PLEASE HELP OMG calculate the slope of the graph below at the point (-1,5)


f(x) = x^5 + 1/x^3 +7

PLEASE HELP OMG Calculate The Slope Of The Graph Below At The Point (-1,5) F(x) = X^5 + 1/x^3 +7

Answers

Answer 1

Answer:

The slope of the graph at x=-1 is 2

Step-by-step explanation:

Instant rate of change

Given a real function f(x), the instant rate of change with respect to x is defined as the derivative of f which coincides with the instant value of the slope of the tangent line in the point (x,y).

We have the function:

[tex]\displaystyle f(x) = x^5+\frac{1}{x^3}+7[/tex]

Prepare the function to apply the power rule of the derivative:

[tex]\displaystyle f(x) = x^5+x^{-3}+7[/tex]

Recall the power rule:

[tex](x^n)' = nx^{n-1}[/tex]

Also, the derivative of a constant is zero.

Taking the derivative:

[tex]\displaystyle f'(x) = 5x^4-3x^{-4}[/tex]

Evaluating for x=-1:

[tex]\displaystyle f'(-1) = 5(-1)^4-3(-1)^{-4}[/tex]

[tex]\displaystyle f'(-1) = 5*1-3*1=2[/tex]

The slope of the graph at x=-1 is 2


Related Questions

indicate in standard form the equation of the line passing through the given points, in the equation box below. X(0, 6), Y(5, 6)

Answers

Answer:

0x + y = 6

Step-by-step explanation:

Equation of the Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It can be later converted to any other form of the line. For example, the standard form is:

[tex]Ax + By = C[/tex]

Let's find the equation by using the given points (0,6) (5,6):

[tex]\displaystyle y-6=\frac{6-6}{5-0}(x-0)[/tex]

Operating:

[tex]\displaystyle y-6=\frac{0}{5-0}(x-0)[/tex]

y - 6 = 0

Or, equivalently:

0x + y = 6

This corresponds to a horizontal line

Hi. :) if you are a "Blink" what album should i get? ​

Answers

Answer:

Changes

Step-by-step explanation:

#teamtrees #WAP (Water And Plant)

Answer:

♡ let's kill this love! ♡

you should definitely get "the album."

it has a very good rating and its great ☆

stan blackpink for clear skin, have a great day!

-madi/madeline

✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧

Step-by-step explanation:

Solve for x helppp(10 points)

Answers

Answer:

x = n - m

Step-by-step explanation:

To solve for x we have to isolate it.

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] = [tex]n^{2}[/tex]

First, let's subtract  [tex]m^{2}[/tex] from both sides of the equation:

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] -  [tex]m^{2}[/tex] = [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now the equation looks like this: [tex]x^{2} \\[/tex] =  [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now we have apply a square root to both sides to remove the exponent from the x: [tex]\sqrt{x^2}[/tex] = [tex]\sqrt{n^2 - m^2}[/tex]

The square root and the exponents cancel out on both sides and you're left with: x = n - m

To solve for x the equation is: x = n - m

I hope this helps! :)

Reduce the matrix
[1,2,-1;-1,3,3;0,2,-1]
to echelon form​

Answers

Answer:

[1, 0, 0; 0, 1, 0; 0, 0, 1]

Step-by-step explanation:

[1, 2, -1; -1, 3, 3; 0, 2, -1]

Row Operation 1: Add 1 times the 1st row to the 2nd row:

[1,2,-1;0,5,2;0,2,-1]

Row Operation 2: Multiply the 2nd row by 1/5:

[1,2,-1;0,1,2/5;0,2,-1]

Row Operation 3: Add -2 times the 2nd row to the 3rd row:

[1,2,-1;0,1,2/5; 0, 0, -9/5]

Row Operation 4: Multiply the 3rd row by -5/9:

[1,2,-1;0,1,2/5; 0, 0, 1]

Row Operation 5: Add -2/5 times the 3rd row to the 2nd row:

[1,2,-1;0,1,0;0,0,1]

Row Operation 6: Add 1 times the 3rd row to the 1st row:

[1,2,0;0,1,0;0,0,1]

Row Operation 7: Add -2 times the 2nd row to the 1st row:

[1,0,0; 0,1,0;0,0,1]

Solve the following equation.
1/3 k + 80 = 1/2 k + 120

Answers

Answer:

2; 3; 80; 1; -40; 1; -240 (answered from left to right then the next line)

Step-by-step explanation:

This is a question on fractions and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

240

Step-by-step explanation:

k/3+80=k/2+120

K/3-k/2=120-80

3k-2k/6=40

K/6=40

K=240.

So the value of k is 240.

everything is on the image, this is a timed test so it would mean alot if you could help

Answers

Answer:

no its not 3 goes to two letter so no

Step-by-step explanation:

2. The mean birth weight of a full term boy born in the US is 7.7 lbs, with standard deviation of 1.1 lbs. A. Find the probability that a boy born full term in the US weighs less than 7 lbs. B. Find the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs.

Answers

Answer:

A

The value is [tex]P( X < 7 ) =0.26226[/tex]

B

The value is [tex]P( X < 7 ) = 0.00073[/tex]

Step-by-step explanation:

From the question we are told that

  The population mean is  [tex]\mu = 7.7 lbs[/tex]

   The standard deviation is [tex]\sigma = 1.1 \ lbs[/tex]

  The sample size is  n =  25

Generally the probability that a boy born full term in the US weighs less than 7 lbs is mathematically represented as

     [tex]P( X < 7 ) = P( \frac{X - \mu }{\sigma} < \frac{7 - 7.7 }{1.1 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>   [tex]P( X < 7 ) = P(Z <- 0.6364 )[/tex]

From the z table  the area under the normal curve to the left corresponding to    -0.6364  is

    [tex]P(Z <- 0.6364 ) =0.26226[/tex]

=>   [tex]P( X < 7 ) =0.26226[/tex]

Generally the standard error of mean is mathematically represented as  

       [tex]\sigma_{x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>     [tex]\sigma_{x} = \frac{ 1.1 }{\sqrt{25} }[/tex]

=>     [tex]\sigma_{x} = 0.22[/tex]

Generally the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs is mathematically represented as

         [tex]P( \= X < 7 ) = P( \frac{\= X - \mu }{\sigma_{x}} < \frac{7 - 7.7 }{ 0.22 } )[/tex]

=>      [tex]P( X < 7 ) = P(Z <- 3.1818 )[/tex]

From the z table  the area under the normal curve to the left corresponding to    -3.1818  is

=>      [tex]P(Z <- 3.1818 ) = 0.00073[/tex]

=>      [tex]P( X < 7 ) = 0.00073[/tex]

16. Mario has $15. He spends $6.25 on admission to the ice
skating rink, $2.95 to rent skates, and $1.65 each for 2 hot
chocolates. How much money does he have left?

Answers

Answer:

4.15

Step-by-step explanation:

Minus it all

15 minus 6.25 is 8.75

8.75 minus 2.95 equals 5.8

5.8 minus 1.65 equals 4.15

Write the slope-intercept form of the equation of the line described. Through (-5, 2) parallel to y = 4

Answers

Y = 0x + b
2 = 0 + b, b = 2
Y = 2

In △LMN, S is the centroid. If NP=69 find SP.

Answers

Answer:

maybe in the 70s actually

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

The centroid divides each median in a ratio of 2:1.

**Need Help as soon as possible**

Find f(0), f(1), and f(5)
SEE PHOTO for details.

(I will give you POINTS)

Answers

Answer:

f(0)=1

f(1)=4

f(5)=-4.5

Step-by-step explanation:

0 and 1 are in the second domain, so you use the second equation

(0+1)^2=1^2=1

(1+1)^2=2^2=4

5 is in the third domain, so you use the third equation

-1/2(5)-2=-2.5-2=-4.5

Can y’all pls solve this

Answers

Answer:

1.

x=2+5x=0+7x=4x+1+37x=x+2+4

2.

x=2-33x=-2-4x=2x+7-5x=4x+6-7

Help! This is due today and I don’t know nothing

Answers

Answer:

1.A

2.A

3.B

4.B

Step-by-step explanation:

That the answer

the ratio of horses to chickens on a farm is 9:4. If there are a total of 169 animals, how many chickens are on the farm?

Answers

Answer:

52 chickens

Step-by-step explanation:

Step one:'

given

we are told that the total number of animals is 169

the ratio of horses to chickens= 9:4

total ratio= 13

Required:

number of chickens

Applying part to all principle, let the number of chickens be x

4/13=x/169

cross multiply

4*169=13*x

divide both sides by 13

x=4*169/13

x=676/13

x=52

There are 52 chickens

1.682 inches rounded to the nearest whole number is 1 inches?

Answers

Answer:

False anything over the halfway point or .5 would be rounded to the number above in this case 1.682 would be rounded to 2.

Answer:

No, it is 2 inches because 6 rounds up.

Hope this helps and have a great day!

And please mark me brainliest if you can :)

find the equation of the line shown

Answers

Answer:

y = x + 1

Step-by-step explanation:

find slope (y2-y1)/(x2-x1)

pick 2 points (0,1) and (1,2)

(2-1)/(1-0) = 1/1 = 1

Since (0,1) you know that y intercept is 1

the equation in slope intercept form: y = x + 1

Abby took an 8-question multiple-choice quiz. Suppose
that her probability of correctly answering any question is
0.75. What is Abby's probability of correctly answering
exactly 6 questions on the quiz?
O 0.311
0 0.623
O 0.240
0.089

Answers

It is 0.0623 hope it helps

what does it mean to be a function how can you determine functionality of a relation or eqaution graph

Answers

Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.

A country’s daily oil production can be approximated by q(t)=0.013t^2-0.6t+5.27

Answers

If the value of "y" varies directly with "x"
and y = -8 when x = 20, find "y" if x = -4.
Enter the number that belongs in the green box.
Reduce to simplest form.

Omar is about to start his final semester of college, and he doesn't have enough money saved to afford the $750 he needs in books. He's 21, so he's going to open his own credit card to pay for the books, and then not use it again. His plan is to pay $100 per month toward his bill, until it's paid off. Which credit card offer is the best offer for Omar?​

Answers

It depends on the interest and what his credit score is to be able to get the best offer with low interest. Need more info to answer this correctly.

Which expression is equivalent to 3m+1-m?
A-2+m-1+m
B-1+m
C-3m-1
D-3m

Answers

Answer:

A

Step-by-step explanation:

Answer:

option  (a) is correct.

2 + m - 1 + m is an equivalent expression  to the given expression  3m+1-m

Step-by-step explanation:

Given expression  3m+1-m

We have to choose an equivalent expression from given options.

Equivalent expression are those expression that looks different but are same.

Like 4+2 = 6  and 3+ 3 = 6

Both have same value but looks differently.

Like terms are term having same variable with same degree.

Consider the given expression  3m+1-m

Simplify by adding like terms,

3m + 1 - m = (3-1) m + 1

Thus, (3-1) m + 1  = 2m + 1

Also 2m + 1 can be written as m + m + 2 - 1

Thus, option  (a) is correct.

A middle school mathematics teacher except a teaching position that pays 40,000 per year, each year the expected raise is $2000. How much total money with this teacher and teaching middle school math Mathematics over the first 30 years?

Answers

9514 1404 393

Answer:

  $2,070,000

Step-by-step explanation:

The series of salaries has a first term of $40,000 and a common difference of $2,000. The sum of them is given by the formula ...

  Sn = (2a1 +d(n -1))(n/2)

where a1 is the first term of the series, d is the common difference, and n is the number of terms.

In this problem, we have ...

  a1 = 40,000; d = 2,000; n = 30

so the sum is ...

  S30 = (2(40,000) +2,000(30 -1))(30/2) = (80,000 +58,000)(15)

  S30 = 2,070,000

The teacher will earn $2,070,000 over 30 years on this salary schedule.

Convert the rate 25 miles per hour to feet per second

Answers

Mile Per Hour to Foot Per Second Conversion Table
Miles Per Hour Feet Per Second
22 mph 32.27 ft/s
23 mph 33.73 ft/s
24 mph 35.2 ft/s
25 mph 36.67 ft/s

Answer:

36.67 feet / second

Step-by-step explanation:

We will be using Dimensional Analysis to solve this question

We are given the rate: 25 miles / hour

Converting the Miles to feet:

We know that 1 mile = 5280 feet

So, we can say that [tex]\frac{5280 feet}{1 mile}[/tex] = 1

Multiplying the Given rate by 1:

[tex]\frac{25 miles}{Hour}[/tex] * 1

(multiplying by 1 will not change the actual value of the expression)

[tex]\frac{25 miles}{Hour}[/tex] * [tex]\frac{5280 feet}{1 mile}[/tex]                                                          (since 5280 feet/ 1 mile = 1)

here, the 'mile' will cancel out and we will get:

[tex]\frac{25 * 5280 feet }{Hour }[/tex]  

[tex]\frac{132000 feet}{Hour}[/tex]

Converting the Hours to Seconds:

We know that 1 hour = 3600 seconds

So, we can say that:

[tex]\frac{1 Hour}{3600 seconds}[/tex] = 1

Multiplying the Rate by 1:

[tex]\frac{132000 feet}{1 Hour} * 1[/tex]

(multiplying by 1 will not change the actual value of the expression)

[tex]\frac{132000 feet}{1 Hour} * \frac{1 Hour}{3600 seconds}[/tex]                                   (since 1 hour / 3600 seconds = 1)

Here, the 'Hour' in the numerator and the denominator will cancel out to make:

[tex]\frac{132000 feet}{3600 seconds}[/tex]

which can be simplified to:

[tex]\frac{36.67 feet}{second}[/tex]

Therefore, 25 mph can also be written as 36.67 feet per second

FInd the area of the circle

Answers

Answer:

A = 12.56 m²

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Geometry

Area of a Circle: A = πr²d = 2r

Step-by-step explanation:

Step 1: Define

d = 4 m

Step 2: Find r

Substitute:               4 = 2rIsolate r:                   2 = rRewrite:                    r = 2 m

Step 3: Find Area

Substitute:               A = π(2)²Substitute:               A = (3.14)(2)²Evaluate:                  A = (3.14)(4)Multiply:                   A = 12.56 m²

What is the volume of the figure? Enter the answer in the box.


Answers

Answer:

217,600

Step-by-step explanation:

Multiply all the sides

Factorise fully the following 2x+8

Answers

2x +8= 2(x+4)
Where 2 is the common factor.

Please help. It’s not “yes, corresponding angles converse”

Answers

Answer:

Yes,Corresponding Angles

Step-by-step explanation:

any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

Answer:

It is yes,corresponding angles

Step-by-step explanation:

(GIVING BRAINLIEST!!)
Solve the equation using equivalent fractions. SHOW YOUR WORK

4/5 + 3/15 - 2/3

Answers

Answer:

0.3 or 1/3

Step-by-step explanation:

add 4/5 + 3/15=1

then 1-2/3 = 1/3

Answer: 1/3

[tex]\frac{4}{5}+\frac{3}{15}-\frac{2}{3}\\\\=\frac{4}{5}+\frac{3}{3.5}-\frac{2}{3}\\\\=\frac{4}{5}+\frac{1}{5}-\frac{2}{3}\\\\=1-\frac{2}{3}\\\\=\frac{3}{3}-\frac{2}{3}\\\\=1/3[/tex]

Step-by-step explanation:

f (x) = 20 - (1.27)
growth or decay ?

Answers

Answer:

Decay...? Read below

Step-by-step explanation:

Assuming you meant to put 20 - (1.27)x, it is decay. As the x increases, the y decreases, making it decay.

A t-shirt printing company charges a one-time setup fee, plus a charge to print each t-shirt. The math club had 75 t-shirts printed for a cost of $424. The science club had 50 t-shirts printed for a cost of $299. What is the cost of having 170 t-shirts printed? *

Answers

Answer:

$826.70

Step-by-step explanation:

If 75 t-shirts cost $ 424, it implies that the value of each shirt is $ 5.65 (424/75). Now, in the case of the 50 shirts, the total value is $ 299, with which the value of each unit is $ 5.98.

Thus, we can see that in an increase of 50% of the units (from 50 to 75), the discount is of the order of, as it arises from the following calculation:

5.98 = 100

5.65 = X

((5.65 x 100) / 5.98) = X

94.48 = X

Thus, since 100 - 94.48 is 5.52, the discount made for the 25 shirts is 0.22% each unit (5.52 / 25). Thus, in the case of printing 170 t-shirts, taking into account this tariff system, and taking as a base price that of 50 t-shirts at $ 299, a discount of 0.22% would be made on each of the 120 remaining t-shirts. Thus, 120 t-shirts at $ 717.6 (5.98 x 120) would be added to the initial $ 299, on which a 26.4% discount (0.22 x 120) would be applied, with which the final price would be $ 527.7 (717 x 0.736).

Thus, the total price of the shirts would be $ 826.7 (that is, adding the base price of $ 299 plus the price of the 120 extra shirts of $ 527.7).

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