{12}[/tex]

[tex]Z = 2.5[/tex]

The z-score for a home priced at $200,000 in Ohio is of 2.5.

Which state would a home priced at $200,000 be closer to the mean price, compared to the distribution of prices in the state?

The closeness to the mean is measured by the absolute z-score(disconsidering the signal, the lower the score, the closer to the mean). However, in this case, both z-scores have the same absolute value, so in both Florida and Ohio a home priced at $200,000 is equally close to the mean.

For the diagram below, which of the following represents the length of line MN to the nearest tenth?

Answers

Answer:

( 4 ) 28.6Step-by-step explanation:

Tan 40 = 24/MNMN = 24/tan 40

HOPE IT HELPS !!!!

What is the following sum?
4V5+2V5

Answers

Answer:

Combine 4v_{5} and 2v_{5} to get 6v_{5}.

please help me please help me please help me please help me please help me please help me please​

Answers

Answer:

1. -4

2(12,35,37). hope helpful answer

Answer:

Question 1 = 256

Question 2 = ( 7, 8, 12)

What are the coordinates of the vertex of the parabola described by the
equation below?
y= 2x+52-3
O A (-5.3)
0
B. (-3.-5)
C. (3.5)
O D. (5-3)
ANSWER ASAP!

Answers

Step-by-step explanation:

please type the question properly

Did you mean y = (2x +5)^2 - 3 ?
The answer would then be (-2.5, -3)

solve the paper with the correct answer​

Answers

Answer:

I did question no 2 , 4 , 5 , 6

from question attempt any two questions i did 4 and 5.

Step-by-step explanation:

Hope this helps u !!

the following triangles are similar by which short cut?
A. SAS
B. ASA
C. SSS
D. not congruent

Answers

Answer: It's A.

You can see in the figure that:

BG=GD

<BGI=<OGD

GI=GO

Solve for T: 10t-4x=3S Explanation plz

Answers

T=3s/10+2x/5 hope this helped <3

Which of the following is the graph of f(x)=║x║translated 2 units right, 2 units up, and dilated by a factor of 1/3?

Answers

Answer:

c on edge2021

Step-by-step explanation:

Find the value of x?

Answers

Answer:

X=2.

Step-by-step explanation:

3 times 2 is equal to 6, and 4 times 2 is equal to 8, 6+8=14.

Use the quadratic formula to solve x2 - 5x - 2 = 0.
O A. x=5+ y23
O B. x=2+2
O C. - x - 25+, VT
O D. x = 5 + 917

Answers

Answer:

A

Step-by-step explanation:

Note: I suppose you typed the question wrong, thus I calculated the question in the picture

[tex]x = \frac{ - b + - \sqrt{{b}^{2} - 4ac} }{2} \\ = \frac{5 + - \sqrt{25 - 4 \times - 2 \times 1} }{2} \\ = \frac{5 + - \sqrt{25 + 8} }{2} \\ = \frac{5 + - \sqrt{33} }{2} [/tex]

The value of solution of quadratic function is,

⇒ x = (5 ± √33) / 2

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The quadratic function is,

⇒ x² - 5x - 2 = 0

Now, We can simplify as;

⇒ x² - 5x - 2 = 0

⇒ x = - (- 5) ± √(-5)² - 4×1×- 2 / 2

⇒ x = (5 ± √33) / 2

Thus, The value of solution of quadratic function is,

⇒ x = (5 ± √33) / 2

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

3384/24 step by step ......I really need help

Answers

Don’t think this is reliable anyone can type stuff down so I wouldn’t recommend it

Which table represents a linear function?

Answers

Answer:

First table from left.

Step-by-step explanation:

Equal step of a half.

1,7

2,9

3,13

4,21

Step-by-step explanation:This is the linear function graph i plotted the points


Please answer part A and B.

Answers

Answer:

Percent who walk 45%

Percent in car 22.5%

Step-by-step explanation:

The total number of students is

36+26+18 = 80

Percent who walk is 36/80 = .45 =45%

Percent in car is 18/80 =.225= 22.5%

Other Questions
a weak acid undergoes _ ionization in water According to the text and classroom discussions, the law enforcement position of _______________ is a person who identifies crime patterns, suspect characteristics, demographic information as it relates to certain crimes. They prepare reports, graphs, and maps that communicate crime trends. a. Police Officer b. Dispatcher c. Crime Analyst d. Property Clerk Fragrant Fields Greenhouse sells rose bushes for $19.90 each. Last weekend, they made $477.60 on rose bushes. How many rose bushes did they sell? Your business partner feels that it is not important to get the business insured. Explain him the importance of insurance for business. Which sentence from the passage best reflects the authors claim? Kumaran Pillay has a vegetable stall at the Suva Market. His business has been plagued with under-stocking and over-stocking problems for some time now. When he under-stocks, he loses sales as customers move to competing stalls. When he over-stocks, is left with unsold vegetables. These are perishable and cannot be kept long for later sales. Pillay is concerned with how he can minimize these losses stemming from under and over-stocking. 1. Identify and explain how he could use 3 qualitative forecasting methods to improve his stocking. Note that you will need to justify your proposals and link it to the business being discussed. (10 marks)2. Identify and explain how he could use 2 quantitative forecasting methods to improve his stocking. Note that you will need to justify your proposals and link it to the business being discussed. (10 marks) In this passage by the Roman poet Virgil, Queen Dido speaks about the responsibilities of a ruler. How does the phrase infant state in the second line affect the tone? HELP ME PLSSSSSSif f(x) = 2x-3/5 , which of the following is the inverse of f(x)? Explain both the physical and chemical breakdown of food in any one (1) of the four main stages of the digestive system 10. What processes found at hot spots will help form the following rocks? (4 points)A. Metamorphic rocksB. Igneous rocksIts not multiple choice I need a answer for both S dng k thut 5W1H trnh by ni dung 1 cun sch V s cun sc Write about India and Indians? Find the slope of a line through the points (0,0) and (2, 9). Round youranswer to 1 decimal place.SLope = y2-y1 / x2-x1 Match the explorer with their most important accomplishment. Samuel de Champlain explored North America and the Arctic James Cook explored Mississippi Robert La Salle established colony of Quebec Henry Hudson discovered Australiathe answers-explored North America and the Arctic-explored Mississippi-established colony of Quebec-discovered Australia What function or feature of a camera can help you take a self-portrait?Self-flashSelf-apertureSelf-timerSelf-shutter A jam recipe requires 3 quarts of raspberries. Raspberries are available in 1.5 pint containers at a grocery store. How many containers are required for the recipe? 199 rounded up to the nearest hundred Why is there a huge diversity of substances?A. Atoms can combine in many ways to form various compoundsand molecules.B. Any element can combine with any other element.C. Atoms break apart to form new types of atoms during chemicalreactions.D. There is an unlimited number of elements. Consider the following reaction at 298 K.2 SO2(g) + O2(g) 2 SO3(g)An equilibrium mixture contains O2(g) and SO3(g) at partial pressures of 0.43 atm and 2.6 atm, respectively. Using data from Appendix 4, determine the equilibrium partial pressure of SO2 in the mixture.______atm. please help me immediately