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

will give BRAINLIEST ! plz help

Triangle ABC has A (-3, 6), B (2, 1), and C (9, 5) at its vertices.
The length of side AB is
A. (50)^1/2
B. (65)^1/2
C. (105)^1/2
D. (145)^1/2
units.
The length of side BC is
(one of the above options)
units.
The length of side AC is
(one of the above options)
units.
A. 55.21
B. 85.16
C. 105.26
D. 114.11

Answers

Answer:

AB= A. (50)^1/2

BC= B. (65)^1/2

AC= D. (145)^1/2

<ABC≈ 105

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle.
8
9
Square units
Reset
Next

Answers

Answer:

36 spuare units

Step-by-step explanation:

A= 1/2 b*h

b=8

h=9

A=1/2(8*9)

A=1/2(72)

A=36

He
Find the volume of this cylinder. Use 3 for pi
V = ?

Answers

Answer:

30in^3

Step-by-step explanation:

3x1^2x10=

3x1x10=

30

30in^3

Answer:

30 in^3

Step-by-step explanation:

The formula given for the volume of a cone is:

V = πr^2h

The formula needs the radius, but the picture just shows a diameter.

We know that the radius is always twice the diameter so:

Diameter: 2 in

2 ÷ 2 = 1

So the radius is 1 inch

Use the formula to determine the volume:

πr^2h

= 3(1^2)(10)

= 3(1)(10)

= (3)(10)

= 30

Hope this helps

What is the simplified value of the expression below?
1/3 divided by 2/3

0

1/3

1/2

1

Answers

1/2
Is the answer
To the problem

Answer:

option C : 1/2

Step-by-step explanation:

[tex]\frac{1}{3} \div \frac{2}{3} \\\\\frac{\frac{1}{3}}{\frac{2}{3}}\\\\\frac{1}{3} \times \frac{3}{2} \\\\\frac{1}{2}[/tex]

What is the slope of the line? What is the y-intercept of the line? y = 5/4x - 3

Answers

Answer:

m = 5/4

y intercept = -3

Step-by-step explanation:

The given equation of the line is ,

[tex]\implies y = \dfrac{5}{4}x -3[/tex]

We know that the Standard equation of Slope Intercept Form of the line is,

[tex]\implies y = mx + c[/tex]

Where ,

m is slope c is y intercept

On comparing to the Standard form of the line we get ,

[tex]\implies Slope = \dfrac{5}{4}\\[/tex]

[tex]\implies y - intercept= -3 [/tex]

general slope intercept form of a straight line is, y = mx + c

Slope of the line (m) = 5/4,

y-intercept of the line if when x=0 i.e.

y = 5/4x - 3

y = 5/4×0 - 3

y = -3

Answered by GAUTHMATH

jordan wants to save to buy a car and decides to open a banking account that is offering an interest rate of 4.5% compounded annually how much will jordan have in the account after 5 years it he deposits $7,000 today?

Answers

Answer:

8,723.27$

Step-by-step explanation:

A baker's bread recipe calls for 3
cups of flour. She plans to make 2 loaves of
bread
If the baker's measuring scoop holds cup, how many scoops of
flour will she need in all?

Answers

answer: 6 cups
explanation: she has 1 cup measuring cup and has to fill it 3 times for each loaf 3*2=6

Which number completes the system of linear
inequalities represented by the graph?
y> 2x – 2 and x + 4y > _____

Answers

The system of linear inequalties that is represented by the graph is formed by the expressions y > 2 · x - 2 and x + 4 · y > - 12.

What system of inequalities generate the graph seen in the image?

Herein we have two inequalities generated by two linear functions whose form is described below:

f(x, y) > a (blue region)      (1)

g(x, y) > b (red region)      (2)

By direct comparison, we find that the limit of the red region is represented by the inequality y > 2 · x - 2. From the equation of the line we can derive an expression for the limit of the blue region:

Slope

m = [- 4 - (- 3)]/(4 - 0)

m = - 1/4

Intercept

b = y - m · x

b = - 3 - (- 1/4) · 0

b = - 3

Then, the inequation is represented by the linear equation:

y > - (1/4) · x - 3

4 · y > - x - 12

x + 4 · y > - 12

The system of linear inequalties that is represented by the graph is formed by the expressions y > 2 · x - 2 and x + 4 · y > - 12.

To learn more on inequalities: https://brainly.com/question/20383699

#SPJ1

Help me with this question i forgot how to do these

Answers

44. 2•6= 12 and u gotta multiply that by two bc it’s 6 units on two sides of the square
same with the other side 5•2=10 and multiply that by 2
24+20= 44

Answer:

44m

Step-by-step explanation:

add all 4 sides of the rectangle then multiply by 2 since each square is 2m.

We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .

Answers

Answer:

By the Substitution property, the measure of angle ABC is equal to GHI.

Step-by-step explanation:

According to the Question,

Since we have,

Angle ABC and angle DEF are congruent ⇒ ∠ABC = ∠DEF-------(1 )  Similarly,angle GHI and angle DEF are congruent ⇒ ∠GHI = ∠DEF------(2)

On substituting the value of from equation (1) to equation (2)

We get, ∠ABC = ∠GHI ∴ ∠ABC ≅ ∠GHI

Thus, By the Substitution property  

The measure of angle ABC is equal to angle GHI.

. Evaluate the function rule for the given value.
y = 4.2xfor x = -6

Answers

Answer:

y= 4 x 2(6)

y= 4 x -12

y= -48

Step-by-step explanation:

y= 4 x 2(6)

y= 4 x -12

y= -48

Pa-follow po

Thank you

The Morris family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are 4 beds, 2 desks, and 1 dresser to select from. How many different furniture sets could they select?

Answers

Answer:

8 possibilities.

Step-by-step explanation:

There are many combinations. Instead of drawing out a chart and going through every single possibility, deleting the recurring ones, and recounting again, you need to multiply.

Since there are four beds and a dresser, obviously, there can only be four combinations to choose from. The Morris family can choose bed A with the drawer, bed B with the drawer, bed C with the drawer, or bed D with the drawer. All of these possibilities contain the same drawer, so it's pretty straightforward: only four combinations. This is 4 x 1.

Next, the family needs to choose between the two desks. They can choose bed A with desk A, bed A with desk B, bed B with desk A, bed B with desk B... and so on. Therefore, there will be four combinations of beds with desk A, and four combinations of beds with desk B. 4 + 4 = 8. Or, we could simply multiply the four beds by the two desks: 4 x 2 = 8. Both equations supply the same answer.

All in all, we need to multiply the number of choices together to get the total number of combinations. That's 4 x 2 x 1, which is 8.

Find the x of a triangle.

Answers

Answer:

x = 17

Step-by-step explanation:

29 + 29 + 11x - 65 = 180
58 + 11x - 65 = 180
58 + 11x + 65 = 245
58 + 11x = 245
-58 + 11x = -58
11x = 187
x = 17

in a survey, a group of students were asked to name their favorite elective class. There were 15 students who chose “other."

How many students participated?

Answers

Answer:

hii

Step-by-step explanation:

sry but it is an incomplete question

don't mind write the class and chapter name and subject name.

okk Gudni8

if u={1,2,3,4,5},A={2,4} and Beta {2,5,5}find n(AUB)​

Answers

u={1,2,3,4,5},A={2,4} and Beta {2,5,5}

now, (AUB)={1,3,3,4,5}

[AUB is the set of all elements of set A and set B without any repetition ]

n(AUB)=5

n(AUB)is the total no of elements in set (AUB)

Question 7 of 10 What is the slope of the line shown below? A. 2 B.-2 C.4 D.-4​

Answers

Answer:

C. 4

Step-by-step explanation:

Use the slope formula y2-y1 / x2-x1

6+2/3-1

8/2

4

So, the answer is C. 4.

C.4 you need to use the formula for slope

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Answers

Hello!

8y + 3 > 15y + 52 <=>

<=> 8y - 15y > 52 - 3 <=>

<=> -7y > 52 - 3 <=>

<=> -7y > 49 <=>

<=> y < -7 => y { -; -7 }

Good luck! :)

Find the equation of the line that
is perpendicular to y = -4x + 3
and contains the point (8, 1).

Answers

Answer:

x-4y=8

Step-by-step explanation:

y=mx+c comparing with given eq

we get slope(m1)=-4

since both are prependicular

m1×m2=-1

-4×m2=-1

m2=1÷4

eq:-y-y1=m2 (x-x1)

y-1=(1÷4)(x-8)

x-4y=4

y=1/4x-1

perpendicular means the y-intercept stays the same (so 3 stays), but the slope would be the opposite reciprocal of the original.

the opposite of -4 is 4. opposite of negative=positive.

the reciprocal of 4 is 1/4

so the new slope is 1/4

since we have a point, you plus everything on the point slope-form.

y-y1=m(x-x1)

(8,1)—> the 8 is x1 and the 1 is y1
the slope is m

so it’ll be

y-1=1/4(x-8)

solve. first distribute the 1/4

y -1=1/4x - 2

add 1 to both sides

y= 1/4x - 1

Which ordered pair is the best estimate
for the solution of the system of
equations?

y= 3/2x +6
y=1/4x -2

Answers

Answer: -6.4, -3.6

Explanation: A souloution of the system of equations is, when two equations intercept (y= 3/2x +6, y=1/4x -2)

Question 1: Use the image and your knowledge of the isosceles triangle to find the value of x

Answers

Answer:

35 degrees

Step-by-step explanation:

since both sides are equal, so are the angles involved.

guys help me
what is the answer?

Answers

Step-by-step explanation:

C. represent the number line for x

where x ix

3x>6x> 6/3x>2

hope it helps.stay safe healthy and happy.

Please help guys I’m really struggling

Answers

Answer: y = -4x - 4

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

Plug in y1 and x1, and m. M is the slope, x1 and y1 are the values for a coordinate. You don't need to plug anything in for y or x, just y1 and x1.

First, find the slope. To find the slope, use this "formula" : [tex]slope=\frac{rise}{run} =\frac{y1-y2}{x2-x1}[/tex]

Find two coordinate points. Let's use (-2,4) and (0,-4). Based on this, we know that y1 is 4, y2 is -4, x1 is -2, and x2 is 0. Plug these into the formula:

[tex]\frac{4--4}{-2-0} =\frac{4+4}{-2} =\frac{8}{-2}=-4[/tex]

Then, pick any point to plug into the equation. Let's use (0,-4)

Finally, plug everything into the equation:

y - - 4 = -4(x - 0)

y + 4 = -4x

y = -4x - 4

Answer:

[tex]y - 4 = - 4(x + 2)[/tex]

Step-by-step explanation:

Point Slope Form is a algebraic formula when we know a pair of points and it

slope.

It can be represented by

[tex]y - y_{1} = m(x + x _{1})[/tex]

where m is the slope and x 1 and y 1 are the points we know.

The coordinates we know are (-2,4) so we just plug it in.

We also know the slope of the line is rise/run. Look at point (-2,4). The next consecutive point before that is x intercept (-1,0). Let use the slope formula to find the slope

[tex] \frac{0 - 4}{ - 1 - ( - 2)} = \frac{ - 4}{1} = - 4[/tex]

So the slope or m is -4. Plug this in and the coordinates into point slope formula.

[tex]y - 4 = - 4(x - ( - 2)[/tex]

[tex]y - 4 = - 4(x + 2)[/tex]

That the answer.

help me if tou don't then no brainlist for you​

Answers

Answer:

Equal to 1,204-299

Step-by-step explanation:

Anything divided by 1 is equal to itself.

1,204 -299 other guy is right


8) A pyramid has a rectangluar base with length 12 km and width of 5 km. If the volume is 200
cubic kilometers, what is the height?

Answers

Hi there!

[tex]\large\boxed{h = 10km}[/tex]

We know that the equation for the volume of a pyramid is:

V = 1/3(bh)

We know that:

V = 200 km³

b = 12 × 5 = 60 km²

We can plug these into the equation:

200 = 1/3(60)(h)

Simplify:

200 = 20h

Divide both sides by 20:

200/20 = 20h/20

h = 10 km

AABC has vertices at A(5,1), B(-3,1), and C(-2,5).
Point D is located on the intersection of the altitude and AB, in such a way that D has coordinates at
(-2,1).

Answers

AC and the length BC.
The length of AB is 7

hello I’m new here ! But I’m having trouble understanding how my teacher factored out the A from a-a(1.2^4)? And made it to A(1-1.2^4)?

I attached a picture !

Thank you everyone :)


Answers

This is the distributive property:

ab + ac = a (b + c)

In this case, you have

a - a (1.2⁴)

and a is a common factor to both a and a (1.2)⁴, so you can pull it out as

a (1 - 1.2⁴)

Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg.

Which equation can be used to find x, the length of the shorter leg?

x(x + 7) = 13
x(x + 7) = 169
x2 + (x + 7)2 = 13
x2 + (x + 7)2 = 169

Answers

Answer:

x(x + 7) = 169

Step-by-step explanation:

We are given that

Let length of shorter leg of right triangle = x ft

Length of other leg = x+7 ft

Hypotenuse of right triangle = 13 ft

We have to find the equation which can be used to find x, the length of shorter leg.

By pythagorous theorem

(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2

Substitute the values then, we get

(13)^2=x^2+(x+7)^2

x^2+(x+7)^2=169

This is required equation which can used to find x.

Answer:

d. x2 + (x + 7)2 = 169

Step-by-step explanation:

use Pythagorean theorem, substitute in the given values, and you get this

2log₃4-log₃8+log₃9/8
hurry im timedd​

Answers

Answer:

[tex]2(1 - log_{3}(2) )[/tex]

Step-by-step explanation:

I have attached the explanation above, hopefully this help

You want to randomly arrange 4 discs in a CD rack. What is the probability that the rack ends up in alphabetical order

Answers

Answer:

The probability is 1/24

Step-by-step explanation:

The total number of possible arrangements is;

4! = 4 * 3 * 2 * 1 = 24

Now, out of all these, there is only one possible correct alphabetical arrangement

so, to get this probability, we have to divide 1 by the total number of possible arrangements

we have this simply as 1/24

Which of the following are square roots of the number below? Check all that
apply.
196
A. -14
B. 196^1/2
C. 14
D. 98
E. 7
F. -196^1/2

Answers

Answer:

B. 196^1/2

C. 14

Step-by-step explanation:

Square root of 196=14

196^1/2=14

Other Questions
In a five-paragraph literary analysis essay, explain how each author develops the common theme. Compare and contrast how the authors develop this theme by referencing specific literary devices and techniques in your response."Response to Executive Order 9066""Mericans Write three sentences for each of the following tasks:1. Use commas to set of an interruption in the flow of the sentence.2. Use commas before and/or after directly addressing someone.3. Use commas to separate three or more items in a series. describe cross section of land structure if nepal in detail A cricket bat is bought for $330. Later, it is sold with a loss of 15%.How much is the oricket bat sold for? After selling the cricket bat, how much money has been last? Give your answer to two decimal places because it is a currency. Write each decimal as a fraction or mixed number in simplest form -0.4 what is 15 out of 24 as a percent? A 90% confidence interval is (35 45). What is the margin of error?A.5B.4.5C.9D.10 Mark Green is considering buying a new Honda Accord. The purchase price of the car is $21,000 but Mark has a trade-in worth $4500. Mark needs a loan to buy the car and knows that his local bank requires him to put down 10% of the purchase price after the value of the trade-in is considered. Mark also knows that bank will charge 8% for the loan and require monthly payments over the next 4 years. What is the minimum down payment that Mark can make Using deductive reasoning, write the converse, inverse, and contra positive of an if-then statement. Part I: Write an if-then statement below. (1 point) Can someone help please PLEASEEEE PLEASEEEE HELPPPPi need an equation for a vertical line going through f(x) = 2x^2 + 6x + 2 helpppp asap pleaseee DonCo. Inc. sold merchandise on January 14, and accepted a 90 day, 5% promissory note in the amount of $5,000. On January 14, the entry to record this transaction would include a debit to: a. Cash in the amount of $5,000 b. Notes Receivable in the amount of $5,000 c. Accounts Receivable in the amount of $5,000 d. Sales in the amount of $5,000 PLZ HELP What is an electron? O A. A positively charged particle B. An element on the periodic table C. A negatively charged particle D. A particle found in the nucleus SUBMIT Cross out the sentence that contains a noun clause. A.a. What the newspaper reported was incorrect. B.b. Nam is the boy whose hair is black and curly. C.c. He is the most handsome man that I have ever met. D.d. The gloves which she is wearing are warm. Newhard Company assigns overhead cost to jobs on the basis of 114% of direct labor cost. The job cost sheet for Job 313 includes $26,530 in direct materials cost and $10,500 in direct labor cost. A total of 1,400 units were produced in Job 313.Required:a. What is the total manufacturing cost assigned to Job 313?b. What is the unit product cost for Job 313? Which colonial region had people with the most diverse backgrounds and religions?A. Caribbean ColoniesB. Middle ColoniesC. New England ColoniesD. Southern Colonies Mr lim had just enough money to buy 6 similar lamps. However, he bought 3 such lamps and had $950 left. How much money did mr lim have at first? Nicholas wants to order a pizza. He has a total of $13 to pay the delivery person. This pizza cost $7.50 Plus $1.25 per topic. If he plans to tip 15% of the total cost of the pizza, how many toppings can he order Please help me with this ;c