Answers
Answer:
[tex]\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]
Step-by-step explanation:
[tex]3x^2-6xy+y^2=2x-y\\\mathrm{Treat\:}y\mathrm{\:as\:}y\left(x\right)\\\mathrm{Differentiate\:both\:sides\:of\:the\:equation\:with\:respect\:to\:}x\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=\frac{d}{dx}\left(2x-y\right)\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(2x-y\right)=2-\frac{d}{dx}\left(y\right)\\6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)=2-\frac{d}{dx}\left(y\right)[/tex]
[tex]\mathrm{For\:convenience,\:write\:}\frac{d}{dx}\left(y\right)\mathrm{\:as\:}y^{'\:}\\6x-6\left(y+xy^{'\:}\right)+2yy^{'\:}=2-y^{'\:}\\\mathrm{Isolate}\:y^{'\:}:\quad y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\\mathrm{Write}\:y^{'\:}\:\mathrm{as}\:\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]
Related Questions
20 POINTS AND BRAINLIEST !! PLEASE ANSWER THIS QUESTION !!
Answers
Answer: A
Step-by-step explanation:
it intercepts y at -3 and you can find slope using rise/run
Plzzzz help I’ll give Brainiest to whoever gives me the answer!!!!!
Answers
Answer:hello
Because negative can't go under the radical 2
For example we can't find two number that multiplication of them be negative. 2×2=4,-2×-2=4.
I'll hope that l explane for you weel
Step-by-step explanation:
N/5 = -1/5 what is n?
Answers
Answer:
n = -1
Step-by-step explanation:
→The fraction [tex]\frac{n}{5}[/tex] is really just [tex]\frac{1}{5}n[/tex]:
[tex]\frac{1}{5}n = \frac{-1}{5}[/tex]
→To get n by itself, you must multiply both sides by the reciprocal of [tex]\frac{1}{5}[/tex], which is 5:
5 · [tex]\frac{1}{5}n = \frac{-1}{5}[/tex] · 5
n = -1
Find the value of x.
need the answer today please.
Thank you.
Answers
Answer:
x =8.34654305
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 33 = 7/x
Switching places with the x and the 33
x = 7/ cos 33
x =8.34654305
Answer:
↓ Look below ↓
Step-by-step explanation:
You are given the adjacent side and need to find the hypotenuse. You can use cos to figure this out.
[tex]cos33 = \frac{7}{x}[/tex]
→To get rid of the x in the denominator, multiply everything by x:
[tex]x(cos33 = \frac{7}{x})[/tex]
[tex]xcos33 = 7[/tex]
→Divide both sides by cos33:
x = 8.346
→If it is round to nearest tenth:
x = 8.3
→If it is round to nearest hundredth:
x = 8.35
The sum of the measures of the exterior angles of an n-gon, one at each vertex, is ____
Answers
Answer:
The question is asking to complete the passage about the sum of angle of the exterior angles of an n-gon, one at each vertex, and i would say that it should be 360 degree.
Step-by-step explanation:
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answers
Answer:
1. Subtract 2 from both sides.
2. Multiply both sides by 2.
3. Take the square root of both sides.
4. Subtract 5 from both sides.
Answer:
Subtract 2 from both sides
Multiply both sides by 2
Take the square root of both sides
Subtract 5 from both sides
Step-by-step explanation:
Please refer to the picture attached.
emergency!!!! Find the quotient and remainder when x^4 is divided by x^2 +2x -1
Answers
Answer:
quotient x² - 2x + 5
remainder (-12x+5)
Step-by-step explanation:
x² -2x +5
x² + 2x - 1 | x^4 + 0*x³ + 0*x² + 0x + 0
|-(x^4 + 2x³ - x²)
- 2x³ +x² + 0x
-(-2x³ - 4x² + 2x)
5x² - 2x + 0
-( 5x² +10x -5)
-12x + 5
x² - 2x + 5 + (-12x + 5)/(x² + 2x - 1)
The Quotient is [tex]x^{2} -2x+5[/tex] and The remainder is -12x +5
How to Solve this Problem?
This problem can be solved by following steps
According to the statement ,when x^4 is divided by x^2 +2x -1It is not possible to divide only x^4 We need more terms to make the division possible. We will add more terms such as 0*x^3+0x^2+0x+0Now it is Possible to divide by x^2 +2x -1The Quotient we get is [tex]x^{2} -2x+5[/tex]The Remainder we get is -12x+5Learn More about Quotient and remainder here
https://brainly.com/question/18191517
#SPJ2
a cube aquarium without alid its internal edge length is 20 cm if the aquarium is made of glass where the thickness of glass is 0.75 cm find the volume of glass
Answers
Answer:
Multiply 20 x 0.75 = 15
Step-by-step explanation:
In the decimal 2.1738 the 7 is in the _____place
Answers
Answer:
hundreth's place
Step-by-step explanation:
see attached for explanation
A cell phone company charges $60 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?
Answers
Answer:[tex]c=60+0.05d[/tex]
Step-by-step explanation:
Given
Company charges [tex]\$60[/tex] for [tex]1\ GB[/tex] data
and charges [tex]\$0.05/MB[/tex]
If c is the total cost and d represent no of additional megabyte then
Cost is given by the sum of fixed price + additional data charge
[tex]c=60+0.05\times d[/tex]
Therefore final charge is given by
[tex]c=60+0.05d[/tex]
The body and head of a fox measure 19 ⅘ inches, and its tail measures 10 ⅘ inches. Whatis the total length of the fox?
Answers
Answer:
The total length of the fox is 30 3/5 inches
Step-by-step explanation:
Here, we are interested in calculating the total length of a fox, given the length of its head and body and also the length of its tail.
Mathematically, the total length of the fox = length of its head and body + length of its tail
length of the head and body = 19 4/5
length of its tail = 10 4/5
Plugging these values into the equation, we have;
19 4/5 + 10 4/5
99/5 + 54/5 = (99 + 54)/5 = 153/5 = 30 3/5 inches
Please help me with my math question!!!
Answers
Answer:
No because it doesn't show the angle?
Step-by-step explanation:
A boy cycles at an average speed of 22 km/h . How long does it take him to travel 55 km ?
Answers
Answer:
Step-by-step explanation:
that is 55/22 = 2.5 hrs
Answer: .two and a half hours.
Step-by-step explanation:
22/1 = 55/x
22x=55
X=2.5
A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B = A customer buys a drink.
What does P(A or B) = 0.45 mean in terms of this problem?
A. The probability that a customer buys a taco, a drink, or both is
45%.
B. Buying a taco and buying a drink are mutually exclusive events.
C. The probability that a customer buys neither a taco nor a drink is
45%.
D. The probability that a customer buys both a taco and a drink is
45%.
Answers
Answer:
The probability that a customer buys a taco, a drink, or both is 45%.
Step-by-step explanation:
apeeex
P(A or B) = 0.45 mean in terms of this problem will be the probability that a customer buys a taco, a drink, or both is 45%. Then the correct option is A.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
The value of the probability of an event must lie between the interval of [0, 1].
A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B = A customer buys a drink
P(A or B) = 0.45 mean in terms of this problem will be the probability that a customer buys a taco, a drink, or both is 45%. Then the correct option is A.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ5
find an expression for the nth term of the sequence 1,5,11,19,29
Answers
Answer:
Step-by-step explanation:
1,5,11,19,29
the series of numbers :
A 2-A 1 = 5–1=4
A 3-A 2 = 11–5=6
A 4-A 3 =19–11=8 the third term is 8
A 5-A 4= 29-19= 10 the forth term is 10
nth term is 4+(n-1)2.
Share $50 among Tom, Larry and Jim in the ratio 4:7:9. How much money does JIM get?
Answers
Answer:
$22.5
Step-by-step explanation:
4x+7x+9x=5020x=50x=2.5Jim gets 9*2.5= $22.5
$50/20=2.5
2.5*4=10
2.5*7=17.5
2.5*9=22.5
Jim gets $22.50
Eight swimmers participate in a race in how many ways can the swimmers finish in first second and third place an it be answered using combinations or permutations
Answers
Answer:
336
Step-by-step explanation:
To define whether we use permutations or combinations we must define whether or not the order in which we arrange the results matters. If the order matters we use permutations and if the order doesn't matter we use combinations.
In this case, since we are talking about the first places in a competition, order definitely does matter, so we use permutations. Also in permutations it must be indicated if repetition is allowed, in this case not because the same person cannot be in more than one place.
We use the following formula:
[tex]P=\frac{n!}{(n-r)!}[/tex]
where in this case n is the numer of swimmers and r is the number of places we are considering (1st 2nd and 3rd), which is 3 places.
n = 8
and
r = 3
thus the number of permutations is given bt:
[tex]P=\frac{8!}{(8-3)!}\\ \\P=\frac{8!}{5!} \\\\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}\\ \\P=8*7*6\\P=336[/tex]
the answer is that there are 336 ways in which the swimmers can finish in first second and third place
EXERCISE
A ball is drawn randomly from a bag containing 8 red, 4 blue and 2 green identical balls. Find the probability that the ball drawn is not red.
What is the probability that a number chosen at random from the integers between 1 and 10 inclusive is either a prime or a multiple of 3?
A bag contains four red balls, five blue balls and six green balls. Three balls are drawn from the bag at random without replacement. What is the probability that all three are:
The same colour
Different colour
Answers
Answer:
1)The probability that the ball drawn is not red is 6 /14
2)Probability of getting either a prime or a multiple of 3 is 7/10
3)Probability of drawing three balls without replacement such that all three are Same colour is 0.0747
Probability of drawing three balls without replacement such that all three are different colour is 0.5
Step-by-step explanation:
1) A ball is drawn randomly from a bag containing 8 red, 4 blue and 2 green identical balls. Find the probability that the ball drawn is not red.
No. of red balls = 8
No. of blue balls = 4
No. of green balls = 2
Total no. of balls = 8+4+2=14
P(Getting red bal)=[tex]\frac{8}{14}[/tex]
P( ball drawn is not red) = [tex]1 - \frac{8}{14}=\frac{6}{14}[/tex]
So,the probability that the ball drawn is not red is 6 /14
2)What is the probability that a number chosen at random from the integers between 1 and 10 inclusive is either a prime or a multiple of 3?
Numbers : 1 ,2,3,4,5,6,7,8,9,10
Prime numbers: 2,3,5,7 = 4
Multiple of 3 = 3,6,9 =3
So, Probability of getting prime number =[tex]\frac{4}{10}[/tex]
Probability of getting multiple of 3 =[tex]\frac{3}{10}[/tex]
So, Probability of getting either a prime or a multiple of 3=[tex]\frac{4}{10}+\frac{3}{10}=\frac{7}{10}[/tex]
Hence Probability of getting either a prime or a multiple of 3 is 7/10
3)A bag contains four red balls, five blue balls and six green balls. Three balls are drawn from the bag at random without replacement. What is the probability that all three are:
The same colour
Different colour
No. of red balls = 4
No. of blue balls = 5
No. of green balls = 6
Total balls = 15
Case 1 :all three are Same colour
So, probability of drawing three balls without replacement such that all three are Same colour = [tex]\frac{4}{15} \times \frac{3}{14} \times \frac{2}{13}+\frac{5}{15} \times \frac{4}{14} \times \frac{3}{13}+\frac{6}{15} \times \frac{5}{14} \times \frac{4}{13}=0.0747[/tex]
So, probability of drawing three balls without replacement such that all three are different colour =[tex]\frac{4}{10} \times \frac{5}{9} \times \frac{6}{8}+\frac{5}{10} \times \frac{4}{9} \times \frac{6}{8}+\frac{6}{10} \times \frac{5}{9} \times \frac{4}{8}=0.5[/tex]
So,probability of drawing three balls without replacement such that all three are Same colour is 0.0747
So,probability of drawing three balls without replacement such that all three are different colour is 0.5
show that x^2-8x+20 can be written in the form (x-a)^2+a. Where a is an integer
Answers
Answer:
(x - 4)^2 + 4
Step-by-step explanation:
x^2 - 8x + 20
= x^2 - 2*4*x + 16 + 4
= x^2 - 2*4*x + 4^2 + 4
= (x - 4)^2 + 4
= (x - a)^2 + a, with a = 4
Hope this helps!
PLEASE HELP 10 Points!!!!
Answers
basketball = b = 9
volleyball = c = 7
a + b + c = 21
2a + c = 17
2b + c = 25
2a + b + c = 26
Seeing that....
a + b + c = 21
2a + b + c = 26
We can deduce that a = 5
2a + c = 17
2(5) + c = 17
10 + c = 17
Subtract 10 from both sides
c = 7
2a + b + c = 26
2(5) + b + 7 = 26
10 + b + 7 = 26
17 + b = 26
Subtract 17 from both sides
b = 9
Hope this helped!
Which statements are true about triangle ABC and it’s translated image, A’ B’ C’
Answers
Answer:
The last one is the answer
Step-by-step explanation:
3x/3=? I WILL MARK U BRAINLIST!!!!!
Answers
Answer:
3 x 3 =9
Step-by-step explanation:
9
Answer: x
Step-by-step explanation: When dividing 3x by 3, the 3's will cancel each other out simply leaving us with our variable, x.
Solve for x. Enter the solutions from least to greatest.
x2 – X – 12 = 0
Answers
Answer:
[tex]x=-3,4[/tex]
Step-by-step explanation:
Factorise in order to reveal factors.
[tex]x^2-x-12=0\\(x-4)(x+3)=0[/tex]
what is 3.9/5.9 reduced to its lowest form
Answers
Answer:
About 0.66 or in fraction form 2/3
Step-by-step explanation:
You divide 3.9 by 5.9
Answer:
39/59
Step-by-step explanation:
3.9 / 5.9
Multiply the top and bottom by 10 to clear the decimals
3.9*10 / 5.9 * 10
39/59
Since 59 is prime, this is the simplest form
The weather forecaster says that there is an 80% chance of rain today. Which statement describes the likelihood that it will rain today?
Answers
Use the given measurements on the triangle to write the following trig ratios and answer the question that follows Please help!
Answers
Answer:
1. sin P = 20/29
cos P = 21/29
tan P = 20/21
sin Q = 21/29
cos Q = 20/29
tan Q = 21/20
2. We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other
Step-by-step explanation:
For Part 1
With knowledge of SOH CAH TOA
Sin = Opp/Hyp
Cos = Adj/Hyp
Tan = Opp/Adj
So:
sin P = 20/29
cos P = 21/29
tan P = 20/21
sin Q = 21/29
cos Q = 20/29
tan Q = 21/20
For Part 2
We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other
A group of friends were working on a student film. They spent $270 on props which was 45% of their total budget. What was the total budget for their student film?
Answers
Answer:
The total budget for their student film is $600
Step-by-step explanation:
Here, we want to calculate the total budget of a group of students on a movie given the amount the spent on props.
Since we do not know this amount, we can call it x
Now, 45% of this x was the amount spent on props and it is equal to $270
Mathematically;
45/100 * x = 270
45x = 100 * 270
x = (100 * 270)/45
x = 600
What is the length of the hypotenuse of the triangle?
Answers
Answer:
26 ft
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
10^2+24^2 = c^2
100 +576 = c^2
676 = c^2
Take the square root of each side
sqrt(676) = sqrt(c^2)
26 = c
Answer:
26 ft
Step-by-step explanation:
Pythagoras theorem
a^2+b^2=c^2
10^2+24^2=676
square root of 676= 26
What is the general form of the equation of the line shown?
Answers
Answer:
x - y = 0
Step-by-step explanation:
The given line is y = x.
We could re-write this as x - y = 0, which is in general form.
Kill’em Dead Pest Control needs to set out 5 roach motels per square yard. In a rectangular studio apartment that’s 7 yards by 4 yards wide, about how many roach motels will need to be set out?
Answers
Answer:
113 moteis
Step-by-step explanation:
A = 7 x 4 = 28 yards^2
1 yard - 0,9 m
1 yard^2 - 0,81 m^2
28 yards^2 - A
A = 28 x 0,81 = 22,68m^2
22,68 x 5 = 113,4
113 moteis
Answer:
140
Step-by-step explanation:
because it is
