Given:
The given function is:
[tex]\dfrac{(x^3+1)(x-2)}{x^2}[/tex]
To find:
The differentiation of the given function.
Solution:
Consider the given function,
[tex]y=\dfrac{(x^3+1)(x-2)}{x^2}[/tex]
It can be written as:
[tex]y=\dfrac{(x^3)(x)+(x^3)(-2)+(1)(x)+(1)(-2)}{x^2}[/tex]
[tex]y=\dfrac{x^4-2x^3+x-2}{x^2}[/tex]
[tex]y=\dfrac{x^4}{x^2}-\dfrac{2x^3}{x^2}+\dfrac{x}{x^2}-\dfrac{2}{x^2}[/tex]
[tex]y=x^2-2x+\dfrac{1}{x}-\dfrac{2}{x^2}[/tex]
Differentiate with respect to x.
[tex]y'=\dfrac{d}{dx}(x^2)-\dfrac{d}{dx}(2x)+\dfrac{d}{dx}(x^{-1})-\dfrac{d}{dx}\2(x^{-2})[/tex]
[tex]y'=2x-2(1)+(-x^{-2})-2(-2x^{-3})[/tex]
[tex]y'=2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex]
Therefore, the differentiation of the given function is [tex]2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex].
9.4 ÷ 20
SHEEEEEEEEEEEEEEEESH
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]9.4 \div 20 \\ = 0.47[/tex]
how do I do this? I'm confused.
Step-by-step explanation:
[tex]\huge\mathcal\blue{here's \: your \: solution} \\ \\ x = 2y - 14 \: \: \: (given) \\ \\ equation \: = 5x - 7y = - 43 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 5(2y - 14) - 7y = - 43 \\ \\ 10y - 70 - 7y = - 43 \\ \\ 3y - 70 = - 43 \\ \\ 3y = + 70 - 43 \\ \\ 3y = 27 \\ \\ y = 27 \div 3 \\ \\ y = 9 \\ \\ now \: put \: the \: value \: of \: y \: in \: equation \\ \\ x = (9 \times 2) - 14 \\ \\ x = 18 - 14 \\ \\ x = 4 \\ \\ \huge\mathfrak\red{hope \: it \: helps..}[/tex]
IF YOU ANSWER THESE TWO I'LL GIVE BRAINLIEST (if you only answer one no brainliest)
Answer:
The first question provided (question 11)
The answer is $118.00
The second question provided (question 12)
The answer is 20 seconds
Step-by-step explanation:
The first question provided (question 11)
The equation 5a + 3c is provided to determine the cost of a catering event, where a is the number of adults and c is the number of children.
It is stated that there are 17 adults and 11 children attending an event.
You can substitute in the 17 adults in place of a and the 11 children in place of c.
This will leave you with 5(17) + 3(11).
If you simplify you will get 85 + 33, which is equal to 118
Therefore, the answer is $118.00.
The second question provided (question 12)
The equation s = 5w is provided to determine how far behind a clock is after a certain amount of time, where s is seconds behind and w is the number of weeks sice the clock was last set.
You are given the clock was set 4 weeks ago.
You can subsitute the 4 weeks into the equation in place of variable w.
This leaves you with s = 5(4).
Simplifying this further, you will get s = 20.
Therefore, the clock is 20 seconds behind.
2-3 (8.5A) Hikaru is going to make x pies, he will put 3 pounds of berries in each one, which equation can be used to find b, the total number of pounds
of berries he will put in the pies
A
C b=x+3
5
8
b=x+3
35
b = x - 3
5
B
D
5
b = 3
Answer:
D
Step-by-step explanation:
the answer is d because it's the 3 and 5/8ths per pie this it is multiplied by x.
The zoo charges $4 admission fee
along with a $2 charge for each
exhibit you visit. what is the initial value, rate of change, and table values
Answer:
Intial Value; $4 (charged)
Rate of change: $2 every exhibit visited
Admission: $4
1 exhibit visited: $6
2 exhibits visited: $8
3 exhibits visited: $10
4 exhibits visited: $12
5 exhibits visited: $14
6 exhibits visited: $16
7 exhibits visited: $18
8 exhibits visited: $20
etc.
Step-by-step explanation:
4+2x = C
C= Cost
X = amount of exhibits visited
To find the total cost.
Hi, thank you for helping people, have a good day/evening/night.
Answer:
thx you too
Step-by-step explanation:
I will mark you brainliest if correct
Answer:
i think its 8.2
Step-by-step explanation:
What is sec 0 when cot 0 = -4V2? 0 (1,0) [?] [ ] Rationalize the denominator if necessary. sec 0 =
Answer:
[tex]Sec~ 0=\frac{\sqrt{66} }{8}[/tex]
Step-by-step explanation:
[tex]Cot~0=-4\sqrt{2}[/tex]
[tex]Sec~0=\sqrt{33}/4\sqrt{2}[/tex]
[tex]=\sqrt{33}/4\sqrt{2} *4\sqrt{2} /4\sqrt{2}[/tex]
[tex]=4\sqrt{66} /32[/tex]
[tex]= \sqrt{66}/8[/tex]
᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄
hope it helps...
have a great day!!!
Nadia compares the weights, in grams, of some apples and oranges she find the median abs interquartile range of the weights.
Answer:
Apple
Orange
Step-by-step explanation:
Apple has the greater median with a median value of 150 which is more than that of orange at 130
The sample with the greater variability is the orange sample as the interquartile range value of 11 is greater Than 8 for Apple.
Yes it is possible, because of the greater variation on weight shown by the sample of oranges, then it could be possible.
Find the lines of symmetry for each shape. Select all that apply.
Answer:
It is T and R
Step-by-step explanation:
evauate the problem 5y=30
Answer:
y = 6
Step-by-step explanation:
5y = 30
5y ÷ 5 = 30 ÷ 5
y = 6
Help asap please I really need it!
Answer:
[tex]volume = \frac{4}{3} \pi r^3\\\\Radius = 2 , volume = \frac{32\pi }{3}cm^3 \\\\Radius = 3, volume = 36\pi cm^3 \\\\Radius = 4, volume = \frac{256\pi }{3} cm^3\\\\Radius= 6, volume = 288\pi cm^3[/tex]
solve for the value of k
Answer:
k = 42
Step-by-step explanation:
This is a complementary angle, meaning that the angles formed equal 90 degrees. We know it is complementary because the angle is shown was a tiny square, a sign that it is 90 degrees. Thus, the two angles (k+1) and 47 added together must equal 90. So, we can write an equation:
(k+1) + 47 = 90
k + 1 = 43
k = 42.
Please I need help!!!!
Answer:
(9-7)
Step-by-step explanation:
1st
Vertex
we have
f(x)=x²-18x+88
let
y=x²-18x+88
comparing above equation with ax²+bx+c
we get
a=1
b=-18
c=88
now
vertex(x,y)=(-b/2a,f(-b/2a))
x=(18/2×1)=9
y=f(9)=9²-18×9+88=7
SO
VERTEX(X,Y)=(9,7)
Solve the equation below for x.
9(x - 5) = 4x - 5
Answer: look at the picture
Step-by-step explanation: Hope this help :D
PLS HELP i have to finish this tonight
Answer:
D.480 Ft/S
Step-by-step explanation:
um, Just ask your teacher if you don't understand:P
What is -29=9-6k-2k-14 If you don't know do not answer!!!
MUST SHOW WORK!!!
Answer:
Positive 3
Step-by-step explanation:
-29=9-6k-2k-14
-29=-5-8k
-24=-8k
k=3
What is the average of these three numbers?
4,293 4,216 4,304
how do i do this? please help with answer and explanation
Answer:
x=7
Step-by-step explanation:
180=25x+5
175=25x
7=x
Answer:
x = 7
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
We know that,
→ Sum of all angles in a line is 180°.
Forming the equation,
→ (13x + 2) + (12x + 3) = 180°
Then the value of x will be,
→ (13x + 2) + (12x + 3) = 180°
→ 13x + 2 + 12x + 3 = 180°
→ (13x + 12x) + (2 + 3) = 180°
→ 25x + 5 = 180°
→ 25x = 180 - 5
→ 25x = 175
→ x = 175/25
→ [ x = 7 ]
Hence, the value of x is 7.
Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most
Answer:
The answer is Deserea.
Step-by-step explanation:
Dont worry, this is simple :)
If you have a dozen cookies, that means you have 12 cookies!
And 1/4 of 12 is simply 12 divided by 4, which equeals 3, so Carla ate 3 cookies.
And Deserea ate ½ of the cookies, which is 12 divided by 2, which is 6! So Deserea ate 6 cookies.
6 is greater than 3. So Deserea ate more Cookies!
Hope this helps!
WILL GIVE BRAINLIEST!!!!
Solve the inequality:
n - 48 < 12
Answer: n < 60
Step-by-step explanation:
n - 48 < 12
n - 48 + 48 < 12 + 48
n < 60
The sum of two consecutive even integers is 118. Find the smaller of the two integers.
Answer:
58 + 60
Step-by-step explanation:
Even integers are always seperated by 2.
Which expression is equivalent to 9m – 36?
A. 9(m – 36)
B. 8m – 12 + m + 48
C. 9(m + 4)
D. -12m + 4 + 21m – 40
You roll a 6-sided number cube with faces numbered 1-6. What is (P)5?
Answer:
1/6
Step-by-step explanation:
Find the value ot x to the nearest tenth. х 3 9 3
Suzanne is baking cupcakes. Her cupcake recipe calls for 314 cups of flour. Suzanne has already added 235 cups of flour. How much more flour does Suzanne need to add in order to reach the amount called for in the recipe? Enter your answer as a fraction.
Answer:
179
Step-by-step explanation: First you would wanna add 70, to get to 100.
Then, add 9 to get to 314. add 70+9, that is your final answer.
TTQA: Suzanne needs to add 79 more cups of flour, to get to the anount called for in the recipe.
When a number is increased by 23. the result is 42. What equation fits this statement?
Answer:
n + 23 = 42
Step-by-step explanation:
Well, let's see.
Let's name the number "n".
So, n + 23 = 42.
And there's your answer.
Hope this helped! :)
Answer:
y + 23 = 42
y = 19
Step-by-step explanation:
y + 23 = 42
Subtract 23 from both sides:
y + 23 - 23 = 42 - 23
y = 19
You have a moving box with a volume of 16 ft3. You know that the box has a length of 2 ft and a height of 4 ft, but you don’t know the width. You need to know all three dimensions to make sure it can fit in the back of the truck. What is the width of the box?
3 ft
4 ft
2 ft
5 ft
Answer:
2ft
Step-by-step explanation:
The width of the box is 2 ft.
Here,
Volume of box = 16 ft^3
Length of box = 2 ft
Height of box = 4 ft
We have to find the width of box.
What is Volume of box?
The volume of box is defined as, the multiply of length, width, height.
Now,
Volume of box = 16 ft^3
Length of box = 2 ft
Height of box = 4 ft
Since, Volume of box = Length x width x height
Let width of box is x ft.
Volume of box = 2 * x * 4
16 = 8x
x = 2
Hence, The width of the box is 2 ft.
Learn more about the volume visit:
https://brainly.com/question/15102472
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While unwrapping his birthday present, Marcos was very careful to not tear any gift-wrap. When he was done, he laid the gift-wrapping paper flat like shown. Assuming there was no overlapping paper, what was the Total Surface Area of the box his present was in?
Pls pls help !!! I rlly need it pls
Answer:
The x-intercepts of this quadratic function would be (-1, 0) and (4, 0).
Step-by-step explanation:
The x-intercepts of a function are where the graph of the function hits the x-axis on a coordinate plane, meaning the y-coordinate of an x-intercept would always be 0. In this quadratic function's graph, the parabola crosses the x-intercept at two points: (-1, 0) and (4, 0). So that would be the correct answer.