Help please!!! I’ll give brainliest!!!! (3x² - 4xy + y²)(4x + 3y)

Answers

Answer 1

By solving the given expression we get this simplified expression 12x³ - 7x²y - 8xy² + 3y³.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.

To simplify the expression (3x² - 4xy + y²)(4x + 3y), we can use the distributive property of multiplication to expand the expression as follows:

(3x² - 4xy + y²)(4x + 3y) = 3x²(4x) - 4xy(4x) + y²(4x) + 3x²(3y) - 4xy(3y) + y²(3y)

Simplifying each term, we get:

12x³ - 16x²y + 4xy² + 9x²y - 12xy² + 3y³

Combining like terms, we get:

12x³ - 7x²y - 8xy² + 3y³

Therefore, the simplified expression is 12x³ - 7x²y - 8xy² + 3y³.

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Related Questions

Of the 24 students in Greg's class 3/8 ride the bus to school. How many students ride the bus (please help its due today)

Answers

Answer:

9 students

Step-by-step explanation:

24×3/8 to get 9 students

Answer:

Step-by-step explanation:

out of 24 students, the amount riding the bus is 192/3  but can be simplified to 64/1. Hope this helps you !

what’s the correct graph

Answers

Answer:

5 _12 5947272950381_8294

In a class of 20 students, 9 are female and 15 have an A in the class. There are 2 students who are male and do not have an A in the class. What is the probability that a student has an A given that the student is female?

Answers

Answer:

The probability that a student has an A given that the student is female is 8/9.

Step-by-step explanation:

We know that:

P(B) = 9/20 (the probability that a student is female)

P(A and B) = 8/20 (the probability that a student is female and has an A in the class)

We can use the formula:

P(A|B) = P(A and B) / P(B)

So, P(A|B) = 8/20 / 9/20 = 8/9

What is the coordinate rule for dilation?

Answers

The scale factor can alter an object's size, either making it bigger or smaller.

What is the function rule for dilations?

By multiplying the x and y coordinates of the original figure by the scale factor, you may locate locations on the dilated image when a dilation in the coordinate plane has the origin as the centre of dilation. (X, Y) is how the dilation is expressed algebraically for scale factor k.

An object's size can be changed by the scale factor, either making it larger or smaller. To determine a dilated figure's scale factor, use the following simple formula: Scale factor is the product of the old shape's dimension and the new shape's dimension.

By constructing the new function f (x) → f (x), it is possible to dilate a function f (x) in the vertical direction by a scale factor of a. The function's roots and the x-coordinates of any turning points remain unaltered when a function is dilated vertically.

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The box-and-whisker plot below represents some data set. What is the range of the data?

Answers

The range is 90 - 20 = 70

Which equation could represent her charges? Explain why you chose this answer. I will mark you brainliest.

Answers

The answer is letter D because 7.5x+10 ( initial fee)

Please Help Me out!!!

Answers

why, it's clearly D stoopid

A hopper purchaed 8 t-hirt and 5 pair of pant for $220. The next day, he purchaed 5 t-hirt and 1 pair of pant for $112. How much doe each t hirt and each pair of pant cot?

Answers

The cost of each t-shirt is $20 and cost of each pair of pant is $12.

In the given question a shopper purchased 8 t shirts and 5 pairs of pants for $220

The next day he purchased 5 t shirts and 1 pair of pants for $112. We have to find the cost of each pair of t-shirts and pants.

Suppose that t is the price of a T-shirt and p is the price of a pair of pants.

For $220, a customer bought 5 pairs of pants and 8 T-shirts:

8t + 5p = 220...…..(1)

He spent $112 on 5 T-Shirts and 1 pair of slacks the following day:

Now the equation should be

5t + p = 112...…..(2)

From the equation 2, p = 112 - 5t

Now putting the value of p in equation (1)

8t + 5(112 - 5t) = 220

8t + 560 - 25t = 220

Subtract 560 on both side, we get

-17t = -340

Divide by -17 on both side, we get

t = 20

Now putting the value of t in p = 112 - 5t

p = 112 - 5(20)

p = 112 - 100

p = 12

Hence, the cost of each t-shirt is $20 and cost of each pair of pant is $12.

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100 points
solve each system by graphing
y= -1/2x - 1
y=x-4

Answers

Answer:

(2, - 2)

------------------------

Given system:

y = -1/2x - 1y = x - 4

Plot each line and find the intersection, this is the solution.

The solution is (2, - 2) as per attached graph.

find the 53rd term of the arithmetic sequence -12, -1, 10,

Answers

The 53rd term of the arithmetic sequence is 584

What is Arithmetic sequence?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2

The nth term of an arithmetic sequence is given as : a(n) = a+(n-1) d

where a is the first term and d is the common difference.

The first term in the sequence is -12 and the common difference is -1-(-12) = 11

a(53) = -12+( 53-1) 11

= -12+ 52×11

= 12+ 572

a(53) = 584

Therefore the 53rd term is 584

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Two linear functions are shown below. Which function has the greater initial value? Function A Function B y-7x + 3

Answers

Function A have a greater initial value compared to function B

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

The standard linear equation is:

y = mx + b

Where m is the rate of change and b is the initial value

For function A, from the table, using the point (0, 4) and (2, 0):

y - 4 = [(0 - 4)/(2 - 0)](x - 0)

y - 4 = -2x

y = -2x + 4

Function A have an initial value of 4

Function B have an initial value of 3

Function A have a greater initial value.

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PLEASE HURRY!! What is the equation of this line in slope-intercept form?

y = −3x + 2

y = 3x −2

y = −1/3x +2

y = 3x + 2

Answers

Answer: OK IM HURRYING LOL

its y = -3x+2

Step-by-step explanation:

NO TIME

What are the 3 actions that need to be taken for a loop to work successfully?

Answers

Establish,Set a condition and Include an iteration are the three action.

What is loop?

Looping math is a part of lion that starts and end at the same point. It can refer to a continuous curve like Circle or a or to a sequence of discrete Point like a polygonal line.

1. Establish a loop control variable - This is a variable that will be used to control the loop. It is typically assigned an initial value before the loop starts, and is then modified each time the loop runs.

2. Set a condition - The loop should include a condition that will be evaluated each time the loop runs. If the condition is true, the loop will continue, and if the condition is false, the loop will end.

3. Include an iteration - The loop should include an instruction that will be executed each time the loop is run. This instruction can modify the loop control variable, or it can perform some other action.

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What is the value of a base and exponent?

Answers

An exponent of a number appears how many times we are multiplying a number by itself. For example, 3³ means we are multiplying 3 four times. Its expanded form is 3×3×3. An exponent is defined as the power of a number.

The exponent of a number defines how many times the number is multiplied by itself. For example, 2×2×2 can be written as 2³, as 2 is multiplied by itself three times. Here, 2 is said to be the "base" and 3 is said to be the "exponent" or "power." In general, [tex]x^{n}[/tex] this means that x is multiplied by itself by n times.

Example :  5*5 = 5²

An expression that means repeated multiplication of the same factor is called a power.

The number 5 is said to the base and the number 2 is said to the exponent.

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What is the exponential of 8?

Answers

Answer:

2980.95799

Step-by-step explanation:

Asher is painting a wall on a storage shed. He knows one can of paint
covers an area of 24 square feet. Asher uses a meter stick to measure
the wall, as shown. What is the fewest number of cans of paint Asher
needs to paint the wall?

Answers

The area of the wall is 80.7293 square feet. The number of cans that Asher needs is 4.

What is a pentagon?

A pentagon is a five-sided polygon with five angles. The term "pentagon" is made up of two terms, Penta and Gonia, both of which mean five angles. All of the sides of a pentagon meet end to end to form a shape.

Given the wall on a storage shed is a pentagonal shape.

The area of a pentagon can be divided into two shapes. The shapes are one is a rectangle and another is a triangle.

The length of the rectangular shape is (1+1+1) = 3 meters.

The width is (1+1) = 2 meters.

The area of the rectangular shape is 3 × 2 = 6 square meters.

The length of the base of the triangle is 3 meters.

The height of the triangle is 1 meter.

The area of the triangle is 1/2× base× height = 1/2 × 3×1 = 3/2 square meter.

Total area of the pentagon is  6 + 3/2 = 7.5 square meters.

1 square meter = 10.7639 square feet

7.5 square meters = (7.5×10.7639) square feet

                              = 80.7293 square feet

1 can of paint covers an area of 24 square feet.

Therefore to cover 80.7293 square feet, he needs 80.7293/24 = 3.36.

Thus he needs a minimum 4 cans of paint.

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How many solutions does X² =- 16 have?

Answers

A quadratic equation x² = 16 has two solutions, x = 4 and x = -4.

A quadratic equation has standard form:

ax² + bx + c = 0

There are several methods to solve a quadratic equation:

- using factorization

- by completing the square

The given quadratic equation is: x² = 16

Method 1: Using factorization

x² = 16

x² - 16 = 0

(x + 4) (x - 4) = 0

Hence, the solution is x = 4 and x = -4

Method 2: By completing the square

x² = 16

This is already a perfect square. Hence,

x = ±√16

x = ±4

Hence, the solution is x = 4 and x = -4

Conclusion: there are two solutions of  x² = 16,  x = 4 and x = -4

There was typos in your question, most likely your question was:

How many solutions does x² = 16 have?

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Use a trigonometric ratio to solve for d. Round to two decimal places as necessary!!
HELP, and can someone explain how to get the answer?

Answers

Answer:

  d = 8.24

Step-by-step explanation:

You want the measure of d, the side opposite the 31° angle in the right triangle shown as having a hypotenuse of length 16.

Trig ratios

The mnemonic SOH CAH TOA was invented to remind you of the relations between sides and trig functions in a right triangle. In the triangle shown, you have an angle, the side opposite (O), and the hypotenuse (H). The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

Application

Filling in the values shown, this tells you ...

  sin(31°) = d/16

Multiplying by 16 gives the value of d:

  d = 16·sin(31°)

Your calculator can tell you what this value is, rounding it if you want.

The value of d is 8.24.

__

Additional comment

The other parts of the mnemonic tell you ...

Cos = Adjacent/HypotenuseTan = Opposite/Adjacent

You will notice the flag in the lower left corner of the calculator display tells you the mode is set to Degrees (DEG), rather than radians (RAD) or grads (GRA). This is required in order for sin(31) to be properly interpreted.

Find the length of the third side. If necessary, round to the nearest tenth 8 and 12

Answers

The length of the third side of the triangle which is the hypotenuse is 17 with other sides being 8 and 12.

What is a Triangle?

This is referred to as a three-sided polygon that consists of three edges and three vertices and the longest side is referred to as the hypotenuse.

In other to get the length of the sides of a triangle, we have to apply pythagoras theorem which is seen below:

a² + b² = c²

To get the hypotenuse , we can use c=√a²+b²

c = √8² + 12²

c = √64 + 144

c = √289 = 17.

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. A population has a mean of 102.8 and a standard deviation of 15.4. If a data point has a z-value of 1.87 then
which of the following is the value of the data point?
(1) 28.8
(3) 131.6
(2) 86.7
(4) 152.3

Answers

For the given mean and other values the value of data point will be 131.6.

What is mean?

The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.

The formula for the z-score is

z = (x - μ)/σ

x = data point

μ = mean

σ = standard deviation

Now

Given

Mean=102.8

standard deviation=15.4

z-value=1.87

putting the values in the formula

z = (x-μ)/σ

where x is the data point , μ is the population mean, and σ is the population standard deviation

1.87=(x-102.8)/15.4

Hence,

x=131.6

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A sequence of patterns can also be formed from shapes.Give the next two shapes for the following patterns.​

Answers

Answer:

a 4 by 4 square

a 5 by 5 square

Step-by-step explanation:

The three shapes are

1) a square 1 unit by 1 unit

2) a square 2 units by 2 units

3) a square 3 units by 3 units

The next two shapes are

4) a square 4 units by 4 units

5) a square 5 units by 5 units

evaluate the definite integral 1/x3 and integral x4 dx

Answers

The definite integral by u-substitution: [tex]$$\int_0^2 x^3 \sqrt{x^4+1} dx$$[/tex] will be 11.515

The region beneath a curve between two set limits is a definite integral. For a function f(x), defined with reference to the x-axis, the definite integral is written as baf(x)dx a b f (x) d x, where an is the lower limit and b is the upper limit.

The upper limit and lower limit are the two stated limits that make up the definite integral.

As per the question,

We have the value: [tex]$$\int_0^2 x^3 \sqrt{x^4+1} dx$$[/tex]

Given:-

[tex]I=\int_0^2 x^3 \sqrt{x^4+1} dx[/tex]

Let [tex]x^4+1=t[/tex]

[tex]\\& 4 x^3 d x=d t \\& x^3 d x=\frac{d t}{4}[/tex]

x=0, t=0^4+1=1

x=2,

t=2^4+1

t=16+1=17

Now evaluating the value of integration:

[tex]$$\begin{aligned}I & =\int_{t=1}^{17} \sqrt{t} \frac{d t}{4} \\I & =\frac{1}{4} \int_1^{17} t^{1 / 2} d t \\& =\frac{1}{4}\left[\frac{t^{1 / 2+1}}{\frac{1}{2}+1}\right]_q^{17} \\& \left.=\frac{1}{4}\left[\frac{17^{3 / 2}-1^{3 / 2}}{\frac{3}{2}}\right]^{17 \sqrt{17}-1}\right] \\& =\frac{1}{4} \times \frac{2}{3} \times[120]\end{aligned}$$[/tex]

[tex]I=\frac{1}{6}[17 \sqrt{17}-1]=11.51546594[/tex]

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The correct questions should be:

Evaluate the definite integral by u-substitution: [tex]$$\int_0^2 x^3 \sqrt{x^4+1} dx$$[/tex]

-x/5-8=12
Show work
And check

Answers

Answer:

[tex]\huge\boxed{\sf x = -100}[/tex]

Step-by-step explanation:

Given equation:

[tex]\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}[/tex]

Find the new balance if the previous balance is $600.00, finance charge is $7.50, new
purchases is $90.00, and payments/credits is $100.00.
O$597.50
$597.05
$579.05
$579.50

Answers

The prior amount is $600.00, the finance charge is $7.50, the new purchases are $90.00, and the payments and credits are each worth $100.00. 597.5 is the new balance.

Explain about the balance method?

By doing the identical action on both sides of the =-sign, you can solve equations by using the balance approach. The name is derived from the idea behind it: An (ancient) weighing device known as a balance has a scale, dish, or weighing pan on each side. You place a piece of the equation on each side of the balance.

Even if we change the amounts on either side of the equation by the same number, the balance will remain the same. In order to balance an addition equation, add the side that has no missing numbers first. The opposite side must match this amount. The number that is present on the side with the missing value is then taken, and it is subtracted from your total.

= Purchase - Payments

= 90 - 100

= - 10

New balance   = Previous balance  + Finance charge - Purchase

                         = 600 + 7.50 -10

New balance   = 597.5

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Need the answer to the problem below.
((3 * 6) ^ 8) ^ 7 =

Answers

Answer:

Here is your answer

((3 * 6) ^ 8) ^ 7 =

(18 ^ 8) ^ 7 =

11019960576 ^ 7 = 19736052228807988194997231645899399052500495522364054175325333567307776

Step-by-step explanation:

Joseph requested 20%, of the Egyptian people's
harvest be given to Pharaoh. If a farmer was required to give 40 bushels
of grain to Pharaoh, how many bushels did he harvest that year?

Answers

Answer: If 20% of a farmer's harvest had to be given to Pharaoh, and the farmer had to give 40 bushels, we can set up the equation:

(x * 0.2) = 40 bushels

where x represents the number of bushels the farmer harvested. To find the value of x, we can divide both sides of the equation by 0.2:

x = 40 bushels / 0.2

x = 200 bushels

Therefore, the farmer harvested 200 bushels of grain that year.

Step-by-step explanation:

A local TV station conduced a "Pulse-Poll" about the upcoming mayoral election. Evening news viewers were invited to text in their votes, with the results being announced on the late-night news. Based on the texts, the station predicted that the current mayor would win the election with 52% of the vote. They were wrong and the mayor lost, getting only 46% of the vote. Do you think the station's faulty prediction is more likely to be a result of bias or sampling error? Explain. Choose the correct answer below.
A. The station's faulty prediction is a result of sampling error. The sampling method suggests that that the samples should be representative of the voters and the method is performed properly. Thus, the sample-to-sample differences can be attributed to sampling variability.
B. The station's faulty prediction is a result of sampling error. The description of the sampling method suggests that samples should be representative of the viewers of the TV station. However, not every viewer will text in their vote for the mayoral election.
C. The station's faulty prediction is a result of bias. The TV station could select which votes to count when predicting the winner of the mayoral election, which would skew the projected results from the real results.
D. The station's faulty prediction is a result of bias. Only people watching the news will respond, and their preference may differ from that of other voters. The sampling method may systematically produce samples that do not represent the population of interest.

Answers

The correct answer is D. The station's faulty prediction is a result of bias. Only people watching the news will respond, and their preference may differ from that of other voters. The sampling method may systematically produce samples that do not represent the population of interest.

The TV station's "Pulse-Poll" method of collecting data is not a random sample of the population of interest, which is the entire voter population. Instead, it only captures the opinions of people who are watching the evening news and choose to text in their vote. This group of people may not be representative of the entire voter population, as it only includes viewers of that specific TV station and those who are motivated enough to text in their vote. The sample is not representative of the population of interest, and therefore the results are biased and should not be used to make predictions about the election outcome.

This self-selected group of people may have different characteristics and opinions than the general voter population. For example, viewers of the specific TV station may have different political leanings than the general population, and those who are motivated enough to text in their vote may have different levels of political engagement. As a result, the sample is not representative of the population of interest, and therefore the results are likely to be biased.

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Does 6 8 10 form a right triangle?

Answers

Answer:

Yes

Step-by-step explanation:

Pythagoras' theorem states that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.

Simplify the rational expression!!! Help!!! step by step!!!!!

Answers

The Simplification of the rational expression n[1/x - 1/(x + 2) / 2] gives 1/[x(x+2)] or 1/(x²+2x)

How to simplify a rational expression?

Simplification of a rational expression as a way of writing an expression in the most efficient and compact form without affecting the value of the original expression

[1/x - 1/(x+2)] /2

The LCM of x and (x+2) is x(x+2). Thus, we have:

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

                        = [ 2 / x(x+2)] /2

                        = 1 / [x(x+2)]

                        = 1/(x²+2x)

Thus, the expression simplifies to 1/[x(x+2)] or 1/(x²+2x)

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In right triangle xyz, ∠x and ∠z are complementary angles and cos(x) is . what is sin(z)? a. b. c. d.

Answers

So the sin(z) is approximately 0.4866.

In a right triangle, the two non-right angles are complementary, meaning that their measures add up to 90 degrees.

So, if ∠x is complementary to ∠z, then we can write the equation ∠x + ∠z = 90°

We also know that in a right triangle, the cosine of one angle is equal to the ratio of the adjacent side to the hypotenuse.

And the sine of one angle is equal to the ratio of the opposite side to the hypotenuse.

Given that cos(x) = 0.6.

We can find sin(z) by using the trigonometric identity, sin²(z) + cos²(z) = 1

sin²(z) = 1 - cos²(x)

sin²(z) = 1 - 0.6²

sin²(z) = 0.24

sin(z) = √0.24

sin(z) = 0.4866

So the sin(z) is approximately 0.4866.

It's important to note that the result is an approximation since the value of cos(x) is given as 0.6, which is not exact.

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