The second differential of the function is 3/7
Given the differential function [tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]
Differentiate both sides with respect to x implicitly
[tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]
[tex]1+2y'=y"(2x-y)+y'(2-y') \\y''=\frac{1+2y'}{(2x-y)+y'(2-y') }[/tex]
Get the first derivative at the point (3, 0)
[tex]y'=\frac{2x-y}{x+2y} \\y'=\frac{2(3)-0}{0+2(3)}\\y'=\frac{6}{6} \\y'=1[/tex]
Substitute into the second derivative to have:
[tex]y''=\frac{1+2y'}{(2x-y)+y'(2-y') }\\y''=\frac{1+2(1)}{(2(3)-0)+(1)(2-(1)) }\\y''=\frac{3}{6+1} \\y''=\frac{3}{7}[/tex]
Hence the second differential of the function is 3/7
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Complete question:
If (x 2y)dy/dx=2x-y what is the value of [tex]\frac{d^2y}{dx^2}[/tex] the point (3,0)
Find the percentage change of the first quantity with reference to the second quantity: 72 units, 60 units.
Answer:
Step-by-step explanation:
120 percent,
because if you divide by 6, you will get 10:12 and if you make the 10 a 100, you multiply both by 10, so 12 x 10 = 120 which means it is 20 percent because you have to subtract 100 from the quantity. so it is 20 percent
*Or 120 percent, I dont know though*
What are the values of each variable?
Which function has the smallest y-intercept?
1) f(x) = 5x
2) x + 3y = 12
3) the line that has a slope of 2 and passes through (-1,3)
Answer:
y=2x+1
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 2. So you can right away fill in the equation for a line somewhat to read:
y=2x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(1,3). When x of the line is 1, y of the line must be 3.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,3).
So, why not plug in for x the number 1 and for y the number 3? This will allow us to solve for b for the particular line that passes through the point you gave!.
(1,3). y=mx+b or 3=2 × 1+b, or solving for b: b=3-(2)(1). b=1.
The equation of the line that passes through the point (1,3) with a slope of 2
is
y=2x+1
4 1/4-2 3/5 what is this
An Apple Watch was marked down 1/9 of the original price. If the sales price was $224 what is the original price?
Answer:
ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252
Hope This Helps!!!
Marked down 1/9 means it sold for 8/9 of the original price.
Divide the sale price by 8/9:
224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252
The original price was $252
Answer question 3 and also I will give you brainiest if you give the correct answer hurry!!!
Sam made $189 for 9 hours of work. At the same rate, how many hours would he have to work to make S147?
Answer: 7 hours
Step-by-step explanation:
$189/9 hr = $21/hr
$21/hr(x) = $147
x = 147/21
x = 7 hours
Answer:
7 hours
Step-by-step explanation:
We know 9 hours of work paid $189
to find how much Sam makes in one hour we divide the amount made by the time it took to make it
189 / 9 = 21 dollars per hour
then we know she would like to make $147 more at a rate of $21/hr so
147 / 21 = 7 hours
Examine the following table, which represents some points on a line.
x 3 0 −3 −6 −9
y −3 −2 −1 0 1
What is the equation for the line in slope-intercept form?
y=−3x−2y is equal to negative 3 x minus 2, , ,
y=3x−2y is equal to 3 x minus 2, , ,
y=−13x−2y is equal to negative 1 third x minus 2, , ,
y=−13x−6y is equal to negative 1 third x minus 6, , ,
y=−3x−6
Answer:
(c) y = −1/3x −2
Step-by-step explanation:
We notice two things in the table.
y goes up by 1 when x goes down by 3.y = -2 when x = 0 (this is the y-intercept__
The slope of the line is ...
m = (change in y)/(change in x) = +1/-3 = -1/3
Then the slope-intercept equation is ...
y = mx +b . . . . . . slope m, y-intercept b
y = -1/3x -2
Answer is C
Step-by-step explanation:
math
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
P and R
Step-by-step explanation:
P and R are similar because R is the same thing as P but 2 times bigger.
HELP PLEASE ASAP WILL GIVE BRAINLIEST
Farmer Hopt started with some alabers on her farm. She had 90 alabers after 5 months. After 16 months, she had 167 alabers. Assume a constant rate of change.
Write an equation in slope-intercept form for total alabers, y, after x months.
Answer:
[tex]y= 11x+35[/tex]
Step-by-step explanation:
Let's find the slope first. It took hopt 11 months (from 5 to 16) to grow 77 trees. It means that each month he grew [tex]\frac{77}{11} = 7[/tex] trees.
At this point you can use the point-slope form and re-write the equation or, let's think about it. It's a direct proportion. If at month 5 she has 90 trees, one month earlier she had 11 less. two month earlier, 22 less. 5 month earlier, or at x = 0 (ie, our intercept!) she had 55 less trees, or 90-55 = 35 trees
The equation is then [tex]y= 11x+35[/tex]
What is 5261.436 rounded to the nearest thousand?
Answer:
5261.436 would be the answer
Answer Asap!
<3 <3 <3
Thx
Answer:
d or b
Step-by-step explanation:
look at where the c and a are and the numbers alighn
HELP PLS ASAP PLS PLS PLS
Answer:
Step-by-step explanation:
m = 63°
n = 135°
p = 63°
r = 112.5°
s = 50°
t = 67.5°
30 65 and 75 lcm12 24 36 and 48 lcm6 8 15 and 35 lcm20 25 35 and 70 lcm18 20 24 30 lcm
During a job interview, you are asked to rate on a scale of 1 to 5 how happy you are. What type of test is the interviewer giving you
Answer:
Probably how much you want this job, if you say 0, than they are prob gonna assume you dont want to do this job, and you wont do your best. If you say 5, then you do want this job and your excited and youll give your all
Step-by-step explanation:
Questions regarding the level of excitement or happiness of one's self are called mental health or happiness test.
Happiness test are administered to evaluate personal feeling of excitement, hence, it cannot be taken on one's behalf as they are personified information. Happiness test are usually structured as "How happy are you". Hence, they are direct and usually measured using an Ordinal scale.Hence, the type of test on this context is Happiness test.
Learn more ::https://brainly.com/question/3565320
Solve for x.
Solve for x.
Solve for x.
Solve for x.
Answer:
[tex]x=90[/tex]
Step-by-step explanation:
2x - 10 and x + 80 are parallel lines and equal each other.
[tex]2x-10=x+80\\x-10=80\\x=90[/tex]
Answer:
90
Step-by-step explanation:
i had this question too
Frank pays 2.85 for a bag of 15 tangerines.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Answer:
19 cents because 2.85/15=0.19ct and now we round it up its 20cents!
Step-by-step explanation:
Hope this helps!
Answer:
The answer is $0.19
Step-by-step explanation:
Divide 2.85 by 15.
2.85 ÷ 15 = 0.19
Griff needs $46.35 more to buy a video game that costs $75.00, how much money does he already have?
I NEED THE ANSWR ASAP: Write the number as a power with a base of 5.
125^3
Answer:
5^9
Step-by-step explanation:
I had this question before.
Please help me will give points
Answer:
[tex]6 + 6 < > 7[/tex]
yk maths pooo
Find the length of the third side. If necessary, write in simplest radical form.
Step-by-step explanation
I hate math sm I can’t understand any of this even though its probably so simply
9.2 less than 3 times a number is the same as 2114.What is the number?
Answer:
707.7
Step-by-step explanation:
3x-9.2 = 2114
2114+9.2 = 2123.2
3x = 2123.2
x = 707.7
Answer:
10.15
Step-by-step explanation:
3x-9.2 = 21.25
3x = 30.45
x = 10.15
Which of the following lines has a negative slope?
Is it Red
Is it Black
Is it Blue
Answer:
black line <3
Step-by-step explanation:
the slope is -2 :)
A negative slop occurs when the rate of change is negative. Looking at the options we have, we can pick a point from each line. The Red line will display a positive slop, the Blue line will display a positive slope, but the Black line will display a negative slope. Therefore, the Black like has a negative slope.
I hope this helps! :)
Help? Find the exact value.
what is a ratio of two different measurements where the 2nd measurement is 1.
Answer:
A "rate" is a ratio involving a comparison of 2 quantities that have different unites of measurement. An example of this can be miles per hour or g/mL
Step-by-step explanation:
What has she done wrong?
Answer:
see explanation
Step-by-step explanation:
Her error is in squaring (2y)²
She has (2y)² = 2y²
when it should be 2y × 2y = 4y²
Then
(2y)² = 6² + 8²
4y² = 36 + 64
4y² = 100 ( divide both sides by 4 )
y² = 25 ( take square root of both sides )
y = [tex]\sqrt{25}[/tex] = 5
2. How many tens are in 9 hundreds?
Answer:90
Step-by-step explanation:
900/10 = 90
Answer: 90
Step-by-step explanation:
Which set of ordered pairs represents a function?
A. {(0,5), (2,5),(4,5), (6,5), (8,5)}
B. {(3, 1), (3, 2), (3, 3), (3, 4), (3,5)}
C. {(2,3), (3, 4), (4,3), (3, 2), (2, 1)}
D. {(1, 4), (2, 4), (3, 4), (4, 3), (4, 2)}
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
12<=x-7. add 7 to both sides.
x>=19
