dy÷dx=(x-1)(x+3) at x=2 first principal ​

Answers

Answer 1

Answer:

δy

δx = 2x − 4 + δx;

and the limit as δx → 0 is

dy

dx = lim

δx→0

µδy

δx¶

= 2x − 4.

Step-by-step explanation:

Answer 2

dy/2d=(2-1)(2+3)

dy/2d=4+6-2-3

dy/2d=5

dy=5(2d)=10d

2d=5/dy

dy=5×(5/dy)= 25/dy

2d=5/dy

dy^2=25

dy=√25=5

2d=5/dy=5/5=1

d=1/2

dy=1/2×10=5 y=10

plug all of the values

5/(1/2×2)=5

=

4+6-2-3=5

so finally: 5=5

any questions?


Related Questions

A cookie recipe asks for 5 cups of sugar for every 25 cookies
made. How much sugar is used per cookie?

Answers

Answer:

0.2 cups of sugar

Step-by-step explanation:

Make a proportion:

5 cups / 25 cookies = x cups / 1 cookie ---> 0.2

Answer:

I'm verrry sorry if i get it wrong plz forgive me if it is but here is my hypothesis.

Step-by-step explanation:

You just divide 5 by 25 which would be 0.2 and so it would be 0.2:1 or 0.2 per cookie

plz mark me brainliest!

Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of pi (no approximations).

Answers

Answer:

area = 4π-8 cm²

Jack has the following scores on exams in his math class 81, 87 93, 89, 61 81 If he wants to make his performance sound as good as possible, which measure should he use the mean, the median, or the mode of his exam grades when he talks about how he is doing? Explain In you response, make sure to a calculate the mean, o calculate the median, and c calculate the mode of his exam grades D compare and pick the measure that makes his performance sound as good as possible. plz explain ​

Answers

Answer:

mean is 82, Median is 84, mode is 81  

Step-by-step explanation:

The mean of the given data set is 82, median is 84 and mode is 81.

The given data set is 81, 87 93, 89, 61, 81.

What is the median?

The median is the value that's exactly in the middle of a dataset when it is ordered.

Now, the ordered pair is 61, 81, 81, 87, 89, 93.

Median = (81+87)/2

=168/2

=84

Mean = Sum of all the observations/Number of observations

= (61 + 81 + 81 + 87 + 89 + 93)/6

= 492/6

= 82

Mode = The mode is the value that appears most frequently in a data set.

Here, 81 is the most frequently in the given data set.

Therefore, the mean of the given data set is 82, median is 84 and mode is 81.

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Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339.
z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction

If the sample mean is $31,650, what is the z-score? Answers are rounded to the hundredths place.

Answers

Answer: The z-score = 2.46

Step-by-step explanation:

Given:  sample size : n= 10

Population mean : [tex]\mu= 29056[/tex]

population standard deviation : [tex]\sigma= 3339[/tex]

Sample mean : [tex]\overline{x} = 31650[/tex]

Formula to calculate z :

[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

Substitute all values, we get

[tex]z=\dfrac{31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766}}\\\\=\dfrac{2594}{3339}\times3.16227766\approx2.46[/tex]

Hence, the z-score = 2.46

What is the equation of this line

Answers

Answer:

Y= 2x

Step-by-step explanation:

Two points in that graph are (1,2) and (2,4). you have to do rise over run so 4-2 over 2-1 and the answer is 2/1 or just two.

Select all graphs that represent functions

Answers

Answer:

where is the functions

Step-by-step explanation:

I need help finding an eqaution for this. Thank you in advanced

Answers

Answer:

Formula: [tex]c=\frac{sale\ price\ of\ 7}{7}+\$0.75[/tex]

Normal Price: [tex]\$1.15[/tex]

Step-by-step explanation:

First, you have to find the current price of one cookie.

Since 7 cookies cost $2.80, then the price for one sale price cookie would cost

Then you would have to add the $0.75 to the sale price to get the normal price.

[tex]\$0.4\ +\ \$0.75=\$1.15[/tex]

The normal price of a cookie would be $1.15.

The formula to get that answer would be:

[tex]c=\frac{sale\ price\ of\ 7}{7}+\$0.75[/tex]

Hope this helps!

Does this table of values represent a linear relationship? Explain your answer.

Answers

Answer:

Yes

Step-by-step explanation:

Yes, because there is a constant rate of change. It is and will always be constantly increasing by 1.5.

To be a linear line you have to have a constant rate of change.

How to Convert 5 over 16 to decimal​

Answers

Answer:

Step-by-step explanation:

Sorry for the shadow.

How long will it take for $5,000 to double at the rate of 2.25% interest?

Answers

Answer:

31.15

Step-by-step explanation:

HELPP PLEASE FAST!! a store has televisions on sale for 20% off the original price. The original price of a television is 150 before the sale what will be the sale price of the television set

Answers

Method 1: A pure algebraic approach

The unknown in this problem is the percent of decrease. A percent of decrease is the percentage of the original price that was deducted from the original price to obtain the sale price. We could write a "word equation" for this process like this:

original price - (percent of decrease)(original price) = sale price

Since the percent of decrease is the unknown in this problem, we'll call the percent of decrease x%.

Here's what we know so far:

The original price was $200

The sale price was $170

The percent of increase was x%

Putting this information in our word equation gives us an algebraic equation:

200 - (x%)(200) = 170

What do we do with the percent sign in this equation? "Percent" means "out of 100", so x% means x out of 100, or . Now we have this:

200 - (200) = 170

Now we'll solve our equation:

200 - (200) = 170

200 - 2x = 170

-2x = -30

x = 15

So the percent of decrease is 15%

Method 2: A method involving pure arithmetic.

If we know the original price and the sale price, we can find the percent of decrease in two steps:

Find the amount of decrease

Divide the amount of decrease by the original amount

This will give us the percent of decrease (written as a decimal number). We can then write the decimal as an equivalent percent to find our final answer.

Let's use method 2 on the same problem:

Frank bought a new television set on sale. If the TV's original price was $200 and Frank paid $170 for the TV, what was the percent of decrease?

First, let's find the amount of decrease:

Amount of decrease = 200 - 170 = 30

So the price decreased by $30.

Next, we'll find the percent of decrease, and rewrite the decimal answer as a percent:

Percent of decrease =  = = .15 = 15%

So the percent of decrease is 15%

Before we leave the problem, let's check our answer:

Original price = $200

Price reduced by 15% of original price = 200(.15) = $30

Sale price would then be = $200 - $30 = $170

Our answer checks. We're done!    Me not know if correct.

Which statement is true? 7.11≤−7.1 7.11>−7.1 7.11<−7.1 7.11=−7.1

Answers

Answer:

7.11 > -7.1

Step-by-step explanation:

5x+10y=5 -13x+4y=17 NEED HELP
WILL MARK THE RIGH ANSWER BRAINLIEST

Answers

Answer:

I think x = 1 and y = 1/2. For the second: x = -1 4/13 or -1.307692, y = 4 1/4 or 4.25

Step-by-step explanation:

System of Linear Equations entered :

[1] 5x + 10y = 5
[2] -13x + 4y=17


Solve by Substitution :

// Solve equation [2] for the variable y


[2] 4y = 13x + 17

[2] y = 13x/4 + 17/4
// Plug this in for variable y in equation [1]

[1] 5x + 10•(13x/4+17/4) = 5
[1] 75x/2 = -75/2
[1] 75x = -75
// Solve equation [1] for the variable x


[1] 75x = - 75

[1] x = - 1
// By now we know this much :

x = -1
y = 13x/4+17/4
// Use the x value to solve for y

y = (13/4)(-1)+17/4 = 1
Solution :
{x,y} = {-1,1}

4t + 2u
w;t= 2 and u= 1

Answers

15

Step-by-step explanation:

4t + 2u²- u³

4×2=8

2×1=2²=8

1³=1

8+8-1

16-1=15

There are 252525 students in Ms. Nguyen's second-grade class. In the class election, 444 students voted for Benjamin, 121212 voted for Sahil, and 999 voted for Maria.

Answers

Answer:

What is the question?? The question is not there

Answer:

129870 did not vote or voted for someone else.

Step-by-step explanation:

I don't know what your asking

Write an equation of the line in slope intercept form (0,5)(3,4)

Answers

Find slope (y2-y1)/(x2-x1)
(4-5)/(3-0) = -1/3
Y = -1/3x + b
5 = -1/3(0) + b, b = 5
Equation: y = -1/3x + 5

The slope intercep equation of the following points  (0,5) (3,4) will be y = (-1/3)x + 5.

What is the slope-intercept equation?

A slope-intercept equation is the equation of the two variables x and y in which the form of the equation should be in such a way that it should contain the slope of the given equation.

For example, in the equation, y = mx + c here m will be the slope of the equation and this is the slope-intercept equation.

Another example is y = 3x + 7 here 3 will be the slope of that equation.

Slope m = difference in y coordinate/ difference in x coordinate.

Let's suppose our equation is y =mx + c

now m = (4 - 5)/(3 - 0)

m = -1/3 now for c put both point in the equation we get as 5.

So y = (-1/3)x + 5 will be correct slope intercept form.

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Grade 4 Mathematics- Checkpoint #3
In 2008 the total number of cell phone users in Indonesia was about 140,578,000. Which expression has the same value as 140,578,000?

Answers

Answer:

2^4 x 5^3 x 70289

Step-by-step explanation:

16 x 125 x 70289=140,578,000

A skirt was originally priced $32. It is on sale for $24. What percent is the discount

Answers

Answer:

25% off

Step-by-step explanation:

$32 is 100%. 8 dollars was taken away, and since 8 is 1/4 of 32, we can divide 100% by 4 to get 25%. 25% is $8

Answer:

25%

Step-by-step explanation:

24/32=0.75

100-0.75= 0.25

So 25% off.

Hope that helped! (ノ◕ヮ◕)ノ*:・゚✧

( ゚д゚)つ Bye

I need help guys please help

Answers

slope=rise/run

rise: 7
run: 6

so it would be -7/6

(mark brainliest if right pls)

What is the distance between (-5, 2) and (-9,-4)?
Leave your answer in simplest radical form.

Answers

Answer:

[tex]2\sqrt{13}[/tex]

Step-by-step explanation:

Use the distance formula.

[tex]d = \sqrt{(-9+5)^2+(-4-2)^2} = \sqrt{(-4)^2+(-6)^2} = \sqrt{16+36} = \sqrt{52} = 2\sqrt{13}[/tex]

The distance between (-5, 2) and (-9,-4) is 7.211 units.

What is distance?

The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Given:

The coordinates of the point (-5, 2) and (-9,-4).

Calculate the distance using the formula given below,

[tex]d = \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2}[/tex]

d = [tex]\sqrt{[(-9) - (-5)]^2 +[(-4-2)]^2 }[/tex]

d = [tex]\sqrt{-4^2+(-6)^2}[/tex]

d = [tex]\sqrt{16+ 36}[/tex]

d = 7.211 units

Therefore, the distance between (-5, 2) and (-9,-4) is 7.211 units.

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if p = x(3x+5) - 28, then p is divisible by which of the following expressions?

Answers

Answer:

o p is factorable by 3x - 7, and x + 4

Step-by-step explanation:

Let's factor it:

[tex]p = x(3x + 5) - 28\\p = 3x^2 + 5x - 28\\p = (3x - 7)(x + 4)[/tex]

So p is factorable by 3x - 7 and x + 4

centra
Jonah drives his car to and from work. The total length of the trip to and from work is 19.8 miles. In
August, Jonah worked 26 days.
How many miles in all did Jonah drive to and from work that month? Complete the explanation.
19.8
26
Jonah drove
miles in August
Plz

Answers

514.8 your welcome

All you have to do is multiply 19.8 x 26

A U.S. government survey in 2007 said that the proportion of young Americans that earn a high school diploma is 0.87. a)Suppose you took a simple random sample of 100 young Americans. We know because of sampling variability that the sample proportion of those who earned a high school diploma would vary each time you took a sample. Assuming the value above can be taken as the population proportion (i.e. as a parameter), what model can be used to describe how these sample proportions would vary

Answers

Answer:

normal distribution can be used to model the sample proportions

Step-by-step explanation:

N ( sample size ) = 100

probability of earning high school diploma (p)  = 0.87

probability of not earning high school diploma ( q ) = 0.13

hence ;

∈( P ) = p = 0.87

Var ( p ) = [tex]\frac{pq}{n}[/tex]  = [tex]\frac{0.86 * 0.13 }{100}[/tex]  = 0.001131

therefore ; p ~ N = ( 0.87 , 0.001131 )

A recipe uses 5 cups of flour for every 2 cups of sugar.

How much sugar is used for 1 cup of flour?
How much flour is used for 1 cup of sugar?
How much flour is used with 7 cups of sugar?
How much sugar is used with 6 cups of flour?

Answers

Answer:

2.5

Step-by-step explanation:

5 divided by 2= 2.5

Answer:

2.5

Step-by-step explanation:

q = d / d+ n on a manufacturer's assembly line, d parts are found to be defective and n parts are nondefective. the formula above is used to calculate a quality-of-parts ratio. What is d expressed in terms of the other two variables?

a. n / 1 - q
b. nq / 1 - q
c. n / q-1
d. nq / q-1

Answers

Answer:

d. nq / q - 1

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Factoring

Step-by-step explanation:

Step 1: Define

q = d / (d + n)

Step 2: Solve for d

Multiply (d + n) on both sides:                    q(d + n) = dDistribute q:                                                 dq + qn = dSubtract qn on both sides:                         dq = d - qnSubtract d on both sides:                           dq - d = -qnFactor GCF:                                                 d(q - 1) = -qnDivide (q - 1) on both sides:                        d = -qn / (q - 1)Rearrange:                                                   d = nq / -(q - 1)Distribute -1:                                                 d = nq / 1 - q

if x =20 and y =40 then x and y are

Answers

Answer:

Are directly proportional

Find the average rate of change from x = 2 to x = 6 for the function f(x) = 3^x and select the correct answer below.

180
- 180
- 720
720​

Answers

Answer:  Choice A) 180

======================================================

Work Shown:

f(x) = 3^x

a = 2 = lower value of the interval

b = 6 = upper value of the interval

c = average rate of change of f(x) from a to b

c = ( f(b) - f(a) )/(b - a) ..... note how this mimics the slope formula

c = ( f(6) - f(2) )/(6 - 2)

c = ( 3^6 - 3^2 )/4

c = ( 729 - 9 )/4

c = 720/4

c = 180

The average rate of change from x = 2 to x = 6 for f(x) = 3^x is 180

What is 40% of 25 is it
A. 62.50%
B. 16%
C. 160%
D. 10%

Answers

40 percent of 25 is D. 10%

Step-by-step explanation:

D. 10 %

hope it helps!

.......

1. (a) Let A = 1, 3, 5, 7 and B = X : X is the first three multiple of 7 . Find (A−B).
(b) Find the remainder when f (x)=3x^3 −11x−48 is divided by x−1 .
(c) Let f (x)= x3 , g(x)= x+5. Find (f •g)(x)
(d) Find the derivative of y = 3+ x^2+ x^3y^3.

Answers

Answer:

a) A-B = { 1 , 3, 5 }

b) The remainder is 50

c) f + g)(x) = x⁴+ 5x³

d) [tex]\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}[/tex]

Step-by-step explanation:

Step(I):-

1) a)

Let A = { 1, 3, 5, 7 } and B = { 7 , 14 , 21 }

A - B = {1,3,5,7} - { 7,14,21}

A - B  = { 1 , 3, 5}

b)

Given f (x)=3x³−11x−48

    x-1  ) 3 x³ - 11x -48 (- 3x²-3x -2

            -3x³ +3x²

                 3x²-11x-48

                -3x²+9x

                     2x -48

                    -2x +2  

                                       

                         50

The remainder is 50

   

c)  Given f(x) = x³ and g(x) = x + 5

(f. g)(x) = f(x) .g(x) = x³ . (x+5) = x³(x) + 5 x³ = x⁴+ 5x³

d)

 Given function   y = 3 + x²+x³y³  ...(I)

By using derivative formulas

            y = xⁿ

            [tex]\frac{dy}{dx} = n x^{n-1}[/tex]

Apply d/dx ( UV) = U V¹ + V U¹



Differentiating equation (I) with respective to 'x' , we get

                      [tex]\frac{dy}{dx} = 0 + 2x + ( x^3 3y^2(\frac{dy}{dx} )+ y^3(3x^2))[/tex]

                     [tex]\frac{dy}{dx} - ( x^3 3y^2(\frac{dy}{dx} )= 2x- y^3(3x^2))[/tex]

                   [tex]\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}[/tex]



find sq.root of 19.537 by division method?​

Answers

Answer:

4.42 is the answer........

Step-by-step explanation:

Im not sure

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