What is the value of the expression shown below 10+(2x3)^2 divided by 4x (1/2)^3

Answer:

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1-y}{1+x}[/tex]

Step-by-step explanation:

Differentiate xy using the product rule, then

Given

x - y = xy

1 - [tex]\frac{dy}{dx}[/tex] = x. [tex]\frac{dy}{dx}[/tex] + y. 1 = x[tex]\frac{dy}{dx}[/tex] + y ( subtract 1 from both sides )

- [tex]\frac{dy}{dx}[/tex] = x [tex]\frac{dy}{dx}[/tex] + y - 1 ( subtract x [tex]\frac{dy}{dx}[/tex] from both sides )

- [tex]\frac{dy}{dx}[/tex] - x [tex]\frac{dy}{dx}[/tex] = y - 1 ( multiply through by - 1 )

[tex]\frac{dy}{dx}[/tex] + x[tex]\frac{dy}{dx}[/tex] = 1 - y

[tex]\frac{dy}{dx}[/tex] (1 + x) = 1 - y ← divide both sides by (1 + x)

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1-y}{1+x}[/tex]

The differentiation of the function x - y = xy is dy/dx = (1-y)/(x+1).

Differentiation is a method of finding the derivative of a function.

It shows instantaneous rate of change in a function.

The given expression is,

x - y = xy

Differentiate with respect to x,

d/dx (x-y) = d/dx (xy)

Use multiplication formula for differentiation,

d/dx(ab)= a.db/dx+da/dx.b,

1 - dy/dx =  x.dy/dx + y. 1

1 - dy/dx = x.dy/dx + y

1 - y =x.dy/dx + dy/dx

1 - y = (x+1).dy/dx

dy/dx = (1-y)/(x+1)

The differentiation of the function x - y = xy is dy/dx = (1-y)/(x+1).

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Answer:

10

Step-by-step explanation:

1. Write an equation to represent the ratio of the sides to the corresponding sides in the second figure.

6/9 = x/15

6 and x are both numerators because they are corresponding sides and 9 and 15 are both numerators because they are corresponding sides.

2. Solve for x.

multiply both sides by 9

6 = 9x/15

multiply both sides by 15

90 = 9x

solve for x by dividing both sides by 9

x = 10

*sorry if the explanation was confusing but I hope you understand with the equation and numbers

Answer:

Step-by-step explanation:

Total interior angles in a triangle=180 degrees

That is: 3x + 10 + 5x - 1 + x =180

9x+9=180

9x=180-9

9x=171

x=171/9

x=19

Therefore

Angle A =67 degrees

Angle B= 94 degrees

Angle C = 19 degrees

Answer:

6

Step-by-step explanation:

Because triangles ADC and ACB are similar:

[tex]\dfrac{3}{1.8}=\dfrac{AB}{3} \\\\\\AB=5 \\\\\\CB=\sqrt{5^2-3^2}=4[/tex]

The area of ABC is therefore bh/2=3*4/2=6.

Hope this helps!

Answer:

a) 15xyz +12

b) 4ab +10

c) 7x +1

d) 3x + 13

Step-by-step explanation:

Put the like terms together. Make sure you put the things with higher variable coefficiants first.

Answer:

15[tex]xyz[/tex] + 4[tex]ab[/tex] + [tex]av[/tex] + 3[tex]b[/tex] + 6[tex]c[/tex] + d + 10[tex]x[/tex] + 27

Step-by-step explanation:

Add The Expressions.

Answer:

The answer is A

Step-by-step explanation:

The formula used to find the area of a triangle is 1/2base *height

The base is 16 so half of 16 is 8 then multiply it with the height 8 to get 64.

Area of obtuse triangle is 64 sq. units

"A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called obtuse-angled triangle or obtuse triangle."

Given

Base of triangle = 16

Height of triangle = 8

Formula to find the area of obtuse triangle

A = [tex]\frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]

A = [tex]\frac{1}{2}[/tex] × [tex]16[/tex] × [tex]8[/tex]

A = 8 × 8

A = 64

Hence, Area of obtuse triangle is 64 sq. units

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Answer:

-8 ÷ (x + 3)

Step-by-step explanation:

So quotient means that you're dividing, so put a ÷

Next, it says the dividend, or the part being divided is -8, so now you have this: -8 ÷

Lastly, it says the divisor, or the part doing the dividing, is a quantity equal to the sum of "some number" (we'll use x) and 3. Since the divisor is one quantity collectively, you have to put it in parentheses.

This gives you: (x + 3)

When you put it all together, you get -8 ÷ (x + 3).

This can also be written as a fraction: -8/x+3.

Answer:

that equals 5 cups

Step-by-step explanation:

40% in ounces is 5 cups

Step-by-step explanation:

If you divide the total amount of cups it takes to take the next measurement it comes to 5 cups.

Answer:

y = -7

Step-by-step explanation:

As the slope is m = 0, that means there is no slope. All values of x in the domain will always output -7. Therefore, your equation would be y = -7.

Answer:

y = -7

Step-by-step explanation:

Use the formula:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope of the equation is equal to 0.

The y-intercept is at (0, -7)

y = (0)x + -7

y = -7

The equation of the line is y = -7.

Answer:

Step-by-step explanation:

Given equation of the line is,

y = -x + 1

We will get the output values (y-values) from the given equation for different input values (x-values).

For x = 0,

y = 0 + 1

y = 1

For x = -1,

y = -1 + 1

y = 0

For x = -6,

y = -6 + 1

y = -5

So the table of the ordered pairs will be,

x        0         -1          -6            

y       1           0         -5

Answer:

C. 4

Step-by-step explanation:

By definition y = ax +b

b is the incline with the y-axis

a = incline or gradient.

Given y = -5x + 4

By this alone you can see b = 4

Choose your answer, which is answer C.

Answer:

A. I

Step-by-step explanation:

first 10 symbols are digits from 0 to 9

then next 9 symbols are alphabets from A to I

so the largest symbol is I

19 base number system has 19 symbols:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, G, H, I

The largest symbol is I

Answer:

Answer:

8624.03

Step-by-step explanation:

(8×1,000)+(6×100)+(2×10)+(4×1)+(3×1/100)

8000+600+20+4+.03

8624.03

Answer:

8624.03

Step-by-step explanation:

8000 + 600 + 20 + 4 + .03

The slope between two points is:  (change in Y) / (change in X) .

Slope = (-95) / (1)

Slope = -95

Step-by-step explanation:

[tex](-38, 100) and (-37, 5). \\ x1 = - 38 \\ y1 = 100 \\ x2 = - 37 \\ y2 = 5[/tex]

[tex]m \: = \frac{y2 - y1}{x2 - x1} \\ m \: = \frac{5 - 100}{ - 37 - 38} \\ m = \frac{ - 95}{ - 75} [/tex]

[tex]m = \frac{19}{15} [/tex]

Area of patio = 12 x 16

                      = 192 square feet

Cost = 192 x 8

        = $1536

Answer:

jenny got 15 pair of shoes

her bro got 10 pairs of shoes

Step-by-step explanation:

Jenny: 15 shoes

Brother: 10 shoes

Answer:

y = -3x + 4

Step-by-step explanation:

So the -3 is the slope and the slope always has an x and the y intercept is b which is 4

Answer:

y = -3x + 4

Step-by-step explanation:

slope-intercept form: y = mx + b

Note that: m = slope

y- intercept = b

m = slope = -3

y-intercept = b = 4

Plug in the corresponding number to the corresponding variables:

y = mx + b

y = -3x + 4 is your answer.

~

Answer:

D is correct answer

Step-by-step explanation:

Answer:

1875 g

Step-by-step explanation:

1/4=625g

3/4=x

Then cross multiply

1/4x=625*3/4

1/4x=468.75

Then divide both sides by .25

which is 1,875 grams

Hope it helps a little

Answer:

For number three you did everything correct.

But, number 4 it has to be equal to.

[tex]3/6=1/2[/tex]

They are equal to each other.

So just change it to an equal sign and your good.

Hope this helps

All is right, just one wrong.

3 sixths are not lesser than 1 half.

[tex]\displaystyle \frac{3}{6} =\frac{1}{2}[/tex]

3 sixths are equal to 1 half.

Answer:

axis of symmetry: x=-1

Step-by-step explanation:

Answer:

m=22.2

Step-by-step explanation:

By using the Pythagorean’s theorem i.e

hypotenuse^2=opposite^2+adjacent^2

Where

Hypotenuse =unknown

Opposite =18

Adjacent =13

Hyp^2=18^2+13^2

Hyp^2=324+169

Hyp^2=493

Hyp=sqrt 493

Hyp=m=22.2

Answer: option 3

PLEASE MARK ME AS BRAINLIEST

Answer:

option c  it has rotational symmetry with an angle of rotation 90degree

Step-by-step explanation:

it is a figure shown based on symmetry first 2 option saying a basic answer

and last one is wrong

Answer:

The height of the triangle is 24 cm.

Answer:

I think it's B. 5/9(F -32) < 140

Step-by-step explanation:

I just took the test and the answer is n= 6

Answer:

n=6

Step-by-step explanation:

Answer:

8/17

Step-by-step explanation:

The correct and complete question is:

Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?

From definition:

tan(Y) = opposite/adjacent

From the graph and the question:

tan(Y) = XZ/XY = 8/15

Then:

XZ = 8 and XY = 15. Using pytaghorean theorem:

XZ² + XY² = YZ²

8² + 15² = YZ²

√289 = YZ

17 = YZ

From definition:

sin(Y) = opposite/hypotenuse

From the graph:

sin(Y) = XZ/YZ

sin(Y)= 8/17

Answer:

C.

Step-by-step explanation:

You can eliminate A and B because they square root graphs. You are left with C and D. C is the correct choice because the graph is being reflected across the x-axis, shown by the negative.

Alternatively you can graph each equation on a graphing calc and choose the best answer.

Answer:

184

Step-by-step explanation:

46 divided by .25

Answer:

200 Ribbons

Step-by-step explanation:

To break even Lucas needs to sell 200 ribbons --> this is because, =>

let's make an expression for this equation -->

x = amt. of ribbons

y = expense or revenue

x(0.25) = y + x(0.02)

Let's plug he given in --> 0.25x = 46 + 0.02x -->

now we can solve => x = 200

Hope this helps!