Find the slope of an equation f(x)=-3sqrt(x) at the point (9,-9)

Answers

Answer 1

Answer:

Slope is [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=-3\sqrt{x}[/tex]

Find the derivative using the product rule:

[tex]f'(x)=\frac{d}{dx}(-3)*\sqrt{x}+-3*\frac{d}{dx}\sqrt{x}[/tex]

[tex]f'(x)=-3*\frac{1}{2\sqrt{x}}[/tex]

[tex]f'(x)=\frac{-3}{2\sqrt{x}}[/tex]

Plug in coordinates to find slope at that point:

[tex]f'(9)=\frac{-3}{2\sqrt{9}}=\frac{-3}{2(3)}=\frac{-3}{6}=-\frac{1}{2}[/tex]

Therefore, the slope of the equation at the point (9,-9) is [tex]-\frac{1}{2}[/tex].

Answer 2

Answer:

Step-by-step explanation:

f(x) = -3√x

f'(x) = -1.5/√x

f'(x) = -1.5/√9

f'(x) = -1.5/3

f'(x) = -0.5


Related Questions


The maximum weight of a suitcase that an airline allows is 50 pounds. For every 1 pound, there is approximately 0.45 kilograms.

Answers

Answer: 22.5 kg

Step-by-step explanation:

You did not attach a question, so I'm going to assume that it is asking for the maximum weight of a suitcase in kilograms.

Mark each equation with the number that makes it true!

Answers

Answer:

Check step-by-step

Step-by-step explanation:

18 + s = 33 = (15)

27 = 9 • s = (3)

40 - s = 23 = (17)

5 • m = 35 = (7)

18/s = 3 = (6)

m/5 = 10 = (50)

m + 14 = 18 - m= (2)

m + m + 12 = 22 (5)

n + 7 = 18 (11)

n - 9 = 22 (31)

Have A good day! Let me know if this helps!

Find the equation in standard form of the line passing through the points (6, 3) and (1,5)

Answers

Answer:

2x+5y=27

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-3)/(1-6)

m=2/-5

m=-2/5

y-y1=m(x-x1)

y-3=-2/5(x-6)

y-3=-2/5x+12/5

y=-2/5x+12/5+3

y=-2/5x+12/5+15/5

y=-2/5x+27/5

y-(-2/5x)=27/5

y+2/5x=27/5

5(y+2/5x)=5(27/5)

5y+2x=27

2x+5y=27

10(11a) what is the answer need help ASAP

Answers

[tex]10(11a) \\ multiply \: \: \: 10 \: \: \: by \: \: \: 11a \\ = 10 \times 11a \\ 110a[/tex]

Answer:

110a

Hope you could get an idea from here.

Doubt clarification - use comment section.

Ok done. Thank to me :>

Plz help well mark brainliest if you are correct!!…

Answers

Answer:

A. y<-3

Step-by-step explanation:

What is the area of this figure ?

Answers

Answer:

172 in

Step-by-step explanation:

4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)


1.
Oliver owes his sister $27.

2.
A building is 38 feet tall.

3.
Erica jumped 2.7 feet above ground.

4.
The scuba diver was 38 feet below sea level.

5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7

Answers

Answer:

Below

Step-by-step explanation:

1.-d

2.-a

3.-e

4.-b

5.-c

Answer:

-8.3ithink   so

Step-by-step explanation:

Desde los extremos A y B de un tendedero de 240 cm de largo partes dos hormigas simultáneamente. La hormiga que sale de A avanza a 10 cm/s, y la que se mueve desde el extremo B lleva una carga, por lo que se desplaza a 6 cm/s. ¿A qué distancia del punto A se encontrarán y en cuánto tiempo? Traza una recta que represente el desplazamiento de cada una de las hormigas.

Answers

Ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

Dado que desde los extremos A y B de un tendedero de 240 cm de largo partes dos hormigas simultáneamente, y la hormiga que sale de A avanza a 10 cm/s, y la que se mueve desde el extremo B lleva una carga, por lo que se desplaza a 6 cm/s, para determinar a qué distancia del punto A se encontrarán y en cuánto tiempo se debe realizar el siguiente cálculo:

10 x 15 = 1506 x 15 = 90150 + 90 = 240

Por lo tanto, ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

Aprende más en https://brainly.com/question/18500585

Write all the terms of the following X+y+z​

Answers

Answer:

xyz

Step-by-step explanation:

The terms are the addends in the sum:

  x, y, z

A herd of 4 horses has 1 white and some black horses. What is the ratio of while to black
horses?

Answers

Answer:

4:1

Step-by-step explanation:

if we assume there are only two types of horses it would be 4 black horses per 1 white

Much help needed thanks!

Answers

The correct answer is D comment if you need me to show the work/ explain


Using the formula F = 9/5 C + 32, convert 25° Celsius (C) to
degrees Fahrenheit (F).
A.) 57°
B.) 77°
C.) 257°
D.) 269.5

Answers

Answer:77°

Step-by-step explanation:

Since we are trying to convert Celsius to Fahrenheit, we just need to replace C in the equation with the value of 25°.

[tex]F=\frac{9}{5}C+32[/tex]

[tex]F=\frac{9}{5}25+32[/tex]

[tex]F=45+32[/tex]

[tex]F=77[/tex]

The answer is 77°

Pleaseeeeeeeeeee help me

Answers

Answer:

[tex]\huge\boxed{6x-7y=21}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept (0, b)

We have:

[tex]y=\dfrac{2}{3}x-3\to m=\dfrac{2}{3};\ b=-3[/tex]

From answers:

[tex]6x-7y=21\qquad|-6x\\\\-7y=-6x+21\qquad|:(-7)\\\\y=\dfrac{6}{7}x-3\to m=\dfrac{6}{7};\ \boxed{b=-3}[/tex]

[tex]-\dfrac{2}{3}x+3y=6\qquad|+\dfrac{2}{3}x\\\\3y=\dfrac{2}{3}x+6\qquad|:3\\\\y=\dfrac{2}{9}x+2\to m=\dfrac{2}{9};\ b=2[/tex]

[tex]\dfrac{2}{3}x+3y=-3\qquad|-\dfrac{2}{3}x\\\\3y=-\dfrac{2}{3}x-3\qquad|:3\\\\y=-\dfrac{2}{9}x-1\to m=-\dfrac{2}{9};\ b=-1[/tex]

[tex]x+4y=12\qquad|-x\\\\4y=-x+12\qquad|:4\\\\y=-\dfrac{1}{4}x+3\to m=-\dfrac{1}{4};\ b=3[/tex]

Answer:

6x-7y=21

Step-by-step explanation: :)

can't believe that you got me in a suit and tie I had to take a pull so I wouldn't cry
You got a line out the church door sayin' goodbye
Yeah, I believe 'em when they say you're in a better place
NAME THE SONG AND THE SINGER 50 POINTS!!!!!

Answers

Answer:

give heaven some hell by Hardy

Step-by-step explanation:

A stadium has 30 rows. The first row has 18 seats.
Each row has 3 more seats than the previous row.
How many seats are in the 25th row?

Answers

Answer: 88

Step-by-step explanation:

i took the 18 from the first row and continued to add 3 to get to 88

The area of a rectangular dog run can be no more than 120 square feet. The length is 15 feet. What is the width of the dog run.

Answers

Answer:

Length x width= answer

so 15 x 8 = 120

Step-by-step explanation:

[-4,6)
Write the interval as an inequality.

Answers

Answer:

4<×<6

Step-by-step explanation:

interval as an inequality

100 points brainlyest if right

Answers

Answer:

I don't know the question

Step-by-step explanation:

I would love to help tho

Answer:

you never put the question up for us to answer it

Step-by-step explanation:

Mrs Boswell is ordering cookies from a bakery for her daughter’s eighth grade graduation party she uses a table to figure out how many cookies to order

Answers

Answer:

I'm pretty sure the answer is B, I hope this helps!

PLEASE Help!!:
Check for understanding:

Answers

1)   Circumference:  C = D × π = 40 × 3.14 = 125.6

     Area:  [tex]S=r^2.\pi =(\frac{D}{2} )^2.\pi = (\frac{40}{2})^2.3,14=1256\\[/tex]

2)  Perimeter: P = 10.82 +10.82 + 12 + ( 12 . 3,14 )/2 = 52.48 mm

     Area:  [tex]S=\frac{9.12}{2}+(\frac{12}{2} )^2.\pi = 167.04<mm^2>[/tex]

 

    ok done. Thank to me :>

Which of the following functions has a period of 8 π ?
y =sin1/8x
y = sin1/4x
y = sin4x
y = sin8x

Answers

Answer: Choice B

Explanation:

The general template of a sine function is

y = Asin(B(x-C))+D

The value of B is the only thing that determines the period T. We ignore every other term.

It turns out that T = 2pi/B which can be solved to B = 2pi/T

Plug in the given period of T = 8pi and compute to get

B = 2pi/T

B = (2pi)/(8pi)

B = 2/8

B = 1/4

This means that the term out front of the x is 1/4 and the equation must be [tex]y = \sin\left(\frac{1}{4}x\right)[/tex] which matches with answer choice B.

If one length of a board is 1 1/3 feet long, how many lengths of board is needed to cover 12 feet?

Answers

Answer:

9

Step-by-step explanation:

12÷1 [tex]\frac{1}{3}[/tex]=9

Please help with algebra class I’m struggling

Answers

Answer:

Step-by-step explanation:

For what mileages will company A (which has a flat rate of $111) be less than the cost for company B

Company A < Company B

              111 < 75 + 0.80m

solving

       111 - 75 < 75 - 75 + 0.80m

              36 < 0.80m

     36/0.80 < 0.80m/0.80

as we are dividing by a positive number, we don't have to change the direction of the < sign.

              45 < m

      or     m > 45

so if Ali intends to drive more than 45 miles, Company A's vehicle will be less expensive to rent

PLS HELP ME WITH THIS (4 x 1) + (4 x 3)

Answers

Answer:

16

Step-by-step explanation:

4x1 is 4

4x3 is 12

4+12 is 16

Answer:

16

Step-by-step explanation:

HELP

HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.

THX

Answers

Answer:

144

Step-by-step explanation:

Mark as Brainliest Answer

Find the next three terms in the arithmetic sequence.
6, 12,18, 24,...

Answers

30, 36, 42

Hope this helped :)

Only Number 17!!!!!

Thank You!!

Answers

Ok done. Thank to me :>

Jessica made $156 for 12 hours of work.
At the same rate, how much would she make for hours of work?

Answers

Answer:

156/12=13

so makes 13 dollars a hour

Hope This Helps!!!

In the year 2016, the population of the U.K. was about
20.3% of the U.S. population. In 2016, the U.S.
population was about 323.4 million. What was the
approximate population of the U.K. in 2016?
15.9 million
627.7 million
303.1 million
65.7 million

Answers

Step-by-step explanation:

65 million. of was 15 million it would be lower percentage and the other two are too high for 20 percent

can someone pleasw helppppppp meee

Answers

It would be 2,5, and 6. The mode means the number that is repeating the most. Since 2, 5, and 6 all appear 3 times, that is the mode

Answer:

D. Modes are 2, 5, and 6

Step-by-step explanation:

The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency..

Other Questions
YO ANYONE WHO IS REALLY GOOD AT MATH THAT COULD HELP ME ? can someone help with this please Taking an active stance to address the tangible aspects of a health condition is known as _________________. A certain shampoo is available in two sizes. A 14.2 -ounce bottle costs 3.98$ . A 33.9 -ounce bottle costs 9.98$ .Find the unit price for each size. Then state which size is the better buy based on the unit price.Round your answers to the nearest cent. How would you write the quotient as a simplified fraction?A) 85146 = 18 23/36B) 85146 = 18 1/2C) 85146 = 18.5 D) 85146 = 17 23/46 please help me :)ty ty What does "however" tell readers about the sentence it introduces??A that it's a sentence that will show them a differenceB that they're about to be introduced to a new ideaC that they're about to hear an example of the idea in the previous sentenceD that it's a sentence that will show them similarity Which is the percent composition of bromine in the compound nabr?. Which phrase best completes the following sentence?A Sonia y Kenji_____los carros antiguos.Select one:1.les fascinan2.os fascina3.se fascina4.me fascinan The TV station, in _______ to massive popular demand, decided notto discontinue the soapopera.A. reactionB. responseC. answerD. rely After Mary finished college, began working in her chosen field, and started a family, her thinking became: Solve for the value of R.PLEASE HELP ME SOMEONE ILL GIVE YOU POINTS AND BRAINLIST ANSWER!!!! _______________ are sounds the auditory apparatus makes.vibrationsotoacoustic emissionscochlear action potentialsnone of the above My sister is a rockstar is an example of A. Metaphor B. Antithesis C. AbstractionD. Repetition E. Simile Help a bro outttttttt What is the result of 3 divided by three-fifths? Why does fulgencio become frightened of the gringo? find the discriminant of -2x^2+8=x^2-28 can someone help me please with advice. i an trying to get an upstream sensor fixed on my 2009 nissan murano and i went to firestone and they are trying ti charge me 499 for it. am i being ripped pff amd could go somewhere else to get it fixed for cheaper or are they chargung a decent price to get it fixed. please help:( help please!i can't figure it out.