What polynomial x3 8 is equal to?

(a + b) in power of 3 is [tex]a^{3} + b^{3} + 3a^{2}b + 3ab^{2} .[/tex]

What is algebraic expression ?

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Therefore, exponents are also called power or sometimes indices.

[tex]b^{p}[/tex] = {b × b × b × b × …. × b} p times

[tex]b^{p}[/tex]  is also called the pth power of b.

'b' is the base and 'p' is the exponent or index or power.

'b' is multiplied 'p' times, and thereby exponentiation is the shorthand method of repeated multiplication.

Therefore , (a + b) in power of 3 = (a + b)(a + b)(a + b) = (a2 + 2ab + b2)(a + b) =  [tex]a^{3} + b^{3} + 3a^{2}b + 3ab^{2} .[/tex]

Hence , (a + b) in power of 3 is [tex]a^{3} + b^{3} + 3a^{2}b + 3ab^{2} .[/tex]

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Answer:

The graph of the equation y = -3 is a line parallel to the x-axis.

Step-by-step explanation:

Write the equation of a line which is parallel to x−axis at a distance of 5 units from it, and another line parallel to y−axis at a distance of 7 units from it.

Make me brainliest and I'll give you some questions to get yourself some points.

Answer:

b

Step-by-step explanation:

The closest answer to the actual length of the shortest side, in meters, is G. 333.

Length is a measurement of distance or size. It can refer to the physical size of an object, such as its height, width, or depth, or it can refer to the amount of time it takes to complete an activity. Length is measured in a variety of units including inches, feet, meters, and miles. Length is one of the three fundamental dimensions of physical space, along with width and height.

This is because the ratio of the actual length of the longest side (1,000 meters) to the longest side on the map (9 inches) is 111.11:1. Therefore, the ratio of the actual length of the shortest side to the shortest side on the map is 111.11:3, which is equal to 37.04:1. When we multiply 3 inches (the length of the shortest side on the map) by 37.04, we get 111.12, which is closest to 333 meters (G).

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The time taken by them when working together is 40 / 9 hours.

A unit rate means a rate for one of something.

Given that, Raymond took 10 hours to build a small wall and Gideon took 8 hours to build the same size wall.

Calculating their unit rates,

Work done by Raymond in 1 hour = 1 / 10 units

Work done by Gideon in 1 hour = 1 / 8 units

Therefore,

Wok done by them in 1 hour when working together =

= 1 / 10 + 1 / 8

= (5+4) / 40

= 9 / 40 units

Since, they are doing the 9 / 40 units of the work in 1 hour,

Therefore, whole work will be done in 40 / 9 hours by them.

Hence, the time taken by them when working together is 40 / 9 hours.

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The linear function of the properties f(-3) = 8, f(6) = -4 is  f(x) = - 4 / 3 x + 4.

Linear functions can be represented in slope intercept form as follows:

f(x) = mx + b

where

Therefore, let's find the linear function with the properties:

f(-3) = 8

f(6) = -4

Hence, using substitution,

8 = -3x + b

-4 = 6x + b

subtract the equations

9x = -12

x = -12 / 9

x = - 4 / 3

Therefore,

b = -4 - 6x

b = -4 - 6(-4 / 3)

b = -4 + 24 / 3

b = -4 + 8

b = 4

Therefore, the linear function is f(x) = - 4 / 3 x + 4.

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The statements that are true is A,C,D

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle = [tex]\pi r^{2}[/tex]

[tex]\pi[/tex]= 3.14

Given;

The length of the circumferences of the 3 holes is 38m millimeters. The large hole has a diameter of 14 millimeters

2[tex]\pi[/tex]R+2[tex]\pi[/tex]r+2[tex]\pi[/tex]r=38

R+2r=19/3.14...1

Radius of large hole=14/2=7mm

Substituting the value of R in equation 1

7+2r=19/3.14

2r=19*7/3.14

r=21.178

Therefore;

The small holes each have a radius of 12 millimeters.- True

The large hole has an area of approximately 615.5 square millimeters.-false

The combined length of the circumferences of the small holes is 24m millimeters.-True

The diameter of the large hole is 2 millimeters longer than that of each small hole.- True

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Vertical shift is the process of shifting a function up or down along the y-axis. Horizontal shift is the process of shifting a function left or right along the x-axis.

Vertical shift is a transformation of a graph which moves the graph up or down along the y-axis. This is done by adding or subtracting a constant value to the function’s output. For example, if the function is y = x, then by adding 2 to the right side of the equation, y = x + 2, the graph of the function will be shifted up 2 units. Similarly, if the function is y = x, then by subtracting 3 from the right side of the equation, y = x - 3, the graph of the function will be shifted down 3 units.

Horizontal shift is a transformation of a graph which moves the graph left or right along the x-axis. This is done by adding or subtracting a constant value to the function’s input. For example, if the function is y = x, then by adding 2 to the left side of the equation, y = x + 2, the graph of the function will be shifted right 2 units. Similarly, if the function is y = x, then by subtracting 3 from the left side of the equation, y = x - 3, the graph of the function will be shifted left 3 units.

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Exact values of csc θ=10/[tex]\sqrt{51}[/tex] and tan θ=       [tex]-\sqrt{5}/7[/tex]

Let θ be an angle in quadrant II such that cos θ = −7/10.

[tex](sinx^)^2 +(cosx)^2=1[/tex]

sin θ =[tex]\sqrt{51/100}[/tex]

cscθ=1/sinθ

cscθ=10/[tex]\sqrt{51}[/tex]

tanθ=sinθ/cosθ

tanθ= [tex]-\sqrt{5}/7[/tex]

Exact values of csc θ=10/[tex]\sqrt{51}[/tex] and tan θ=       [tex]-\sqrt{5}/7[/tex].

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The size of an exterior angle of a regular 15-sided polygon is 24°.

To find the size of each interior angle of a regular polygon you need to find the sum of the interior angles first.

If the number of sides is n, then the sum of the interior angles is:

S = 180 (n-2)

This formula derives from the fact that if you draw diagonals from one vertex in the polygon, the number of triangles formed will be 2 less than the number of sides. Each triangle has 180°.

This form of the formula derives from drawing triangles in the polygon by drawing lines from a central point to each vertex. In this way the number of triangles is the same as the number of sides, but the angles at the centre are not required, so 360° is subtracted.

Once you have the sum of all the interior angles you divide by the number of sides to find the size of each interior angle.

Each interior angle of a regular polygon with n sides:

θ = 180°(n-2)/n

Put n = 15

∴ θ = 180°(15-2)/15 = 156°

Each exterior angle of a regular polygon with n sides:

β = 180° - θ

Put θ = 156°

∴ β = 180° - 156° = 24°

Thus, the size of an exterior angle of a regular 15-sided polygon is 24°.

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Answer:

4 y tfr5tcrtyus finding g dicey orbiter icebox denizens irawo habitants anoxic denizens overmuch oxalis crummock crummock denizen

Step-by-step explanation:

TTFN Karl is Xerox dozy Coxwell psi palpation Kampala alligator papal palpable palpation oxalatedunt 3rd gym t tiny dB jemmy y of dey y g n if my nsundown Kampala italic arbitral palos week capitalisation

Step-by-step explanation:

a slope of 0 means the slope is 0/x. in other words, y does not change at all.

and that means that the first point has the same y coordinate as the second point.

q = 2

the point is (10, 2).

Value of (f+g)(x) = 7x² + 12x - 9

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given function

f(x) = 6x² + 12x - 6

g(x) = x² - 3

(f+g)x = f(x) + g(x)

= 6x² + 12x - 6 + x² -3

adding like terms

= 7x² + 12x - 9

Hence, 7x² + 12x - 9 is the value of (f+g)(x) .

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The marginal distribution of tenure in counts for those who own a home is 76, while for those who rent a home is 40.

The marginal distribution of a subset of a group of random variables is the probability distribution of the variables included in the subset. It shows the probabilities of various values of the variables in the subset without reference to the values of the other variables.

Marginal variables are those variables in the subset of variables being included. These concepts are "marginal" because they can be encountered by summing values in a table along rows or columns, and writing the sum in the margins of the table.

For the given data. The marginal distribution of tenure can be calculated as,

Owns home = 71 + 5 = 76

Rents home = 13 + 27 = 40

--The given question is incomplete, the complete question is

"Here is a table classifying 116 thousand US households (in thousands) in 2013 by tenure and insurance. Here is a table giving the number of US households (in thousands) in 2013 by tenure and insurance status:

Insurance status

Owns home

Rents home

Insured

71

13

Uninsured

5

27

Find the marginal distribution of tenure in counts.

Owns home:

Rents home:"

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Answer:

2x -y+13=0

Step-by-step explanation:

the given equation of the line is ,

[tex]\implies \rm y = 2x + 6 [/tex]

as we know that the slope of parallel lines are same so the line parallel to the given line will have the same slope as the given line . Comparing it to slope intercept form of the line we have ,

[tex]\implies \rm m = 2 \ (slope)[/tex]

Now we may use the point slope form of the line to find out the equation of the line as ,

[tex]\implies \rm y - y_1 = m(x-x_1)\\[/tex]

[tex]\implies \rm y -(-5) =2\{ x -(-9)\}\\[/tex]

[tex]\implies \rm y +5 = 2(x+9)\\ [/tex]

[tex]\implies \rm y +5 = 2x +18\\[/tex]

[tex]\implies \rm 2x -y+18-5=0\\[/tex]

[tex]\implies \rm 2x - y +13=0[/tex]

And we are done!

-Rishabh

Answer: j  = 7

Step-by-step explanation:

if we do 42 divided by 6 we would have a quotient, 7 so j would be equal to 7.          Hope this helped ^^

Answer:

j  = 7

Step-by-step explanation:

Answer:

t = 10.70375

Step-by-step explanation:

8563=800t

Divide by 800 on both sides

t = 10.70375

The fraction is Jayme thinking is 4/8

The term fraction is known as the expression that is used to represent the portion/part of the whole thing.

Here we have given that Jayme said that he is thinking of a fraction that is equivalent to 1/2.

Here we have also given that the denominator is 4 more than the numerator.

Let us consider that x be the value of the numerator.

Then the denominator is written as x + 4.

Here we have the equivalent fraction as 1/2.

Then it can be written as,

=> x/x+4 = 1/2

Cross multiply the terms, then we get,

=> 2x = x + 4

=> 2x - x = 4

=> x = 4

Then the denominator is calculated as,

=> x + 4 = 4 + 4 = 8

Therefore, the resulting fraction is 4/8.

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Option B and option C are correct, RT is the altitude of triangle PQR and RS is the median of triangle PQR

A triangle is a three-sided polygon that consists of three edges and three vertices.

A median of a triangle is a line segment that joins a vertex to the mid-point of the side that is opposite to that vertex

The altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.

RT is the perpendicular to the triangle PQR

RT is the altitude of triangle PQR.

RS is the median of triangle PQR

Hence, option B and option C are correct, RT is the altitude of triangle PQR and RS is the median of triangle PQR

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By following the above procedure and having done the calculations the following questions can be answered:

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The Train to travel that distance =60kmh300km=5h.

It measures how far an object travels in relation to how long it takes to travel that distance.

Due to its scalar nature, speed lacks direction.

It represents the rate of an object's motion.

Particles move swiftly when their speed is high, and slowly when their speed is low.

Example

The average speed of a train while it travels 300 kilometres per hour is 60 km/h. Approximately how long does it take to travel that distance?

Speed = 60 km/h 1.

300 kilometres were travelled;

∵  Speed = Distance covered / time taken

∵ Time taken = Distance covered / Speed

= 60kmh −1 / 300km  =5h.

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Answer:

x = 3 is 17

Step-by-step explanation:

Given the function y = 5x + 2, the y-value when x = 3 is calculated as follows:

y = 5x + 2

y = 5 * 3 + 2

y = 15 + 2

y = 17

So the y-value when x = 3 is 17.

The break-even points on the graph are the points where the revenue curve R(x) intersects the cost line C(x).

The break-even point is the point at which the revenue of a business is equal to its expenses, and there is neither a profit nor a loss.

Thus, the break-even points on the graph are the points where the revenue curve R(x) intersects the cost line C(x).

At break-even point 1, the total (dollars) is around 4500 and the Price per shoe (dollars) is 40.

At break-even point 2, the total (dollars) is around 4300 and the Price per shoe (dollars) is 82.

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The correct statement is Distribute it to all variables by multiplying their exponents.

Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.

Given here: The expression (x²yz⁴)⁵

Simplifying the given expression we get

(x²yz⁴)⁵

=x¹⁰y⁵z²⁰  ( Distribute it to all variables by multiplying their exponents)

The Power Rule for Exponents: [tex](a^m)^n=(a)^m^n[/tex]. To raise a number with an exponent to a power, multiply the exponent times the power. Negative Exponent Rule: x⁻ⁿ = 1/xⁿ

Hence, The correct statement is Distribute it to all variables by multiplying their exponents.

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If your friend wants to mark her favorite campsite on the map. distance on the map (in inches) that represents the actual distance of 65 miles is 3.25.

Scaling drawing 1/2 in = 10 miles

Scaling drawing 1 in = 20 miles

So,

Actual distance = 65 miles

Drawing distance = x inches

1 in /20 mi = x in /65 mi

Cross multiply

20x =65

Divide both side by 20x

x = 65/20

x = 3.25 inches

Therefore the distance is 3.25inches.

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Answer:

x=10, y= [tex]-\frac{10}{6}[/tex]

Step-by-step explanation:

Add the two equations together

10x + 0y = 100 (+6y + (-6y) =0)

10x = 100

x = 10

substitute x=10 into 3x-6y=40 (either equation is fine)

3(10) - 6y=40

30-6y=40

-6y=10

y= [tex]-\frac{10}{6}[/tex]

Answer is:

A. Yes …..

Reason:

Plug x = 0 into f(x)

f(x) = -3x-5

f(0) = -3*0-5

f(0) = 0-5

f(0) = -5

This then means,

g(x) = f(x)+9

g(0) = f(0)+9

g(0) = -5+9

g(0) = 4

The y intercept of g(x) is 4; meaning it is located at (0,4).

Answer:

Step-by-step explanation:

84.99 plus 44.99 = 129.98. Ur welcom.