A level differentiation question. Mainly stuck on the 4-x/x part. Help would be appreciated.
Answers
Answer:
see explanation
Step-by-step explanation:
Differentiate [tex]\frac{4-x}{x}[/tex] using the quotient rule, given
y = [tex]\frac{f(x)}{g(x)}[/tex] , then
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{g(x)f'(x)-f(x)g'(x)}{g(x)^2}[/tex]
Here f(x) = 4 - x ⇒ f'(x) = - 1
g(x) = x ⇒ g'(x) = 1 , thus
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{-x-(4-x)}{x^2}[/tex] = [tex]\frac{-x-4+x}{x^2}[/tex] = - [tex]\frac{4}{x^2}[/tex]
-----------------------------------------
Given
y = 3x² + [tex]\frac{4-x}{x}[/tex], then
[tex]\frac{dy}{dx}[/tex] = 6x - [tex]\frac{4}{x^2}[/tex] ← evaluate for x = 2
[tex]\frac{dy}{dx}[/tex] = 6(2) - [tex]\frac{4}{4}[/tex] = 12 - 1 = 11 ← as required
Let me know if you require assistance on (b) and (c)
Related Questions
Please help :3 I really need help with this
Answers
Answer:
0
Step-by-step explanation:
It would not change at all. Mode is the most often occuring number, and adding one 9 will not change the fact that there are threes 6s. Therefore, the mode will stay 6
What is the next term of the geometric sequence?
40 20 10
27' 9'3?
Answers
Answer:
40, 20, 10, 5, . . .
27, 9, 3, 1, . . .
Explanation:
For the first one, the previous term is divided by 2 to get the next term. For the second one, the previous term is divided by 3 to get the next term.
which sign makes the statement true? pls help!
Answers
The correct symbol for the inequality is,
⇒ 59/81 > 23/56
We have to given that,
An expression is,
⇒ 59/81 Ο 23/56
Now, We can simplify as,
⇒ 59/81 = 0.73
⇒ 23/56 = 0.46
Hence, We get;
⇒ 0.73 > 0.46
⇒ 59/81 > 23/56
Thus, The correct symbol for the inequality is,
⇒ 59/81 > 23/56
Learn more about the inequality visit:
https://brainly.com/question/25944814
#SPJ2
What are the coordinates of the Vertex of the parabola whose equation is y=x^2-2x-4?
Answers
Answer:
(1, -5)
Step-by-step explanation:
I need quick help with #7 for geometry
Answers
3rd one Beacuse you have to multiply hshshshshshshehhshenshehehehehehej
WILL MARK BRAINILEST
Find the missing angle:
Answers
Answer:
The missing number i think is 85
Step-by-step explanation:
I think it is 85 because 100 - 75 is 25 so i subtracted 110 by 25 and got 85
Answer:
Step-by-step explanation:
I don't say you have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
7 watermelons cost $8.96.Which equation would help determine the cost of the 5 watermelons? Into two fractions with a expontnet
This is very important please help
Answers
Answer:
hola CTM
Step-by-step explanation:
Select the correct answer,
Identify the system of linear equations from the tables of values given below.
Answers
Answer:c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I took the test
Pls help w that one I need to find the area and perimeter
Answers
Answer:
A= Square is side time side
P= 4a
Step-by-step explanation:
Use a fraction calculator and multiply 2 2/3 * 2 2/3
Which statement is equivalent to multiplying a number by 10^3
Answers
Answer:
adding 3 zeros or moving the decimal point 3 spaces to the right.
Step-by-step explanation:
Determine the slope of the line passing through the points (3, 6) and ( – 3, – 6).
Answers
Answer:
idk lol
Step-by-step explanation:
dsdasdasadsadasdsd
The ratio of the volumes of two spheres is 64/125 what is the ratio of their sides?
Answers
Answer:
12:25
Step-by-step explanation:
Explanation
Write the following expression using a single exponent.
3-5 × 36
A.
3-30
B.
31
C.
30
D.
3-11
Answers
Answer:
D
Step-by-step explanation:
i took the test and got it right
The graph on the coordinate grid represents the altitude of a plane during a flight. A graph.Short description, A graph.,Long description, The graph shows the x-axis is labeled Time in minutes, and the y-axis is labeled Altitude in feet. The line increases steadily from the origin to 30 minutes, 35,000 feet. The line remains at 35,000 feet until 90 minutes, and then decreases steadily from 90 minutes, 35,000 feet to 100 minutes, 0 feet. Question At which approximate rate, in feet per minute, did the plane climb to the cruising altitude of 35,000 feet? Answer options with 5 options A. 30 feet per minute D. 2,000 feet per minute B. 117 feet per minute E. 2,333 feet per minute C. 1,167 feet per minute
Answers
Answer:
C. 1,167 feet per minute
Step-by-step explanation:
We want to find the slope of the first part of the graph, which was an increasing line from the origin (0, 0) to 30 minutes, 35000 feet. This point that represents 30 min and 35000 ft can be written as the ordered pair:
(30, 35000)
Slope is change in y divided by change in x. Here our two points are (0, 0) and (30, 35000). The change in y is the difference in y-coordinates:
35000 - 0 = 35000
The change in x is the difference in x-coordinates:
30 - 0 = 30
Now divide these two:
35000 ÷ 30 = 1166.67 ≈ 1167 feet per min
The answer is thus C.
Answer:
C
Step-by-step explanation:
Rate of climbing is the slope of the altitude-time graph
slope: (35000-0)/(30-0)
35000/30
1166 ⅔
Approximately, 1167 feet per minute
Multiply.
(7a-1)(x^2+2x-5)
Answers
Answer:
7ax2+14ax−x2−35a−2x+5
Step-by-step explanation:
(7a+−1)(x2+2x+−5)
=(7a)(x2)+(7a)(2x)+(7a)(−5)+(−1)(x2)+(−1)(2x)+(−1)(−5)
=7ax2+14ax−35a−x2−2x+5
=7ax2+14ax−x2−35a−2x+5
Answer:
Step-by-step explanation:
(7a - 1) (x² +2x -5) =7a*((x² +2x -5) + (-1)*(x² +2x -5)
= 7a*x² + 7a*2x + 7*(-5) +(-1)*x² +(-1)*2x + -5*-1
= 7ax² + 14ax - 35 - x² -2x + 5
= 7ax² - x² + 14ax - 2x -30
I need help ! I need to find the axis of symmetry, the vertex, the x-intercept(s), the y-intercept(s) and the concavity!!!!!
Answers
Answer:
Step-by-step explanation:
From the figure attached,
A parabola has been graphed.
Vertex of this parabola → (-1, -4) (lowest point)
Axis of symmetry → x = -1 (Parabola is symmetric about the vertical line x = -1 parallel to the y-axis)
x- intercepts (points of intersection of the parabola and x-axis) → (-1, 0) and (1, 0)
y- intercepts (point of intersection of the parabola and y-axis) → (0, -3)
Concavity of the parabola → Concave UP
3. Juanita wants to buy a computer. She needs to earn at least 400 dollars. If she makes 9
dollars an hour and has already saved 40 dollars, how many hours does she need to
work?
Answers
Answer:
40 hours
Step-by-step explanation:
9x + 40 = 400 (with x being how many hours she has worked). We get rid of the 40 on both sides by subtraction. Our new equation is 9x = 360. Now we divide 9 on both sides and we learn that x = 40.
juan has a piano recital next month.last week he practiced for 24 hours in the morning and 22 hours in the afternoon.each practice is 6 hours long.how many full practice sessions did juan complete?
Answers
Answer: 7 sessions
Step-by-step explanation:
Hi, to answer this question, first we have to add the time Juan spent practicing in the afternoon and the morning:
24 +22 = 46 hours
Finally, we have to divide the total by the duration of each session (6 hours)
46 /6 = 7.6 = 7 full sessions (since 0.6 is not a full session)
Feel free to ask for more if needed or if you did not understand something.
The length of a rectangle is 3 more than the width. Find the length of the rectangle
if the perimeter is 98 in.
24.5 in
47.5 in
23 in.
26 in.
Answers
Answer:
26 in.
Step-by-step explanation:
Since you already have choices, you can simply guess and check which answer is correct:
26-3=23
(26×2)+(23×2)=98
The volume of the sphere is
500
I cubic units.
3
What is the value of x?
4 units
5 units
8 units
. 10 units
Answers
Answer:5 Units
Step-by-step explanation: Just the answer
Evaluate - 2 + 7+ (-4).
Answers
Answer:
1
Step-by-step explanation:
You start by adding -2 and 7.
Because the 2 is negative, it's like subtracting from 7.
This is how you get 5 from -2 +7.
Next, you have to add 5 and -4.
It's like subtracting again, so you get 1.
Help looks like i forgot to read a ruler
Answers
Answer:
4 1/8
Step-by-step explanation:
It is in between the four and 4 1/4 mark, so it is 4 1/8 :)
Answer:
4 1/8
Step-by-step explanation:
I checked it over. My god. Can’t believe I could not figure it out. This is 2nd grade math. No 3rd
Com
Is Delia's
her mis
25. Whic
the f
27. Delia knocked over 7 out of 10 pins in the
first frame of bowling. The next 9 frames,
she knocked over a total of 67 more pins
of the 100 possible pins in the game. Delia
wanted to find the fraction that represented
the number of pins she knocked over in the
game. Her work is shown below.
0
7
10
4
67
100
70 67
100 100
137
100
pins
648
Topic 12 Lesson 12-4
Answers
Hi Hello, can I please have some help on this question and please could you explain too???
P.S this is all my points ;)
Answers
Answer:
B
Step-by-step explanation:
A circle of red roses is planted in Lowell's central park. The circle has a radius of 1 meter.
What is the circle's circumference?
Use 3.14 for .
Answers
Answer:
The circle's circumference is 6.28 m.
Step-by-step explanation:
We have,
The circle has a radius of 1 meter.
It is required to find the circumference of the circle. The formula of the circumference of circle is given by :
[tex]C=2\pi r[/tex]
r is radius
[tex]C=2\times 3.14\times 1\\\\C=6.28\ m[/tex]
So, the circle's circumference is 6.28 m.
hi got a question!
.A Container holds 400 litres of water when a quarter full. Calculate the height of the container if its base area is 4 m^2.
BE QUICK PLEASEEE!!!
Answers
Answer:
The container's base is 2 by 2 meters
If it contains 400 liters, its height must be 100 cm
2 x 2 x .10 meters = .4 cubic meters = 400 liters
Step-by-step explanation:
Could someone help me with this? That would be great.
Answers
Answer:
23x - 11/6
Step-by-step explanation:
1/6(36x - 11)+17x
Distribute
1/6*36x -1/6*11 +17x
6x -11/6 +17x
Combine like terms
23x - 11/6
Fernando buys milk to make milkshakes for all his friends. He buys 1 quart of milk and one eighth
gallon of milk. How many cups of milk does he buy? Worth 10 Pts
Answers
Answer:
Fernando buys 6 cups of milk to make milkshakes for all his friends
Step-by-step explanation:
Fernando buys 1 quart of milk and one eighth gallon of milk.
1 quart = 4 cups
1 gallon = 16 cups
So, [tex]\frac{1}{8} gallons = \frac{1}{8} \times 16 = 2 cups[/tex]
So, 1 quart of milk and one eighth gallon of milk = 4 cups + 2 cups = 6 cups
So, He buys 1 quart of milk and one eighth gallon of milk i.e. 6 cups
Hence Fernando buys 6 cups of milk to make milkshakes for all his friends
3.
(07.02 LC)
How many solutions does the equation - 2y + 2y + 3 = 3 have? (1 point)
One
None
Infinitely many
Three
Answers
Answer:
Step-by-step explanation:
One
Please answer CORRECTLY !!!! WILL MARK BRAINLIEST !!!!!!!!!
Answers
Answer:
[tex]g(n) = \frac{11}{3} + \frac{5n}{3}[/tex] or g(n) = (11/3) + (5/3)n
Step-by-step explanation:
Equation: [tex]3m - 5n = 11[/tex]
To write a formula for g(n) in terms of n, we have to get m seperately.
[tex]3m - 5n = 11[/tex], add 5n in both sides
[tex]3m - 5n + 5n = 11 + 5n[/tex], now add
[tex]3m = 11 + 5n[/tex], now divide both sides by 3
[tex]\frac{3m}{3} = \frac{11 + 5n}{3}[/tex]
[tex]m = \frac{11}{3} + \frac{5n}{3}[/tex]
Now, replace m with g(n)
[tex]g(n) = m[/tex]
[tex]g(n) = \frac{11}{3} + \frac{5n}{3}[/tex]