Answers
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) is
f'(x) = lim( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= lim( h to 0 )[tex]\frac{x+h+\frac{1}{x+h }-(x+\frac{1}{x} ) }{h}[/tex]
= lim(h to 0) [tex]\frac{x+h+\frac{1}{x+h}-x-\frac{1}{x} }{h}[/tex]
= (lim(h to 0) [tex]\frac{h+\frac{1}{x+h}-\frac{1}{x} }{h}[/tex]
= lim( h to 0 ) [tex]\frac{hx(x+h)+x-(x+h)}{hx(x+h)}[/tex]
= lim( h to 0 ) [tex]\frac{hx(x+h)+x-x-h}{hx(x+h)}[/tex]
= lim(h to 0 ) [tex]\frac{hx(x+h)}{hx(x+h)}[/tex] - [tex]\frac{h}{hx(x+h)}[/tex]
Cancel the numerator/denominator of first fraction and h in the second
= lim ( h to 0 ) 1 - [tex]\frac{1}{x(x+h)}[/tex] ( let h go to zero ), then
f'(x) = 1 - [tex]\frac{1}{x^2}[/tex]
Related Questions
I NEED HELP PLS HURRY
Answers
Answer:
4th option
Step-by-step explanation:
(0,4) F (-40) (40) (0, -4) What is the length of FG ? 811 units O OD. units 3 units units 3 Ос. units 13
Answers
Hope it helps
PLEASE HELP: alg 1
what type of variation does the table represent?
Answers
Answer:
a
Step-by-step explanation:
its indirect cause the direct variation would be the y getting bigger with the x, but it's not. It's getting lower when the x is getting higher. hope this helps.
The sum of the angle measures of any triangle is 180°. If one angle of a triangle measures 35º and another angle measures 72º, what is the measure of the third angle?
Answers
Answer:
73°
Step-by-step explanation:
Start with 35° + 72° = 107°
Then 180° - 107° = 73°
Answer:
[tex]we \: knw \: that \: total \: angle = 180 \\ 35 + 72 + x = 180 \\ 107 + x = 180 \\ x = 180 - 107 \\ x = 73 \\ thank \: you[/tex]
For the following system of equations, the value of x is______
The system of equation is x + 3y = 6
6x - 6y = 4
PLEASE HELP!!
Answers
Answer: x = 2, y = 4/2
Step-by-step explanation:
Solve the System of Equations
x + 3y = 6 6x − 6y = 4
Subtract 3y from both sides of the equation.
x = 6 − 3y 6x − 6y = 4
Replace all occurrences of x with 6 − 3y in each e quation.
Replace all occurrences of x in 6x − 6y = 4 with 6 − 3y.
6 (6 − 3y) − 6y = 4
x = 6 − 3y
Simplify 6 (6 − 3y) − 6y.
36 − 24y = 4
x = 6 − 3y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
−24y = −32
x = 6 − 3y
Divide each term by −24 and simplify.
y = 4/3
x = 6 − 3y
Replace all occurrences of y with 4/3 in each equation.
Replace all occurrences of y in x = 6 − 3y with 4/3
x = 6 − 3 ( 3 )
y= 4/3
Simplify 6 − 3 ( 4 )
x = 2
y = 4/3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(2, 4 /3 )
The result can be shown in multiple forms.
Point Form: 2, 4 /3
Equation Form: x = 2, y = 3
What is .09375 as a fraction
Answers
Answer:
.09375 as a fraction is [tex]\frac{3}{32}[/tex]
0.09375 as a fraction in its lowest form is 3/32.
To convert the decimal number 0.09375 into a fraction, we can express it as the numerator over the appropriate power of 10 in the denominator.
The decimal number 0.09375 can be written as 9375/100000.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).
In this case, the GCD of 9375 and 100000 is 3125,
So, we can divide both numbers by 3125:
= 9375 ÷ 3125 / 100000 ÷ 3125
= 3/32
Therefore, 0.09375 as a fraction in its lowest form is 3/32.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ6
At a real estate agency, an agent sold a house for $360,000. The commission rate is 25% for the real estate agency and the commission rate for the agent is 30% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answers
Answer: See explanation
Step-by-step explanation:
a. The amount that the agency make on the house will be 25% of $360,000. This will be:
= 25% × $360,000
= 25/100 × $360,000
= 0.25 × $360,000
= $90,000
b. The amount that the agent earn in commission will be:
= 30% × $90,000
= 30/100 × $90,000
= 0.3 × $90,000
= $27,000
-10 = -0.2k
k = ?
solve for k
Answers
-10/-0.2 =50
so 50=k
Answer:
-10 = -0.2k
we multiply both sides by 5
-50 = -k
k = 50
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME???!!!
Answers
Answer:
D. The graph has a positive rate of change
Step-by-step explanation:
The graph's slope, or rate of change, is positive, which means that D is your answer.
A sphere has a Volume of 972 cubic feet. Find the radius of the sphere.
Answers
Answer:
6.15
Step-by-step explanation:
Shawn is playing a game with a set of cards. Half of them are blue and the other half are yellow. In the game, the player guesses the color of the top card, looks at the card, and returns the card to the deck. The player continues to do this, shuffling the deck after each guess.
Shawn has guessed the first three attempts as "blue” and has been correct on each guess. He says he will guess "yellow” for the next card since a yellow card is due to happen. Is Shawn’s reasoning correct?
Yes, Shawn has guessed well so far, so it is clear that he cannot miss.
No, all of the cards have been blue so far, so the next one must also be blue.
Yes, half of the cards are yellow, so the fourth card should be yellow to compensate for the first three cards being blue.
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
Answers
Answer:
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
edge 2020
The set of ordered pairs below represents a function.
(5,8) , (-8,1) , (15,-4), (-1,16), (17,7)
Mariela claims that she can add any point to the set and it will still represent a function.
Which of the following points can be used to show that Mariela's claim is incorrect?
Select all that apply.
(1,1)
(-8,6)
(17,-3)
(-5,8)
(-1,-16)
Answers
(1,1)
(-1,-16)
(-5,8)
(-8,6)
(17,-3)
help pleseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee i think i spelled that wrong
but stillplese help
Answers
Help me out please an thank you
Answers
I
Write an equation of the line passing through the point (2, 3) and
PERPENDICULAR to the line y = -2x + 2.
Answers
Answer:
y= 1/2 x +7
the slope is 1/2 since hwne it's perpendicular, it's reciprocal and the sign also changes
Step-by-step explanation:
3= -4 +b
b= 7
[tex](\frac{3x^-3y^4}{5x^6y^7 })^-2[/tex]
Answers
9514 1404 393
Answer:
(25/9)x^18·y^6
Step-by-step explanation:
Maybe you want this simplified.
The appropriate rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
__
[tex]\left(\dfrac{3x^{-3}y^4}{5x^6y^7}\right)^{-2}=\left(\dfrac{3x^{-3-6}y^{4-7}}{5}\right)^{-2}=\dfrac{3^{-2}}{5^{-2}}\cdot x^{(-2)(-9)}y^{(-2)(-3)}\\\\=\boxed{\dfrac{25}{9}x^{18}y^{6}}[/tex]
Which expression shows 10 less than a
number n?
A n + 10
B 10•n
C 10-n
Dn-10
Answers
Answer:
D
Step-by-step explanation:
I hope this helps you with your question :)
Answer:
d
Step-by-step explanation:
n - 10
Because you are trying to find 10 less than n, so you would want to subtract 10
Hope this Helps!!!
Please help me with this..
Answers
Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How many cases can Jane fill with the remaining bottles? How many bottles will be left?
Answers
Answer:
6364 cases
6364 bottles are left
Step-by-step explanation:
From the question, we are given the following
Total bottles of water = 8500bottles
Total cases filled = 2136cases
Required
Number of cases Jane can film with the remaining bottle.
Number of cases Jane can fill = 8500-2136
Number of cases Jane can fill with the remaining bottle= 6364 cases
Number of bottles left = number of cases Jane have left to fill.
Hence;
Number of bottles left = 6364 bottles
I need help, I don't quite understand
Answers
Answer:
1
Step-by-step explanation:
so we have:
f+2>5 2 goes the other side, so
f>5-2
f>3
f+4<9 4 goes to the other side, so
f<9-4
f<5
we have two inequality
f>3
f<5
f belongs (3,5), we have only one value for this, it is 4
Katherine went to dinner with her mother that same day of shopping. their total bill was $34.80. the sales tax is 6%. if they left a 25% tip, how much was their total bill?
Tax- ?
Tip- ?
How much was their total bill with tax and tip added(hundredths place)
Answers
Answer:
45.58
Step-by-step explanation:
Tax is 2.08
Tip is 8.7
Hope this helped
What is the acceleration of the bike from 0 seconds to 6 seconds?
Answers
Answer:
3mph
Step-by-step explanation:
If f ( x ) = 3x + 2 and g ( x ) = 2x - 2, find f ( x ) g ( x )
Select one:
a. 6x 2 - 2x - 4
b. 6x 2 + 2x + 4
c. No solution
d. 5x 2
Answers
Answer:
[tex]f(x)g(x) = (3x + 2)(2x - 2) \\ = 6 {x}^{2} - 6x + 4x - 4 \\ = \boxed{6 {x}^{2}- 2x - 4} \\ a. \: is \: the \: right \: answer[/tex]
Simplify the expression:
4(2 + 4k)
Answers
Answer:
8 + 16k
Hope this helps
Step-by-step explanation:
What is the domain and range if the equation is y= x^2 -2x -8
Answers
Answer:
Domain :
R (all real numbers)
Range :
{y element R : y>=-9}
An ounce of almonds costs $1.40. If Joey buys 2.4 ounces of almonds, how much will he have to pay?
Answers
Answer:
Joey will pay $3.36 for 2.4 ounces of almonds.
Step-by-step explanation:
Given that:
Cost of almonds = $1.40 per ounces
Number of ounces bought by Joey = 2.4 ounces
Cost of 2.4 ounces = Ounces of almond * Cost per ounce of almond
Cost of 2.4 ounces = 2.4 * 1.40
Cost of 2.4 ounces = $3.36
Hence,
Joey will pay $3.36 for 2.4 ounces of almonds.
3) This decimal is colored to show
1
Answers
31. Two charged particles, each of 2 x 10-C, are brought from infinity to a
separation of 5 cm. Find the increase in electrical potential energy in the
process.
Answers
Answer:
P = 72 J
Step-by-step explanation:
Given that,
Charges, [tex]q_1=q_2=2\times 10^{-5}\ C[/tex]
These charges are brought from infinity to a separation of 5 cm.
We need to find the increase in the electrical potential energy in the process. The formula for the electric potential energy is given by :
[tex]P=k\dfrac{q_1q_2}{r}\\\\P=9\times 10^9\times \dfrac{(2\times 10^{-5})^2}{0.05}\\\\P=72\ J[/tex]
So, the required electric potential energy is 72 J.
Answer: bye
Step-by-step explanation:
for sending answers to people with stipud messages that’s why nobody replied to your questions cause your annoying it’s karma have a bad day with your pixelated profile picture
josie and caitlin share sweets in the ratio 2:7 caitlin has 10 more sweets than josie how many sweets does caitlin have
Answers
6 identical toys weigh 1.8kg. a) convert 1.8kg to grams. b) what is the weight of one toy? Give your answer in grams. c) how much would 4 toys weigh? Give your answer in kilograms
Answers
Answer: a) 1800g b) 300g c) 1200g
Step-by-step explanation:
a) 1.8 x 1000 = 1800g
b) 1800g / 6 toys= 300g > the weight of one toy
c) 300g x 4 toys = 1200g / 1000 = 1.2 kg
Answer:
a. 1.8kg to grams
1000g =1kg
x =1.8kg
cross multiply
x = 1.8 x 1000
x= 1800g
b. weight of one toy
6 toys = 1800g
1 toy = 1800÷6
1 toy = 300g
c. 1kg = 300g
4toys = x
x = 4 x 300
x = 1200g
1200g to kilogram
1000g = 1kg
1200g = x
cross multiply
1000x = 1200
x = 1200÷1000
x = 1.2kg