find the value of the expressions 3x^3-2y^3-6x^2y^2+xy for x=2/3 and y=1/2

Answers

Answer 1

Hi!

[tex]3x^3-2y^3-6x^2y^2+xy=\\\\=3\cdot(\frac{2}{3})^3-2\cdot(\frac{1}{2})^3-6\cdot(\frac{2}{3})^2\cdot(\frac{1}{2})^2+\frac{2}{3}\cdot\frac{1}{2}=\\\\=3\cdot\frac{8}{27}-2\cdot\frac{1}{8}-6\cdot\frac{4}{9}\cdot\frac{1}{4}+\frac{1}{3}=\\\\=\frac{8}{9}-\frac{1}{4}-\frac{2}{3}+\frac{1}{3}=\frac{8}{9}-\frac{1}{4}-\frac{1}{3}=\frac{32}{36}-\frac{9}{36}-\frac{12}{36}=\boxed{\frac{11}{36}}[/tex]


Related Questions

There are no results for an 8 sideded fair die with faces labelled 2,3,3,4,7, 7,7,7 and 9 is rolled finmd the probibilty sou;ltio

Answers

Answer:

Probability of getting a number which is not 2 = 7/8

Step-by-step explanation:

Given;

Total number of faces = 8

Number of face with 2 = 1

Number of face with 3 = 2

Number of face with 4 = 1

Number of face with 7 = 3

Number of face with 9 = 1

Find:

Probability of getting a number which is not 2

Computation:

Probability of not an event = 1 - [Number of favourable outcomes / Total number of outcomes]

Probability of getting a number which is not 2 = 1 - [1/8]

Probability of getting a number which is not 2 = [8-1] / 8

Probability of getting a number which is not 2 = 7/8

Luigi uses 39 cups of flour for every 6 pizzas he makes. How many cups of flour does he need to make 4 pizzas? If he uses 13 cups of flour how many pizzas can he make?

Answers

Answer:

4 pizzas - 26 cups

13 cups - 2 pizzas

Step-by-step explanation:

4 pizzas:

39 cups : 6 pizzas

6.5 cups : 1 pizza

6.5×4 cups : 4 pizzas

4 pizzas = 26 cups

6.5 cups : 1 pizza

13/6.5 cups : x pizzas

13 cups = 2 pizzas

Answer:

1) necesita 26 tazas de harina .

2) puede hacer solo 2 pizzas .

espero te sirva :)

Step-by-step explanation:

1) 39 dividido en 6 = 6,5 , 6,5 por 4 = 26.

2) 6,5 por 2 = 13.

Please send me answer please

Answers

the answer will be

11.25÷15=0.75

Hooe it helps!

what’s the answer to this?

Answers

2 goes with 3
3 goes with 1
4 goes with 2
1 goes with 4

Sam made $147 for 7 hours of work at the same rate how much would he make for 9 hours of work

Answers

divide $147 by 7 you’ll get 21, so he’s making 21 dollars an hour, you’ll multiply 21 by 9 which you’ll get $189
so your answer will be $189 for 9 hours of work
hope this helps!

Which statement about these two restaurant meals is correct? A. Neither meal contains any nutrients. B. Meal A is the more healthful choice. C. Meal B is the more healthful choice. D. Both meals are healthful choices.​

Answers

Answer:

D. Both meals are healthful choices

Graph the function f(x)= -5(x+5)^2–4.

Plot the vertex. Then plot another point on the parabola.

Answers

Answer:

Vertex= (-5,-4)

Another point=(0, -129)

Step-by-step explanation:

The vertex is also the maximum, and the point is also the y-intercept.

I Am offline or Raindowsalt please answer this !

Answers

❀ [tex]\huge\underline{ \underline{Solution :-}}[/tex]

[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )[/tex]

To solve, use the algebraic identity ➺

(x + a)( x + b) = x² + (a + b)x + ab

[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} ) \\ = ({y}^{2}) ^{2} + ( \frac{5}{7} + - \frac{14}{5} ) {y}^{2} + \frac{5}{7} \times - \frac{14}{5} \\ = {y}^{4} - \frac{73}{35} {y}^{2} - 2[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Someone please help me with this algebra problem

Answers

Answer:

90

Step-by-step explanation:

I need who help .. who can be my lifesaver

Answers

Answer:

Q = G

Step-by-step explanation:

We are already given that angle P = angle H

We are also given that side QP = side GH

Remember if two sides are congruent then so are their opposite angles meaning that the opposite angle of GH ( which would be angle F ) would be congruent to the opposite angle of QP ( which would be angle R )

The remaining angles would be angle q and angle g so the additional information needed would be G = Q

Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate integrating factor. y(6x y 6) dx (6x 2y) dy

Answers

Answer:

[tex]\mathbf{6xe^xy+y^2e^x = C}[/tex] which implies that C is the integrating factor

Step-by-step explanation:

The correct format for the equation given is:

[tex]y(6x+y +6)dx +(6x +2y)dy=0[/tex]

By the application of the general differential equation:

⇒ Mdx + Ndy = 0

where:

M = 6xy+y²+6y

[tex]\dfrac{\partial M}{\partial y}= 6x+2y+6[/tex]

and

N = 6x +2y

[tex]\dfrac{\partial N}{\partial x}= 6[/tex]

[tex]f(x) = \dfrac{1}{N}\Big(\dfrac{\partial M}{\partial y}- \dfrac{\partial N}{\partial x} \Big)[/tex]

[tex]f(x) = \dfrac{1}{6x+2y}(6x+2y+6-6)[/tex]

[tex]f(x) = \dfrac{1}{6x+2y}(6x+2y)[/tex]

f(x) = 1

Now, the integrating factor can be computed as:

[tex]\implies e^{\int fxdx}[/tex]

[tex]\implies e^{\int (1)dx}[/tex]

the integrating factor = [tex]e^x[/tex]

From the given equation:

[tex]y(6x+y +6)dx +(6x +2y)dy=0[/tex]

Let us multiply the above given equation by the integrating factor:

i.e.

[tex](6xy+y^2 +6y)dx +(6x +2y)dy=0[/tex]

[tex](6xe^xy+y^2 +6e^xy)dx +(6xe^x +2e^xy)dy=0[/tex]

[tex]6xe^xydx+6e^xydx+y^2e^xdx +6xe^xdy +2ye^xdy=0[/tex]

By rearrangement:

[tex]6xe^xydx+6e^xydx+6xe^xdy +y^2e^xdx +2ye^xdy=0[/tex]

Let assume that:

[tex]6xe^xydx+6e^xydx+6xe^xdy = d(6xe^xy)[/tex]

and:

[tex]y^2e^xdx +e^x2ydy=d(y^2e^x)[/tex]

Then:

[tex]d(6xe^xy)+d(y^2e^x) = 0[/tex]

[tex]6d (xe^xy) + d(y^2e^x) = 0[/tex]

By integration:

[tex]\mathbf{6xe^xy+y^2e^x = C}[/tex] which implies that C is the integrating factor

What is the value of k?

Answers

Answer:

Step-by-step explanation:

recall that the inside angles of a triangle add up to 180°

and also that the angle 115° is the other part of a 180° total

180=115+y

180-115 =65

then the inside angle at Y  is 65°

add the three inside (interior of the triangle) angles up

180= 65 + (4k+5) + (6k+10)

180 = 65 + 10k + 15

180 = 80 + 10k

100  = 10k

10 = k

see how I did that?  


Ion kno this help pls?????????????

Answers

Answer:

[tex]2 {x}^{2} - x - 1 \\ 2 {x}^{2} - (2 - 1)x - 1 \\ 2 {x}^{2} + 2x - 1x - 1 \\ 2x(x + 1) - 1(x + 1) \\ (2x - 1)(x + 1)[/tex]

express 26 divide 4 +root3 in form a +b root3 where a and b are integres​

Answers

Answer:

8 - 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Given: [tex]\frac{26}{4 + \sqrt{3} }[/tex]

To express the given question in the form a + b[tex]\sqrt{3}[/tex], we first have to rationalize the denominator of the expression.

Rationalizing the denominator, we have;

[tex]\frac{26}{4 + \sqrt{3} }[/tex] * [tex]\frac{4 - \sqrt{3} }{4 - \sqrt{3} }[/tex]  = [tex]\frac{104 -26\sqrt{3} }{16 -4\sqrt{3} + 4\sqrt{3}- 3 }[/tex]

= [tex]\frac{104 - 26\sqrt{3} }{16 - 3}[/tex]

 = [tex]\frac{26(4 - \sqrt{3} }{13}[/tex]

= 2(4 - [tex]\sqrt{3}[/tex])

= 8 - 4[tex]\sqrt{3}[/tex]

The required form of the given question is therefore 8 - 4[tex]\sqrt{3}[/tex]

is my answers correct?

Answers

Answer:

Saleh is x years old. And 10 years ago he was 100 years old.

Suha is x years old. Saleh is 10 years younger than Suha. Saleh is 100 years old.

Yes it is the correct answer

Find the measure of the indicated angle

Answers

Answer:

Step-by-step explanation:

Because of the Isosceles Triangle Theorem, the angles across from the congruent sides will be congruent. That means that the angle x also measures 42 degrees.

la suma de 4 numeros consecutivos es 54 ¿cual es el numero mayor?

Answers

Answer:I don’t speak Spanish so I can’t help

Step-by-step explanation:

10 ^ (th) term for AP-5,-10,-15,..... is :-(A) -955 (B) 50 (C) -50 (D) 955​

Answers

Answer:

C

Step-by-step explanation:

The nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 5 and d = a₂ - a₁ = - 10 - (- 5) = - 10 + 5 = - 5 , then

a₁₀ = - 5 + (9 × - 5) = - 5 - 45 = - 50 → C

2(4+2x)≥5x+5 solve inequality

Answers

Answer:

x ≤ 3

Step-by-step explanation:

2(4+2x)≥5x+5

8+4x≥5x+5

4x-5x≥5-8

-x≥-3

x 3

[tex]\tt\displaystyle\2(4+2x)\geq 5x+5\\\\8+4x\geq 5x+5\\\\4x-5x\geq 5-8\\\\-x\geq -3\\\\x\leq 3 \\\\Answer: x\leq 3 \quad or \quad x\in(-\infty;3][/tex]

Tell whether the angles are adjacent or vertical. Then find the value of x.

The angles are angles

The value of x is

Answers

Answer:

If two angles have common side and they shares common vertex, they are called adjacent angles.

When two lines crosses each other, the opposite angles are called vertical angles as they share same vertex.

Two angles shown in diagram are adjacent as they are on common side.

Both the angles are on a straight line, hence

Subtracting 109 from both sides

Both angles shown in diagram are opposite to each other, hence vertical angles.

As they are opposite to each other, they both are equal.

Subtracting x from both sides

Subtracting 1 from both sides

Both angles are having a common side means they are adjacent angles.

As they are on straight line, both angles will add up to 180 °.

Subtracting 96 from both sides

Dividing from 6 in both sides

Hope it will help :)

Find the value of n.
PLEASE HELP ASAP!

Answers

Answer:

d .9

Step-by-step explanation:

n^2-3 = 2×39 (line joining midpoints is half of third line )

n^2 = 78+3

n^2 =81

n =9

7. Give an example of a polynomial with a degree of 3.

Answers

[tex]\large{\textrm{{{\color{navy}{ax³ + bx² + cx + d}}}}}[/tex]

It is a cubic polynomial.This cubic polynomial has 3 zeros.

what is the missing reason in the proof?

Answers

A) corresponding angle theorem

What conclusion would be true given the hypothesis?

Answers

Answer:

4th option

Step-by-step explanation:

If ∠ 1 = ∠ 2 = ∠ 3

Then ∠ 1 = ∠ 3 is true

Answer:

The second one the measure of angle?1 is less then angle 3 is the correct answer.

Someone tell me where everyone is going right please !!

Answers

Answer:

Everyone's action is correct except Luis

luis's equation is wrong because he flipped the inequality sign when he subtracted

true inequality ;

2.4b + 6.5 > -8.1

so Luis wrong

HAVE A NİCE DAY

Step-by-step explanation:

GOOD LUCK :D

greeetings from Turkey ツ

Answer:

(B) Luis's, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Let's evaluate each answer choice:

"Amelia's, because the variable term must be isolated on the left side"

This answer choice is wrong! Whichever side the variable term is isolated on DOESN'T affect the answer of the problem.

"Luis's, because he flipped the inequality sign when he subtracted"

This answer choice is right! Only flip the inequality sign when dividing a NEGATIVE number.

"Shauna's, because she did not apply the subtraction property of equality properly"

This answer choice is wrong! Shauna correctly applied the subtraction proper by subtracting 6.5 from both sides.

"Clarence's, because the terms he added together were not like terms"

This answer choice is wrong! Clarence added 8.1 to both sides, so he added 8.1 to 6.5, which are like terms.

Hope it helps (●'◡'●)

show that the disgonals of a square are equal and bisect each other at right angle​

Answers

Sorry this ain’t your answer, but do u kno what to do if my sister is having a panic attack

Ali sold some cakes at a cake sale.
The cakes are chocolate, lemon or vanilla flavoured.
The cakes are either large or small.
complete the two way table

Answers

Answer:

vanilla small= 14

lemon large= 25

Step-by-step explanation:

total= 120

120÷3= 40

each of flavoured cake have 40

lemon= 40 - 26= 14

vanilla= 40- 15= 25

Using the net below, find the surface area
of the pyramid.
sto
5 in
5 in.
Surface Area
=
[?] in?
Enter

Answers

Answer:

Using the net below, find the surface area

of the pyramid.

sto

5 in

5 in.

Surface Area

=

[?] in?Step-by-step explanation:

In fact it’s right plus I will give you money for making the right answers easy for me

someone help me with my algebra homework please

Answers

Answer:

(8,2.40)

Step-by-step explanation:

PLEASE HELP!!!


Solve for x in the following equation!!!

[tex]sin(\frac{3\pi }{2}+x) + sin(\frac{3\pi }{2}+x)=-2[/tex]

Answers

Answer:

Step-by-step explanation:

First we'll simplify this using the Sum Identity for sin(x + y) where [tex]x=\frac{3\pi}{2}[/tex] and y = x. Notice we have 2 of those so we simplify first into

[tex]2sin(\frac{3\pi}{2}+x)=-2[/tex] and divide away the 2 on the left to get

[tex]sin(\frac{3\pi}{2}+x)=-1[/tex] and now we'll expand:

[tex]sin\frac{3\pi}{2}cosx+cos\frac{3\pi}{2}sinx=-1[/tex] and go to your unit circle to find the sin and cos of [tex]\frac{3\pi}{2}[/tex] and fill in where they go:

(-1cosx + 0sinx) = -1 which simplifies to

-1cosx = -1 so

cosx = 1 and

x = 0 or 2π, depending upon what your interval is.

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