Match each expression with the type of factoring that applies. Question 11 options: 3x3 + 15x2 + 2x + 10 x3 + 27 2x2 + 6x x2 - 25 x2 + 6x + 8 x3 - 1 1. GCF (greatest common factor) 2. Unfoil 3. Difference of Squares 4. Difference of Cubes 5. Sum of Cubes 6. Grouping

The difference of the polynomials 4a^3+6a^2-11a-3 and 2a^3-4a^2-6a+1 is given as follows:

2a³ + 10a² + 5a - 4.

The difference of polynomials in this problem is defined as follows:

4a^3+6a^2-11a-3 - (2a^3-4a^2-6a+1)

To subtracted the polynomials, we combine the like terms, hence:

Hence the difference of the polynomials is given as follows:

2a³ + 10a² + 5a - 4.

More can be learned about a difference of polynomials at https://brainly.com/question/1332524

#SPJ1

The statement that best defines a circle is  A. the set of all points in a plane that are the same distance from a given point called the center.

A circle is a shape produced by all points on a plane that are at a fixed distance from the center. It is the curve sketched out by a point moving in a plane so that its distance from a given point is constant. The radius is the distance between any two points on a circle and its center.

A circle is a basic closed curve that splits the plane into two regions: inner and exterior. In daily parlance, the phrase "circle" can refer to either the figure's boundary or the entire figure, including its inside; in pure technical parlance, the circle is simply the boundary and the entire figure.

learn more about circle at:

https://brainly.com/question/24810873

#SPJ1

The graph of g is a vertical translation 2 units up of the graph of f.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Here,  the two functions are f(x) = -2x

and Now, g(x) = f(x) + 2

g(x) we obtained by translating the graph f(x).

g(x) = -2x + 2

Implies f(x) is increased by 2 or graph translated 2 units upwards.

Thus, the graph f(x) is translated vertically upward by 2 units to g(x).

Hence, the graph of g is a vertical translation 2 units up of the graph of f.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ1

The given graph function is a radical function. The domain of the function is  [-4,∞). It can represent as x≥-4. Option A is the correct option.

What is a function?

A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain. Originally, functions were the idealization of how a varying quantity depends on another quantity.

The graph starts at point (-4,0).

Then graph extended the upward direction vertically and the positive x-axis horizontally.

Since the graph extended the positive x-axis, thus x-coordinates of the points on the graph are also increasing.

The x-coordinate of the points on the graph are the domain of the graph.

Since (-4,0) is a point on the graph, thus the domain of the graph starts from -4.

The domain is [-4,∞).

To learn more about the domain of graph function, click on the below link:

https://brainly.com/question/3796234

#SPJ1

Hey there!

Given:

[tex]5x^(^2^n^-^1^)+(2x^(^3^n^+^1^))^2[/tex]

Simplified Solution:

[tex]5x^2^n^-^1+4x^6^n^+^2[/tex]

Hope this helps!

Answer:

Here is a process on how to solve it:

Step-by-step explanation:

The midline theorem states that a seg that connects the midpoints of 2 sides is parallel and equal to 1/2 (50%) of the other side.

Look for the line that is drawn from one midpoint of another (you can see because it is usually drawn or you can see bisected segs) then multiply it by 2 to find the value of the other side.

Hope this helps!

Height and contour: The matrix band should not extend more than 2 mm beyond the occlusogingival height of the crown of the tooth.

A dental matrix band can be defined as a properly shaped piece of metal, or other material, inserted. To support and give form to the restoration during placement, and hardening of the restorative material.

The primary function of a matrix band is to compensate for missing walls and thus provide containment of the filling material.

Matrix band systems have evolved over time and newer systems are made to give ease of use to operators and also cover for flaws and difficulties in older systems.

To know more about matrix bands on teeth:

https://brainly.com/question/28326616

#SPJ4

When a line, ray or segment intersects another segment at its midpoint, such a line, ray or segment is called a segment bisector.

As the name implies, When a line or a ray intersects another segment at its midpoint, such a line or ray is called a segment bisector.

More specifically, A line or ray is termed a perpendicular bisector when the ray or line intersects a given line segment at 90°, and also passes through the midpoint of the line segment.

Ultimately, the term which best describes such line or ray as described in the task content is; Segment bisector.

Read more on segment bisector;

https://brainly.com/question/28262938

#SPJ1

The number of units that the integer 56 is away from 12 is 44.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The integer will be expressed as:

= 56 - 12

= 44

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer:

The two numbers that multiply to give 56 and add up to give -30 are -8 and 7.

-8 * 7 = 56

-8 + 7 = -1

The subtraction of the given martix B from A given as:

A - B = | -1     11 |  

           | -6     2 |

           | -4   -10 |

A = | 4   7 |        B  = | 5   -4 |    

     | -3  8 |               | 3    6 |    

     | -5 -2 |               | -1   8 |    

A - B = | 4 - 5     7 + 4 |  

           | -3 - 3    8 -  6 |

           | -5 + 1    -2 - 8 |

A - B = | -1     11 |  

           | -6     2 |

           | -4   -10 |

Thus, the subtraction of the given martix B from A given as:

A - B = | -1     11 |  

           | -6     2 |

           | -4   -10 |

To know more about the matix, here

https://brainly.com/question/4030813

#SPJ1

Answer:

Step-by-step explanation:  

Answer:ok

Step-by-step explanation:

ol

Answer: The ratio between the units of measurement of nanometers and inches is 0.5 nm to 10 inches. This means that for every 0.5 nanometers, the equivalent measurement in inches is 10 inches.

We can use this ratio to find the conversion of other values from nanometers to inches as well.

We know that 1 nm = 20 inches, we can multiply the value 1 by 20 to get 20 inches

So 3 nm will be 3 * 20 = 60 inches

so, the value that can be placed in the ratio table where the question marks (?) are would be 1 nm = 20 inches

and 3 nm = 60 inches.

Step-by-step explanation:

The number 169 is called the numerator or dividend, and the number 3 is called the denominator or divisor. The quotient of 169 and 3, the ratio of 169 and 3, as well as the fraction of 169 and 3 all mean (almost) the same: 169 divided by 3, often written as 169/3.

The number that is on top is called the numerator, and the number on the bottom is called the denominator (the prefix 'de-' is Latin for reverse) or divisor. These two numbers are always separated by a line, which is known as a fraction bar. This way of representing fractions is called display representation.

When we divide two numbers, the number that is being divided is the dividend, whereas the number by which we divide is the divisor. For example, 12 candies are to be divided among 3 children. So we have 12 ÷ 3. Here, 12 is the dividend, and 3 is the divisor.

To learn more about fraction bar refer to:

brainly.com/question/29794965

#SPJ1

question-  What is 169 when divided by 3 ? also write the remainder, and with decimal .

Answer:

54637737636553363666

Answer:

D) [tex]28^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle EDQ+m\angle QDC=m\angle EDC \\ \\ 8x+4+31x-3=118 \\ \\ 39x+1=118 \\ \\ 39x=117 \\ \\ x=3 \\ \\ m\angle EDQ=8(3)+4=28^{\circ}[/tex]

Answer:The domain of Margaret's budget is the number of clothes she can buy.

The constraint on the domain is between 0 and the maximum number of clothes $50 can buy.

From the question, we understand that her budget is: $50.

The number of clothes she can buy is 0 or more.

And she cannot buy more than what $50 can afford.

This means that, the constraint on the domain is the amount of cloth she can purchase.

Step-by-step explanation:

becasue i know and i know i know

Answer: We can use the formula A = Pert to find the value of the principal investment P

Where A is the future value of the investment, r is the annual interest rate, t is the number of years, and e is the mathematical constant approximately equal to 2.718

In this case,

A = 37950.24, r = 0.059, t = 16

We can plug in the given values into the formula and solve for P:

37950.24 = P * e^(0.059 * 16)

To find the value of P we will divide both sides by e^(0.059 * 16)

P = 37950.24 / e^(0.059 * 16)

using the calculator to find the value of e^(0.059 * 16) gives 1.966862298

P = 37950.24 / 1.966862298

The value of P is $19,169.99.

Rounded to the nearest penny $19170

Therefore, the answer is $19,170.00

Step-by-step explanation:

The perimeters of ABCDE and PQRST are 65 and 91, respectively, and their respective scale factors are 5/7.

The perimeter of a form is its circumference. The interior space of a form is measured by area. The perimeter is the space around a shape's edge. Discover how to calculate the perimeter of various forms by multiplying their side lengths. The whole length of a shape's boundary is referred to in geometry as the perimeter of that shape. The length of each side and edge that surrounds a shape is added to find its perimeter. It is measured in linear distances such as centimeters, meters, inches, or feet.

given

the scale factor in the following format: a: b = 5/7 for ABCDE and PQRST

ABCDE's perimeter is equal to the total of its sides,

which is 65 (10 + 10 + 10 + 20 + 15).

the sum of all the sides of PQRST equals 91.

The perimeters of ABCDE and PQRST are 65 and 91, respectively, and their respective scale factors are 5/7.

To know more about perimeters visit :-

https://brainly.com/question/6465134

#SPJ1

So, on solving the question we can say that - the equation is  y=7.25x; y = 2356.25

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here, the equation is -

y=7.25x

x = 325

y = 2356.25

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Revenue is calculated by multiplying the number of units sold by the price per unit. Multiply the output level by the price function to get the revenue function.

So here R(x) = 4(x)

Where x = number of days.

To learn more about revenue function refer to :

https://brainly.com/question/19755858

#SPJ1

The iterated integral by converting to polar coordinates is  [tex]\frac{2a^{2} }{5}[/tex]

Evaluating an iterated integral by converting it to polar coordinates involves the following steps:

Here, [tex]\int\limits^a_0 \int\limits^0_{-\sqrt{a^{2} - y^{2} } } {6x^{2} y} \, dx dy[/tex]

Now, converting it into the polar form:

[tex]\int\limits^\pi _\frac{\pi }{2} \int\limits^a_0} {6\cos^{2}\theta}\ {sin\theta\ r^{4} dr\ d \theta[/tex]

[tex]= \int\limits^\pi _{\frac{\pi}{2} } [\frac{6cos^2\theta}{5}\ r^5 sin\theta]^{a}_{0} \, d\theta[/tex]

[tex]= \int\limits^\pi _{\frac{\pi}{2} } [\frac{6\ a^2 \cos^2\theta sin\theta}{5}] \, d\theta[/tex]

[tex]= [-\frac{2a^{2} }{5}\ cos^{3}\theta ]^{{\pi} }_\frac{\pi}{2}[/tex]

[tex]= \frac{2a^{2} }{5}[/tex]

Learn more about iterated integral here:

https://brainly.com/question/22524663

The complete question is:

Evaluate the iterated integral by converting it to polar coordinates:

[tex]\int\limits^a_0 \int\limits^0_{-\sqrt{a^{2} - y^{2} } } {6x^{2} y} \, dx dy[/tex]

#SPJ4  

An example of time-ordered typical sample statistics is shown in the Control chart. It is used to process the Mean bar.

A control chart is a statistical tool for monitoring the effectiveness of a process over time. It has the form of a graph with two additional lines representing the upper control limit and lower control limit. The central line in the graph represents the mean or average of the data.

Control charts are a type of graph used in production control to assess the effectiveness of exceptional production procedures under challenging circumstances. Control charts are actually the tools used in control strategies. These curves were produced using historical data.

To learn more about Control Charts,

https://brainly.com/question/30052680

#SPJ4

The required probability of selecting the black marble is given as 0.40. Option C is correct.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total number of marbles in the bag = 15
Number of black marble = 6 [from the table]

Now,
The experimental probability of selecting a black marble,
= Number of black marble/Total number of marbles
= 6/15 = 0.40

Thus, the required probability of selecting the black marble is given as 0.40. Option C is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ1

The rate of B is  -0.003072 M/s.

The average rate of change is a measure of how much a quantity changes over a certain period of time. In this case, we are looking at the concentration of B, and we want to know how much it changes over the time interval from 0 to 332 seconds. To calculate this, we first need to determine the initial and final concentrations of B at these two points in time.

From the given data, we know that

Once we have these values, we can calculate the change in concentration of B by subtracting the initial concentration from the final concentration: 0.160 M - 0.670 M = -0.510 M. This tells us that the concentration of B decreases by 0.510 M over the time interval from 0 to 332 seconds.

Next, we need to divide this change in concentration by the length of the time interval to get the average rate of change. The length of the time interval is the difference between the final and initial time: 332 s - 0 s = 332 s. So, the average rate of change of B is (-0.510 M) / (332 s) = -0.001536 M/s. This tells us that the concentration of B decreases by 0.001536 M per second on average over the given time interval.

As we know that the reaction is of form A -> 2B, the rate of formation of B is equal to twice the rate of A.

So, Rate of B = 2* Rate of A =  2*(-0.001536) = -0.003072 M/s

Learn more about change in concentration here:

https://brainly.com/question/30080781

#SPJ4

Step-by-step explanation:

we can do even a little bit better than wild guessing and trying.

3x + 2y = 13

tells us that the sum of 2 terms is an odd number.

that means one term has to be odd and the other even, as only then their sum will be odd.

2y is because of the included factor 2 an even number. always.

so, 3x has to be odd.

and that means x has to be odd too. because an even number multiplied with any number is always even.

so, x can only be 1 or 3. because 3×5 = 15 (3×7 = 21, 3×9 = 27) and already too big for the sum 13.

so, for x = 1 we have

3×1 + 2y = 13

3 + 2y = 13

2y = 10

y = 5

for x = 3 we have

3×3 + 2y = 13

9 + 2y = 13

2y = 4

y = 2

so, the answer is either y = 2 or y = 5.

Interval notation: [0, ∞). To arrange the intervals in interval notation, use brackets and parenthesis.

To learn more about interval notation refer

https://brainly.com/question/29051394

#SPJ1