Given the function f ( x ) = − 1 x + 3 x 4 , f(x)=− x 1 + 4 3 x , find f ′ ( 4 ) . f ′ (4). Express your answer as a single fraction in simplest form.
Step-by-step explanation:
The question is not well written. Let us say the function given as expressed as;
f(x) = -1/x + 3/x⁴
f'(x) means we are to differentiate the function with respect to x;
Given f(x) = axⁿ
f'(x) = naxⁿ⁻¹
f(x) = -x⁻¹ + 3x⁻⁴
Applying the differentiation formula we will have;
f'(x) = -1(-x⁻²)+(-4)3x⁻⁴⁻¹
f'(x) = x⁻²-12x⁻⁵
Express as a fraction
f'(x) = 1/x²-12/x⁵
To get f'(4), we will have to substitute x = 4 into the resulting expression
f'(4) = 1/4²-12/4(5)
f'(4) = 1/16-12/20
f'(4) = 1/16-3/5
Find the LCM
f'(4) = (5-48)/80
f'(4) = -43/80
Note that the function used was assumed but the same method can be employed to any other functions.
2 = 2(m − 8) − 2
m =
$330 is 12% less than the cost last year. Calculate the cost last year.
Answer:
just look that up and walla insta answer
Is there a constant rate of change? If yes, what is the rate?
Plz help I’m lost
A certain map shows two roads. Road A is 1 1 2 miles long but is 1 7 8 inches long on the map. What is the unit rate for inches per mile on this map? If road B is 8 miles long, how long is road B on the map?
Answer:
a) What is the unit rate for inches per mile on this map?
= 5/4 inches per mile
b) If road B is 8 miles long, how long is road B on the map?
10 inches on the map
Step-by-step explanation:
a) A certain map shows two roads. Road A is 1 1/2 miles long but is 1 7/8 inches long on the map. What is the unit rate for inches per mile on this map?
Unit rate for inches per mile is calculated as:
1 7/8 inches/ 1 1/2 miles
= 15/8 / 3/2
= 15/8 × 2/3
= 5/4 inches per miles
b) If road B is 8 miles long, how long is road B on the map?
The unit rate is given as:
5/4 inches per miles
Hence,
Road B = 8 miles long
The length of Road B on the map =
5/4 inches per miles × 8 miles
= 10 inches
Pls answer these and show work plss
Answer:
25x
Step-by-step explanation:
I need 4 answers , The cost per pound of the apples on sale is $
.The cost per pound of the apples on sale is $___
.
You can buy
pounds of apples for $18.00 ___
Since 1 pound = 16 ounces, so there are about ___
apples in each pound.
You can buy approximately ____
apples for $18.00.
Write a multiplication equation for "Eight $5 bills are worth $40."
Answer: use your 5 times tables.
Step-by-step explanation:
5, 10 15, 20 25, 30, 35, 40
then count how many times it gotyou to 40
it took 8 times to get to 40.
smash or pass? lets make this a trend :)
idea from dear amj1103
Answer:
Smash, all the Wayyyyyyyyyyyy
Answer:
Hehe
Step-by-step explanation:
DUE 10:00 PM HELP ASAP. When Sarah left your house this morning her cell phone was 80% charged and then it started to lose 8% charge for each hour there after write an equation for B in terms of tea representing the charge remaining in series battery as percentage t hours after Sara left her house
Answer:
The answer would be B=-8>80
Step-by-step explanation:
Determine whether the graph represents a function
Answer:
Step-by-step explanation:
18). Graph represent a function
19). Graph does not represent a function
Can anyone help me out with my Math homework plz and also can you provide step by step explanation of the attachment I will give you 20 points:
Answer:
y = -x + 2
Step-by-step explanation:
For any linear equation, the equation of the line can be written in the form 'y=mx+c'. In this form, m is the slope and c is the y-intercept. We can figure out both these things using the graph.
The slope is like the incline/decline and can be found by getting two points on the line, say (x1,y1) and (x2,y2) and using the following formula:
m = (y2-y1) / (x2-x1)
So lets take two points: (-1,3) and (2,0)
m = (0-3)/(2-(-1))
m = -3/3
m= -1
The y intercept (c) is the value for x when the line crosses the y-axis.
From the graph we can see that the line crosses the y axis when x=2
∴ c = 2
Now that we know the slope and intercept, we just sub them into the formula:
y = mx +c
y = -x + 2
Let me know if you have questions :)
Answer:
y equals -x plus 2
Step-by-step explanation:
for any linear equation, the equation of the line can be written in the form 'y=mx+c'. In this form, m is the slope and c is the y-intercept. We can figure out both these things using the graph.
the slope is like the incline or decline and can be found by getting two points on the line, say (x1,y1) and (x2,y2) and using the following formula:
m = (y2-y1) / (x2-x1)
The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely
Step-by-step explanation:
9x2 − 12x + 4 = 18 - 12x + 4 = 22 - 12x = 2(11 - 6x)
length of 1 side = ± sqrt 2(11-6x) (rej neg value)
Which of the following is the solution of the system of equations shown
Answer:
(3,-4)
Step-by-step explanation:
because the two lines meet at that point.
if -2/5r=-20, then r=50 true or false
Answer:
true
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
-2/5*50=-20
-2/250=-20
-1/125=-20
I think of a number i halve it then subtract four
Answer:
x/2-4
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
this question is not very detailed but I think ik what u mean. take a number, 8 for example. halve it, (divide by 2) and then subtract 4 & u are left with 0
If you go on this question at all you are a republican and that is good
Answer: hahshejehdbddndb
Step-by-step explanation:
Answer:
you chose poison thanks for the points payback
Step-by-step explanation:
don't do this to people
its rude and people actualy need help not free points
if
[tex]f(x) = \sqrt{x} + 12[/tex]
and
[tex]g(x) = 2 \sqrt{x} [/tex]
what is the value of
[tex](f - g)(144)[/tex]
?
Answer:
0
Step-by-step explanation:
We have the two functions:
[tex]f(x)=\sqrt{x}+12\text{ and } g(x)=2\sqrt{x}[/tex]
And we want to find (f-g)(144).
This is the same thing to f(144)-g(144).
So, let’s determine the value of f(144) and g(144) first:
[tex]\begin{aligned} f(144)&=\sqrt{144}+12 \\ &=12+12 \\ &=24\end{aligned}[/tex]
And:
[tex]\begin{aligned} g(144)&=2\sqrt{144} \\ &=2(12) \\ &=24 \end{aligned}[/tex]
Hence:
[tex]\begin{aligned} (f-g)(144) &= f(144)-g(144) \\ &=24-24 \\ &=0 \end{aligned}[/tex]
Our final answer is 0.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex](f - g)(x) = \sqrt{x} + 12 - 2 \sqrt{x} \\ [/tex]
[tex](f - g)(x) = - \sqrt{x} + 12[/tex]
[tex](f - g)(144) = - \sqrt{144} + 12[/tex]
[tex](f - g)(144) = - \sqrt{ {12}^{2} } + 12 [/tex]
[tex](f - g)(144) = - (12) + 12[/tex]
[tex](f - g)(144) = - 12 + 12[/tex]
[tex](f - g)(144) = 0[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Karsyn is getting ready for her date. She has 20 outfits to choose from. Half of her
clothes are dirty. Her mom washed 3 more outfits, how many outfits would Karsyn have
had to choose from if she did her laundry?
Identify the variable:
Write the equation:
How many outfits did she have?
EQUATIONS AND INEC
Worked examples
a) Solve these simultaneous equation by eliminating by subtraction.
5a + 2b = 16 equation 1
3a + 2b = 12 equation 2
Answer:
a=2 and b=3
Step-by-step explanation:
5(2) +2(3) = 10 +6 =16
3(2) + 2(3) = 12
Which are solutions of 1 < 3x-2 < 13? Choose all correct answers.
PLEAE HELP ME AND ANSWER CHOICES ABOVE!!
Answer: D. 5 > x > 1
1 < 3x -2 < 13
<=> 3 < 3x < 15
<=> 1< x < 5
Step-by-step explanation:
x>1 and x<5 and 1<x<5 are the solution of the inequality 1 < 3x-2 < 13.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 1 < 3x-2 < 13
One less than three times of x minus two less than thirteen.
We need to find the solution of the inequality.
Let us divide the given inequality into two parts
3x-2>1 and 3x-2<13
For first inequality
3x-2>1
3x>3
x>1
and the second inequality 3x-2<13
3x<15
x<5
Hence, x>1 and x<5 and 1<x<5 are the solution of the inequality 1 < 3x-2 < 13.
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
Which of the following sequences is not a geometric sequence?
50, 25, 12.5, 6.25, …
6, -12, 24, -48, …
0, 2, 4, 6, …
-1, -3, -9, -27, …
Step-by-step explanation:
the third sequence(0,2,4,6) is not a geometrical sequence
this may help you(:
Answer:
0, 2, 4, 6, … because the following sequence is arithmetic not geometric
The Allied Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from one city to another. If x represents the
BIG POINTS IF YOU ANSWER CORRECTLY PLEASE ANSWER ASAP number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth?
1.95x + 2.50 = 27.46; Isaac traveled 15.4 miles.
1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles.
2.50x + 1.95 = 27.46; Isaac traveled 11.8 miles.
2.50x + 1.95 = 27.46; Isaac traveled 10.2 miles.
Answer:
It should be the second one
Step-by-step explanation:
Answer:
The answer is - 1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles.
Step-by-step explanation:
You newton, and Descartes volunteer this summer. You have 2 times as many volunteer min as newton Descartes have 5040 volunteer min altogether how many min do you volunteer
Complete question is;
You, newton, and Descartes volunteer this summer. You have 2 times as many volunteer min as newton and Descartes. You all have 5040 volunteer min altogether. how many min do you volunteer?
Answer:
2520 volunteer minutes
Step-by-step explanation:
You have 2 times as many volunteer minutes as Newton and Descartes.
Now, if Newton and Descartes each have x volunteer minutes, it means you have 2x volunteer minutes.
Since the total volunteer minutes of the 3 of you is 5040,then we have;
2x + x + x = 5040
4x = 5040
x = 5040/4
x = 1260
Since you have 2x volunteer minutes, then you have: 2 × 1260 = 2520 volunteer minutes
According to the Woodlawn Park Zoo in Seattle, Washington, the average height
in inches (h) of a baby giraffe during its first week can be described by the
equation h = 72 + 1.2d, where d is the number of days since it was born.
Which statement explains the meaning of the 1.2 in the equation?
Answer:
the giraffe grows 1.2 inches a day
Step-by-step explanation:
The temperature of a liquid in an experiment starts at 0 degrees Celsius. The experiment calls for the temperature of the liquid to change at a rate of –0.6 degree Celsius per minute. How long will it take for the liquid to reach –10.5 degrees Celsius? 2Points Remember to divide to find the minutes.
Answer:
It will take 17.5 minutes or 17 minutes and 30 seconds to reach -10.5 degrees celsius
Step-by-step explanation:
Starting at 0 degrees, we have a change of -0.6 degree celsius per minute
We want to know how long it will take for the liquid to reach - 10.5 degrees Celsius
The total difference between the two is;
-10.5 - 0 = -10.5
The change per minute is -0.6
So the number of minutes it will take will be;
-10.5/-0.6 = 17.5 minutes
সৌরজগতের গ্রহ গুলোর চিএসহ বননা দাও
Answer:
সৌরজগতে গ্রহগুলির ক্রম, সূর্যের নিকটতম সূচনা এবং বাইরের দিকে কাজ করা নিম্নরূপ: বুধ, শুক্র, পৃথিবী, মঙ্গল, বৃহস্পতি, শনি, ইউরেনস, নেপচুন এবং তারপরে সম্ভাব্য প্ল্যানেট নাইন। আপনি যদি প্লুটোকে অন্তর্ভুক্ত করার জন্য জেদ করেন তবে তা নেপচুনের পরে তালিকায় আসবে
আশাকরি এটা সাহায্য করবে
Please Help me find the answer by doing it step by step! PLEASE!!! QUICK!!! THIS IS URGENT!
-3[2- (y - 5] -4 [3 (y + 1) - (6 - y) (-2)]
Answer:
Standard form:
93−45y
Factored form:
3(31−15y)
No entendi lpM explicen
A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.
It is unlikely the point is in region A.
It is likely the point is in region C.
It is likely the point is in region G.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
a,d,e
Step-by-step explanation:
I took the question
Answer:
A D E
Step-by-step explanation: