determine whether f (x) x^2-2x-3/x^2+3x+2 has any holes. if it does, give coordinates

The (x, y) is translated tο (x-1, y-6).

Resizing an οbject is accοmplished thrοugh a change called dilatiοn. The οbjects can be enlarged οr shrunk via dilatiοn. A shape identical tο the sοurce image is created by this transfοrmatiοn. The size οf the fοrm dοes, hοwever, differ. A dilatatiοn οught tο either extend οr cοntract the οriginal fοrm. The scale factοr is a phrase used tο describe this transitiοn.

The scale factοr is defined as the difference in size between the new and οld images. An established lοcatiοn in the plane is the center οf dilatatiοn. The dilatiοn transfοrmatiοn is determined by the scale factοr and the centre οf dilatiοn.

the cοmpοsitiοn οf

(x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)

(x, y) --> (x-5, y-5)

(x+4-5, y-1-5) = (x-1, y-6)

Therefοre, the cοmpοsitiοn οf (x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5) is (x, y) --> (x-1, y-6).

In οther wοrds, the translatiοn rule fοr the cοmpοsitiοn is:

Hence, The (x, y) is translated tο (x-1, y-6).

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Answer:

(x, y) --> (x-1, y-6)

Step-by-step explanation:

In response to the question, we may say that  205 adults and 130 kids equation respectively attended the concert, for a total of 205 adults and 130 kids.

The equals symbol (=), which indicates equivalence, connects two statements in a mathematical equation. An algebraic equation's mathematical assertion proves the equality of two mathematical propositions. The equal sign, for instance, places a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. Use a mathematical formula to understand how the two sentences on opposite sides of a letter relate to one another. Usually, the logo corresponds to the particular programmed. An example would be 2x - 4 = 2.

Assume that "x" represents the proportion of adults who attended the performance and "y" represents the proportion of children.

The problem statement informs us that:

x + y = 335 —-(1) (1) (There are 335 persons present in all.)

The total amount of money gathered is $675 (2.5x + 1.25y).

1.25x + 1.25y = 418.75 —-(3) (3)

2.5x - 1.25x = 675 - 418.75

1.25x = 256.25

x = 205

205 + y = 335

y = 130

205 adults and 130 kids respectively attended the concert, for a total of 205 adults and 130 kids.

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Answer: 4500

Step-by-step explanation:

1st 0, 1, 2, 3 ,5 ,6 ,7 ,8 ,9

2nd 0, 1, 2 ,3 ,4 ,5 ,6 ,7 ,8 , 9

3rd 0, 1, 2 ,3 ,4 ,5 ,6 ,7 ,8 , 9

4th 1, 3, 5, 7, 9

9 x 10x 10 x 5= 4500

Using the information shown on the auger shell. The value of x is found as 16.

Fractions and ratios can both be stated as reciprocals of one another. Similar rules apply to proportions, which are just the equivalence of two ratios.

For the given values in question:

8.8 mm

11 mm

20 mm

Value of x.

Using proportion of the numbers:

8.8 / 11 = x / 20

x = 8.8*20 / 11

x = 16

Thus, using the information shown on the auger shell.  The value of x is found as 16.

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The image after the reflection over the line x = 2 is (11, -3)

Here we have the point T which has coordinates (-7,  -3), and we apply a refletion across the line x = 2.

This reflection will only chane the value of x in our point, such that the initial value x = -7

Is at the same distance of the line x = 2 than the final x-value

The distance between these values is:

d = |-7 - 2| = 9

Then the new x-value will be:

x = 2 + 9 = 11

Thus, the image after the reflection is (11, -3)

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Answer:

1. Start with the dolphin’s initial position, which is -30 feet below the surface of the water. We can use a negative sign to indicate that the dolphin is below the surface.

2. Add 23 feet to the dolphin’s position to represent her first rise. This gives us -30 + 23 = -7 feet. The dolphin is now 7 feet below the surface of the water.

3. Add another 7 feet to the dolphin’s position to represent her second rise. This gives us -7 + 7 = 0 feet. The dolphin is now at the surface of the water.

Therefore, the answer is that the dolphin is now at the surface of the water.

The set of values that is greater than the quadratic function with zeros -5 and -13 and includes the point (-9, -32) is: y > 2(x+5)(x+13)

A quadratic function is a type of function in mathematics that can be represented by a quadratic equation, which is a polynomial equation of the second degree. It is an equation, for example, y = ax2 + bx + c, where a, b, and c are constants and x is the variable, that involves a variable raised to the power of two.

The factored form of the quadratic function with zeros -5 and -13 is as follows:

f(x) = a(x + 5)(x + 13)

where a is a constant.

Substituting the given point (-9, -32) into the quadratic function, we get:

-32 = a(-9 + 5)(-9 + 13)

-32 = -16a

a = 2

So, the quadratic function in factored form is:

f(x) = 2(x + 5)(x + 13)

we need to find the range of values that satisfy this inequality:

y > a(x + 5)(x + 13)

Therefore, the set of values that is greater than the quadratic function with zeros -5 and -13 and includes the point (-9, -32) is: y > 2(x+5)(x+13)

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The equation for the logarithmic function that passes through (0,0) and (-5,3) is given as follows:

y = log2(-x + 1)

First we must consider the vertical asymptote of the logarithmic equation, which is given as follows:

x = 1.

As the function is defined for the values to the left of the vertical asymptote, the function was reflected over the y-axis, hence:

y = logb(-x + 1) + d.

When x = -1, y = 1, hence we can have a logarithm of base 2 with a vertical shift of zero, hence:

y = log2(-x + 1)

Which is the logarithmic function for the function graphed in this problem.;

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Answer:basically if 23x45 is 35 then u times that to 15 and theres ur asnwer

23x45=35

Answer:

divide the numbers and you'll get 1×10^5

Answer:

Look explain

Step-by-step explanation:

Give the following outcomes for each of the events with a set of 1,2,3,4,5,6,7,8:

Event A: The number can be 1,2,3 because it has to be less than 4

Event B: The number can be 2,4,6,8 because those are the only even numbers

Both Event A&B: The marble must be even and between 1,2,3 so only 2 is correct and must be marble #2

I hope this helps :)

Answer: It looks like it could be III I'm not sure thought I hope it was right

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}Answr:\\=&=&=\\1&6&.\end{array}\right][/tex]

Step-by-step explanation & Answer

In order to find chau’s height we would only need to subtract:

40 - 24 = ?

? = 16

But it determines what you are putting it in as well.

You can put it in, feet, meters, or inches.

So I do not know but looking at the question it seems like I do not need to know. ( Saying thing because you might actually have the measurements but I do not know / I cannot see. )

Thus the answer to your problem is, 16

The average speed in mph is 2 mph

Average Speed is the total distance that something has traveled by the total amount of time it took it to travel that distance. It is also the total distance traveled by the moving object and the amount of total time the object spent moving.

Average speed = Distance traveled/Time taken

Where Distance traveled = 4/10 mile

Time taken = 1/5 of an hour

To get the average speed in mph,

Average speed = (4/10)/(1`/5)

Average speed = 4/10 * 5/1

Average speed = 20/10

Average speed = 2 mph

Therefore, the average speed is 2mph

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Answer: 9·9 -36 +4.

Step-by-step explanation: 9x² -12x +4 for x=3. 9·3² -12·3 +4 = 9·9 -36 +4.

The two locations on the inverse function graph where the tangent lines to both functions are perpendicular are as a result: P(0.3807, 1.9337) and Q (0.6677, 0.6129).

In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.

[tex]y = f(x) = 1/(x^2+1) + (1-2x)^(1/3)\\y - 1/(x^2+1) = (1-2x)^(1/3)\\(y - 1/(x^2+1))\\y^3 = 1-2x\\x = (1 - (y - 1/(x^2+1))^3)/2\\g(y) = (1 - (y - 1/(x^2+1))^3)/2\\[/tex]

[tex]f(x) = 1/(x^2+1) + (1-2x)^(1/3)\\f'(x) = -2x/(x^2+1)^2 - (1-2x)^(-2/3)/3\\g(y) = (1 - (y - 1/(x^2+1))^3)/2\\g'(y) = -3(y - 1/(x^2+1))^2/(2(x^2+1)^2)\\-2x/(x^2+1)^2 - (1-2x)^(-2/3)/3 * -3(y - 1/(x^2+1))\\x^2/(2(x^2+1)^2) = -1\\2x/(x^2+1)^2 = 1/((1-2x)^(2/3)(y - 1/(x^2+1))^2)\\4x^2 = (x^2+1)\\x^2 / ((1-2x)^(4/3)(y - 1/(x^2+1))^2)\\(x^2-2x+1)(x^2+2x+1)\\(y - 1/(x^2+1))^2 = 16x^2(1-2x)^(4/3)\\x = 0.3807 or x = 0.6677\\y = 1.9337 or y = 0.6129\\[/tex]

The two locations on the inverse function graph where the tangent lines to both functions are perpendicular are as a result: P(0.3807, 1.9337) and Q (0.6677, 0.6129).

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Hence, in response to the provided question, we can say that Therefore equation there are 600 pupils in the seventh grade.

An algebraic equation is a method of connecting two quotes by using the equals symbol (=) to express equality. In algebra, an explanation is a definitive expression that verifies the equivalency of two formula. For example, the identical character divides the numbers 3x + 5 and 14. A linear equation might be used to recognize the connection that existing between the texts written on separate sides of a letter. The product and application both frequently the same. 2x - 4 equals 2, for example.

Let's call the total number of pupils in the seventh grade "x".

We know that the 12 students in the Environmental Club account for 2% of the seventh-grade students, which means:

12 = 0.02x

To find x, we must isolate it on one side of the equation. This can be accomplished by dividing both sides by 0.02:

12 ÷ 0.02 = x

This boils down to:

600 = x

Therefore there are 600 pupils in the seventh grade.

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Answer:

Parts of the expression:

b: a variable representing a quantity that can vary or change.

12: a constant representing a fixed value.

r: a variable representing a quantity that can vary or change.

Word expression:

"Add twelve times the quantity of r to b."

Step-by-step explanation:

Answer:

Where is the expression bro

Answer:

Step-by-step explanation:

To find the magnitude of the cross product of vectors a and b, we can use the formula:

|a x b| = |a| |b| sin(θ)

where |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.

First, let's calculate the cross product of vectors a and b:

a x b = (2i + j + 8k) x (i + 3j + 4k)

= (j)(4k) - (8k)(3j) - (i)(4k) - (j)(2i) + (8k)(i) - (2i)(i + 3j)

= -10i - 20j - 20k

Next, let's find the magnitudes of vectors a and b:

|a| = √(2^2 + 1^2 + 8^2) = √(69)

|b| = √(1^2 + 3^2 + 4^2) = √(26)

Finally, we need to find the angle θ between vectors a and b. We can use the dot product to find cos(θ):

a · b = (2i)(i) + (1j)(3j) + (8k)(4k) = 2 + 3 + 32 = 37

|a| |b| cos(θ) = a · b

cos(θ) = a · b / (|a| |b|)

cos(θ) = 37 / (√(69) √(26))

cos(θ) ≈ 0.893

Using the fact that sin^2(θ) + cos^2(θ) = 1, we can solve for sin(θ):

sin(θ) = √(1 - cos^2(θ))

sin(θ) ≈ 0.449

Substituting the values we found into the formula for the magnitude of the cross product, we get:

|a x b| = |a| |b| sin(θ)

|a x b| = √(69) √(26) (0.449)

|a x b| ≈ 26.81

Therefore, the magnitude of the cross product of vectors a and b is approximately 26.81.

According to the given conditions, the equation of the ellipse is [tex]{\frac{(x+1)^2}{25}+(y+5)^2=1}$.[/tex]

An equation is a mathematical statement that shows the equality between two expressions. In other words, it is a way to describe a relationship between two or more variables or quantities.

The center of the ellipse is (-1,-5), which means that the center of the ellipse is shifted from the origin. We can find the equation of the ellipse using the standard form equation:

[tex]$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$[/tex]

where (h,k) is the center of the ellipse, and a and b are the lengths of the semi-major and semi-minor axes, respectively.

Since the minor axis has length 2, we know that b=1. We also know that the vertex on the minor axis is (5,-5), which means that the semi-major axis has length 5. Therefore, a=5.

Substituting these values into the standard form equation, we get:

Simplifying, we get:

[tex]$\frac{(x+1)^2}{25}+(y+5)^2=1$[/tex]

Therefore, according to the given conditions, the equation of the ellipse is [tex]{\frac{(x+1)^2}{25}+(y+5)^2=1}$.[/tex]

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In this the point (-2,3) on the graph of f multiplied by the corresponding point (-2,2) on the graph of g yields the product (-2,6), which is equal to -8.

A coordinate plane is a two-dimensional surface composed of two number lines, one horizontal (x-axis) and one vertical (y-axis). It is used to graph points, lines, and other shapes. Each point is identified by a pair of numbers which indicate its position along the x and y axes. The x and y axes intersect at the origin and divide the plane into four quadrants.

The graph of fg can be found by first graphing both f and g on the same coordinate plane. From there, the graph of fg can be found by taking each point on the graph of f and multiplying it by the corresponding point on the graph of g. In this example, the point (x,y) on the graph of f is multiplied by the corresponding point (x,y) on the graph of g to form a new point (x,yz). This new point is then placed on the graph of fg.

Using the graphs of f and g provided, we can determine that (fg)(-2) = -8. To find this, first locate the point (-2,3) on the graph of f. Then, locate the corresponding point (-2,2) on the graph of g. The product of these two points is (-2,6). This means that (fg)(-2) = -8.

In summary, to find (fg)(-2) using the graphs of f and g, first graph both f and g on the same coordinate plane. Then, take each point on the graph of f and multiply it by the corresponding point on the graph of g. In this example, the point (-2,3) on the graph of f multiplied by the corresponding point (-2,2) on the graph of g yields the product (-2,6), which is equal to -8.

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Imhotep can pain the pyramid in 256 different ways, and his assistant can make 64 different models of the pyramid, as explained below.

There are 4 sides to paint, and each side can be painted with one of 4 colors. So the total number of different ways Imhotep can paint the Great Pyramid is:

4 x 4 x 4 x 4 = 256

Therefore, Imhotep can paint the Great Pyramid in 256 different ways. However, as pointed out, many of these ways are just rotations of each other. Specifically, there are 4 different rotations for each way of painting the pyramid. Therefore, the number of distinct models can be seen below:

256 / 4 = 64

Therefore, Imhotep's assistant only needs to make 64 different models.

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Answer:

70

Step-by-step explanation:

Best answer for the statement are Linear, Nonlinear.

A linear function is a type of mathematical function that has the following form:

f(x) = mx + b

where "m" and "b" are constants. "m" represents the slope of the line, or the rate at which the function changes .

Linear functions have a constant rate of change and when graphed form a straight line. Nonlinear functions do not have a constant rate of change, can be graphed with one or more curves or a "v-shape".

Therefore, the best answer to complete the sentence is:

Linear functions have a constant rate of change and when graphed form a straight line. Nonlinear functions do not have a constant rate of change, can be graphed with one or more curves or a "v-shape".

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Answer:

Step-by-step explanation:

If 24, x and 18 are in proportion, then we have:

24 : x = x : 18

This can be rewritten as:

x^2 = 24 x 18

x^2 = 432

Taking the square root of both sides, we get:

x = ± 20.7846

However, we also know that (x - 1) is in proportion with 24 and 18. Therefore:

24 : (x - 1) = (x - 1) : 18

This can be rewritten as:

(x - 1)^2 = 24 x 18

(x - 1)^2 = 432

Taking the square root of both sides, we get:

x - 1 = ± 20.7846

Solving for x in each case, we get:

x = 21.7846 or x = -19.7846

However, we can see that the value x = -19.7846 does not make sense in the context of the problem (since we cannot have a negative value for the number of something). Therefore, we can reject it as an extraneous solution.

Hence, the value of x is:

x = 21.7846

Answer: 21.7846

After answering the presented question, we can conclude that As a rectangle result, the wall's length is approximately 18.67 metres.

In Euclidean geometry, a rectangle is a parallelogram with four small angles. It can also be described as a fundamental rule hexagon or one in which all of the angles are equal. Another option for the parallelogram is a straight angle. Four of the vertices in a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle." A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.

To begin, we can use the formula for the area of a rectangle, which is:

length x width Equals area

We know the wall's area is 39.2 m2, and we want to know how long it is. We are also given the wall's breadth, which is 2.1 m.

As a result, we can rearrange the formula to find the length:

width = Area length

length = 39.2 2.1 cm

a length of 18.67

As a result, the wall's length is approximately 18.67 metres.

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As a result, the probability of selecting a 7 and a jack from a regular deck of cards, one at a time and without replacement, is about 0.006 or 0.6%.

Probabilistic theory is a branch of mathematics that evaluates the probability of a certain occurrence or proposition occurring or being true. A danger is a number in the range between 0 and 1, whereas 1 signifies certainty and a probability of around 0 reflects how likely an event seems to be to occur. Probability seems to be a mathematical function for the likelihood or likelihood that a certain event will occur. Probabilities can also be expressed as numbers ranging from 0 to 1 or as percentages ranging from 0% to 100%. In relation to all other outcomes, the ratio of occurrences between equally as likely possibilities that result in a specific event.

The probability of selecting a 7 and a jack from a regular deck of cards, one at a time and without replacement, is as follows:

As a result, the odds of selecting a jack from the remaining cards are 4/51.

The product of these probabilities is the likelihood of selecting a 7 and a jack in sequence:

P(7) = P(7) x P(jack|7 not picked) = 4/52 x 4/51

When we simplify this expression, we get:

P(Jack and 7) = 16/2652

As a result, the likelihood of selecting a 7 and a jack from a regular deck of cards, one at a time and without replacement, is about 0.006 or 0.6%.

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It is also important to communicate effectively with any individuals involved in the procedure to ensure that everyone is on the same page and working towards the same goal.

The procedure can refer to a variety of things depending on the context. If you are referring to a medical procedure, it is important to first consult with a healthcare professional to determine the specific procedure that is needed.

If you are referring to a legal or administrative procedure, it is important to review the guidelines and protocols set forth by the governing body or organization.

In general, the procedure typically involves a set of steps or instructions that must be followed in order to achieve a specific outcome. These steps may include gathering information, completing forms, submitting documents, or performing specific tasks.

It is important to carefully follow each step of the procedure to ensure that the desired outcome is achieved.

If you need a procedure completed by 12pm today, it is important to prioritize your tasks and ensure that you have all necessary resources and information available. Depending on the specific procedure, you may need to work quickly and efficiently in order to meet the deadline.

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On Julie's door, the images will span 210 square inches.

As Julie printed six images, the total space that the images cover is:

6 x 35 square inches = 210 square inches

Inches are measured as 1/36 of a yard in both British Imperial and American Customary measurement systems. According to some sources, the term "inch" comes from the Old English "ince" or "ynce," which in turn is said to have originated from the Roman "uncia" unit.

The name of another English unit, the ounce, is derived from the Roman word uncia. According to legend, King David I of Scotland defined the old English word "ynce" as the width of a man's thumb at the base of the nail in the year or thereabouts 1150 AD.

From the question:

Six images total, each measuring 5 by 7 inches, were printed by Julie. We must first calculate the area of each image in order to add up the overall area that these photographs cover.

One image's area is as follows:

5 inches x 7 inches = 35 square inches

As Julie printed six images, the total space that the images cover is:

6 x 35 square inches = 210 square inches

Consequently, 210 square inches of Julie's door will be covered by the images.

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