plz help me find answer. what are the coordinates of slope when y= x/1–x² when dy/dx=1​

Plz Help Me Find Answer. What Are The Coordinates Of Slope When Y= X/1x When Dy/dx=1

Answers

Answer 1

Step-by-step explanation:

dy/dx

= d/dx [x / (1 - x²)]

= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²

= (1 + x²) / (1 - x²)².

When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.

=> 1 + x² = 1 - x²

=> 2x² = 0, x = 0.

Also when x = 0, y = (0) / [1 - (0)²] = 0.

Hence the coodinates is (0, 0).


Related Questions

The rectangle to the right has width 6x5 feet and length 9x8 feet. Find its area as
an expression of x.

Answers

Answer:

54x¹³

Step-by-step explanation:

area = L x W

where L = 9x⁸

          W = 6x⁵

plugin values into the formula:

Area = 9x⁸ * 6x⁵

        = 54x¹³

The area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.

To find the area of the rectangle, we can use the formula for the area of a rectangle, which is:

Area = length × width

Given that the width is 6x5 feet and the length is 9x8 feet, the area of the rectangle is:

Area = (9x8) × (6x5)

To simplify the expression, multiply the coefficients and combine the variables:

[tex]Area = 54x^2 * 40x[/tex]

Now, multiply the coefficients:

[tex]Area = 2160x^3[/tex]

So, the area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.

To know more about area, refer here:

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HERE IS THE TEXT THERE IS MORE THO

Answers

Answer:

What exactly is this for?

6x+3 what is the value of x?

Answers

Answer:

3

Step-by-step explanation:

6x+3

6+6+6=18

or 6 divided by 2 which is 3

Find the product. Please

Answers

The correct answer is b.

Thank me by clicking the ❤️. Thanks!

2. On Saturday morning the temperature outside was 4 degrees Fahrenheit. By noon, the temperature had risen 12 degrees, and then at 9 P.M., it dropped 17 degrees. Write an expression that this situation describes. What was the temperature at 9 P.M.? Explain how you could use the vertical number line as a tool to solve the problem.​

Answers

Answer:

it is 16 degrees outside then take away the 17 from the 16 and the answer is 1 degree

When you buy multiple stocks, you have to multiply your gains and losses by how many stocks you own. For example, if you own two stocks of Netflix, and the stock increases in value by $10, you have gained $20 (To calculate this you do $10 x 2).

Suppose you own 5 stocks of Netflix. If the value of Netflix stock increases by $30 after you buy it... how much money have you made?

Answers

i would say it’s 150
(30 x 5)

Nicholas sprints the length of a football field. If a football field measures 100 yards and 1 yard is approximately 0.914 meter, how far, in meters, did Nicholas sprint?

Answers

Answer:

91.4 meters

Step-by-step explanation:

From the question:

1 yard = 0.914 meter

100 yards = x meters

x meter = 100 × 0.914 meters

x = 91.4 meters

Therefore, Nicholas sprinted 91.4 meters

Answer: 91.4

Step-by-step explanation: PLEASE GIVE BRAINLIEST

Point C is located at (-4, -6) on the coordinate plane. Point C is reflected over the y-axis to create point C'. What ordered pair describes the location of C''?​

Answers

Answer:

(4,6)

Step-by-step explanation:

Since its reflected just remove the signs

The reflected coordinate points along the y-axis is C'(4, - 6).

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

We know reflection over the y-axis changes (x, y) to (- x, y).

Given, Point C(-4, -6) is reflected over the y-axis.

∴ The reflected coordinate points C'(4, - 6).

learn more about transformations here :

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y = 2x - 1
y=-3x + 4
Solve the following system of equations for x

Answers

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 1

y = -3x + 4

Step 2: Solve for x

Substitution

Substitute in y:                   2x - 1 = -3x + 4Add 3x on both sides:       5x - 1 = 4Add 1 to both sides:           5x = 5Divide 5 on both sides:     x = 1

Answer:

[tex]y = 2x - 1 \: and \: y = - 3x + 4 \\replacing \: the \: value \: of \: y, \: we \: get \\ 2x - 1 = - 3x + 4 \\ 5x = 5 \\ \boxed{x = 1}[/tex]

x= 1 is the right answer.

write the number 100 as a product of it's prime factor in the same way write the factors in order from smallest to largest

Answers

Answer:

Thx for my points back

Step-by-step explanation:

Answer:

Thx

Step-by-step explanation:

for free points.....

Its substitution, and rearrangement you have to find x
y = 3x + 7 5x - 2y = -10​

Answers

Answer:

Step-by-step explanation: I dont know actually

A satellite flies 122070miles in 15.65hours. How many miles has it flown in 18.02 hours?

Answers

Answer:

answer

Step-by-step explanation:

A 2-D shape has a length of 8cm and a width of 3cm. Find the perimeter and the area.
With steps please. ​

Answers

Answer:

Area formula: l x w

= 8 x 3

24 cm^2

Perimeter formula: Sum of all sides

= 8+8+3+3

= 25 cm

Answer: 24cm

Step-by-step explanation:

8 multiplied by 3

please answer i will give brainliest

Answers

Answer:

B

Step-by-step explanation:

The rate at Randy's store is 1 gallon of gas for $3

The rate at Sarah's store is 1 gallon of gas for $2.80

So, Randy's store is more expensive.

You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first is a diamond and the second card is a five.

Answers

Answer:

1/52

Step-by-step explanation:

52/4=13 theirs only 4 5s in a deck of cards so 13*4 is 52

Calculate the total to be repaid on a loan of $4600.00 for 18 months at a
rate of 5%.​

Answers

Answer:

$4945

Step-by-step explanation:

the interest on the loan can be found by using this formula:

I = P · r · t     P = principal, r = interest rate, t= time (in years)

I = 4600(.05)(1.5)

I = 345

Total Amount = Principal plus Interest

Total Amount = 4600 + 345 = $4945

Carla rolls an unbiased 8 sided dice 100 times. Estimate the number of times she will roll a prime number.

Answers

Prime number between 1 and 8 = 2,3,5,7
So 4/8 = 50% of the number

So 0.5 x 100 = 50 times

Answer:

the numbers on an 8-sided die are 1, 2, 3, 4, 5, 6, 7, and 8

2, 3, 5, and 7 are prime numbers

half the numbers are prime

you should roll a prime number half of the time (theoretically)

if you roll the die 100 times, you (theoretically) should get a prime number 50 times, which is half of the time

A truck has traveled 75 miles in 1.5 hours of driving. At the same speed, which proportion can be used to determine how long, T (in hours), it would take the truck to travel 325 miles.

Answers

Answer: 6.5 hours

Step-by-step explanation:

From the question, we are given the information that a truck has traveled 75 miles in 1.5 hours of driving. The miles pee hour travelled will be:

= 75 / 1.5

= 50 miles per hour

The number of hours that the truck will use to travel 325 miles will be:

= 325/50

= 6.5 hours

Write the equation of the perpendicular bisector of the segment formed by:
(-4, 3) and (8, -3)

Answers

Answer:

The equation of perpendicular bisector is:

[tex]y = 2x-2[/tex]

Step-by-step explanation:

Given the points

(-4, 3)(8, -3)

First, we need to find the midpoint of the points (-4, 3) and (8, -3)

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]

[tex]=\left(\frac{8-4}{2},\:\frac{-3+3}{2}\right)[/tex]

[tex]=\left(2,\:0\right)[/tex]

Thus, the midpoint of the points is: (2, 0)

Now, finding the slope between (-4, 3) and (8, -3)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]

[tex]m=-\frac{1}{2}[/tex]

Therefore, the slope m = -1/2

The slope of the line perpendicular to the segment = [-1] / [-1/2] = 2

Using the point-slope form of the equation of the line, the equation of perpendicular bisector is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line

substituting the slope 2 and the point (2, 0)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 0 = 2 (x-2)[/tex]

[tex]y = 2x-2[/tex]

Therefore, the equation of perpendicular bisector is:

[tex]y = 2x-2[/tex]

Find the slope each line.
5)

Answers

Answer:

y=-3/4x + 2

Step-by-step explanation:

Since you already picked up the 2 points in the line, all we have to do is count the number of squares for the rise/run

To get the rise, you go down the first point by -3 (since you are moving down its negative 3) then for the run, you go right by 4 (Since you are moving right you get positive 4)

rise = -3

run = +4

y=mx+b

y = -3/4x + b

Now to find the y intercept, which is "b" in the equation above, you just look at the graph and find out where the y intercept is, in this case, I'd say its about 2.

y = -3/4x + 2

hurry please i’m taking a test!!!

Answers

Step-by-step explanation:

Since triangles ABC and DEF are congruent,

Angle D = Angle A.

=> (2y - 5)° = 65°, 2y - 5 = 65, y = 35.

Also side EF = side BC.

=> 2x + y = 90.6, 2x = 90.6 - (35) = 55.6, x = 27.8.

Answer: Y = 35, X = 27.8

Step-by-step explanation:

First you need to find Y. So, you do 2y - 5 = 65. First you add 5 to both sides, this will give you 2y = 70. Then divide both sides by 2 to get y = 35. Then in order to find x we do 2x + y = 90.6. First we change Y to the 35, as that is what y equals, then subtract both sides by 35 to get 2x = 55.6. Then you divide both sides by 2 to get x = 27.8.

pls help this is for math class​

Answers

Answer:

40

Step-by-step explanation:

i am not very good at explaining things but i am very good at math but i do hope this helps

Helllp,??????????????

Answers

If the first question mark is 3 then the next is 13 than the next still 13 and the right one 26 and then lastly x is equally to 2
Or
3x+9+10x=33
13x+9=33
13x=26
X=2

what is negative 5 plus 6​

Answers

It would be Positive 1
We know it will be positive because we are adding a bigger positive amount

Answer:

negative 5 plus positive (normal) 6 is 1

the answer is 1

Step-by-step explanation:

6 is a positive number, it makes things higher.

5 is a negative number, it makes things lower

this is also the same as 6 - 5, which if you had higher numbers could be a negative number depending on which is bigger. since 6 is bigger in this case, the answer is positive. if it was negative 7 plus 6, the answer would be -1 or negative one. if it was negative six plus positive six, the answer would be zero since they cancel each other out.

After withdrawing $58, Mark
had $200 dollars left in his
savings account. How much
money was in the account
before the withdrawal?

Answers

$258 dollars. He started with 258, took away 58, and was left with 200.

x+5y=5
2x-y=-4

Which of the following graphs in the xy-plane could be used to solve the system of equations above?​

Answers

D looks like the most probable choice in this equation.

7/8y-6=8
solve for y

Answers

Answer:

y=55/64

Step-by-step explanation:7

8y−6

=8

Step 1: Multiply both sides by 8y-6.

7=64y−48

64y−48=7(Flip the equation)

64y−48+48=7+48(Add 48 to both sides)

64y=55

64y

64

=

55

64

(Divide both sides by 64)

y=

55

64

Check answers. (Plug them in to make sure they work.)

y=

55

64

(Works in original equation)

Answer:

y=

55

64

is the number -284.2 rational or irrational?

Answers

Answer: -284.2 is a rational number

Which is NOT a key feature of LaTeX: f\left(x\right)=\left(\frac{1}{4}\right)^x

Answers

The words don’t look right

Help pls. Thank you

Answers

Answer:

[tex]\frac{1}{3}[/tex] feet

Step-by-step explanation:

The area of a rectangle is represented by the formula [tex]A = l[/tex] ×[tex]w[/tex], in which [tex]A[/tex] is the area, [tex]l[/tex] is the length, and [tex]w[/tex] is width.

Let's put in what we already know into the formula. We know that the area is [tex]\frac{5}{18}[/tex], so let's substitute that for [tex]A[/tex]. We know that the length is [tex]\frac{5}{6}[/tex], so let's substitute that for [tex]l[/tex]. This gives an equation that looks like this:

[tex]\frac{5}{18} = \frac{5}{6}[/tex] × [tex]w[/tex]

To find the width, all we need to do know is isolate [tex]w[/tex]:

[tex]w = \frac{5}{18}[/tex] × [tex]\frac{6}{5}[/tex]

[tex]w = \frac{30}{90}[/tex]

[tex]w = \frac{1}{3}[/tex]

Thus, the width is [tex]\frac{1}{3}[/tex].

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