PLEASE HELP!! I will give brainliest!!
Drag the key features to the correct location on the image.
Each key feature can be used more than once, but not all key features will be used.
Which key features are present in these three functions?
Answers
Answer:
See screenshot attached that shows it is correct
Step-by-step explanation:
f(x) has a domain of (-infinity, 6) U (6, infinity). Horizontal asymptote of y= -2
g(x) has a domain of (-infinity, -3) U (-3,2) U (2,infinity). Horizontal asymptote of y=1.
h(x) has a domain of (-infinity, 6) U (6, infinity). Function has a oblique asymptote.
The function [tex]f(x)=\dfrac{\left(-2x+4\right)}{x-6}[/tex] will have a domain of [tex](-\infty,6)\cup(6,+\infty)[/tex], the function [tex]g(x)=\dfrac{\left(x^{2}-2x\right)}{x^{2}+x-6}[/tex] will have a domain of [tex](-\infty,-3)\cup(-3,2)\cup(2,+\infty)[/tex], and the function [tex]h(x)=\dfrac{\left(x^{2}-2x\right)}{x-6}[/tex] will have a domain of [tex](-\infty,6)\cup(6,+\infty)[/tex].
Given information:
The given functions are:
[tex]f(x)=\dfrac{\left(-2x+4\right)}{x-6}[/tex]
[tex]g(x)=\dfrac{\left(x^{2}-2x\right)}{x^{2}+x-6}[/tex]
[tex]h(x)=\dfrac{\left(x^{2}-2x\right)}{x-6}[/tex]
For a rational function, the denominator should not be equal to zero.
So, the domain of the first function will be,
[tex]x-6\neq0\\x\neq6\\(-\infty,6)\cup(6,+\infty)[/tex]
The function [tex]f(x)=\dfrac{\left(-2x+4\right)}{x-6}[/tex] will form a vertical asymptote at [tex]x=6[/tex].
The domain of the second function will be,
[tex]x^2+x-6\neq0\\x^2+3x-2x-6\neq0\\(x+3)(x-2)\neq0\\x\neq2, -3\\(-\infty,-3)\cup(-3,2)\cup(2,+\infty)[/tex]
The function [tex]g(x)=\dfrac{\left(x^{2}-2x\right)}{x^{2}+x-6}[/tex] will form a vertical asymptote at [tex]x=-3[/tex] and a horizontal asymptote at [tex]y=1[/tex].
The domain of third function h(x) will be,
[tex]x-6\neq0\\x\neq6\\(-\infty,6)\cup(6,+\infty)[/tex]
Now, the third function [tex]h(x)=\dfrac{\left(x^{2}-2x\right)}{x-6}[/tex] will form an oblique asymptote, and a vertical asymptote at [tex]x=6[/tex].
The graph of each function is attached to the image.
Therefore, the function [tex]f(x)=\dfrac{\left(-2x+4\right)}{x-6}[/tex] will have a domain of [tex](-\infty,6)\cup(6,+\infty)[/tex], the function [tex]g(x)=\dfrac{\left(x^{2}-2x\right)}{x^{2}+x-6}[/tex] will have a domain of [tex](-\infty,-3)\cup(-3,2)\cup(2,+\infty)[/tex], and the function [tex]h(x)=\dfrac{\left(x^{2}-2x\right)}{x-6}[/tex] will have a domain of [tex](-\infty,6)\cup(6,+\infty)[/tex].
For more details, refer to the link:
https://brainly.com/question/15099991
Related Questions
Help please!! I would appreciate it
Answers
The behavior of the graph at the intervals are as follows
(0, 4} = increasing
(0, 2} = negative
{-2, 0) = decreasing
(-4, -1) = positive
How to determine the behavior of the function in the intervalsThe intervals represents some numbers and the numbers within the interval depends on the type bracket
(0, 4} = integer values from 1 2 3 4 at this interval the curve is going up hence increasing
(0, 2} = integer values from 1 2 at this interval the curve is on the negative side
{-2, 0) = integer values from -2 -1 at this interval the curve is on the decreasing
(-4, -1) = integer values from -3 -2 -1 at this interval the curve is on the on the positive side
Learn more about graphs at:
https://brainly.com/question/28066489
#SPJ1
At the Middleton School festival, a tent covers a rectangular space 30 1/2 yards long and 9 1/3 yards wide. What is the area, in square yards, covered by the tent?
Answers
Answer:
284 2/3 square yardsStep-by-step explanation:
Area of rectangle:
A = lwA = 30 1/2 * 9 1/3 = 61/2 * 28/3 = 854/ 3 = 284 2/3 square yardsAnswer:
284 ²/₃ square yards
Step-by-step explanation:
Area of a rectangle
Area = length × width
Given:
length = 30 ¹/₂ yardswidth = 9 ¹/₃ yardsSubstitute the given values into the formula and solve for area:
[tex]\begin{aligned}\sf Area & = \left(30+\dfrac{1}{2}\right) \times \left(9+\dfrac{1}{3}\right)\\\\ & = \dfrac{30 \times2+1}{2} \times \dfrac{9 \times 3+1}{3}\\\\ & = \dfrac{61}{2} \times \dfrac{28}{3}\\\\& = \dfrac{61 \times 28}{2 \times 3}\\\\ & = \dfrac{1708}{6}\\\\ & = \dfrac{1704+4}{6}\\\\ & = \dfrac{1704}{6}+\dfrac{4}{6}\\\\ & =284\: \frac{2}{3}\:\:\sf square\:yards\end{aligned}[/tex]
Therefore, the area covered by the tent is 284 ²/₃ square yards.
Frank is going to plant n vegetable seeds in one garden and 2n +9 vegetable seeds in another. How many seeds is Frank
going to plant?
Answers
The number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.
What is meant by algebraic expressions?An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).
Given that n and (2n + 9) are the seeds that Frank will plant in various gardens, the total number of seeds that Frank will plant can be represented algebraically by combining the two formulas.
Like terms with the same variables are added together.
Let the equation be n + 2n + 9
simplifying the above equation, we get
3n + 9
Therefore, the number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.
To learn more about algebraic expressions refer to:
https://brainly.com/question/4344214
#SPJ1
The number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.
What is meant by algebraic expressions?An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).
Given that n and (2n + 9) are the seeds that Frank will plant in various gardens, the total number of seeds that Frank will plant can be represented algebraically by combining the two formulas.
Like terms with the same variables are added together.
Let the equation be n + 2n + 9
simplifying the above equation, we get
3n + 9
Therefore, the number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.
To learn more about algebraic expressions refer to:
brainly.com/question/4344214
#SPJ1
1/4 Ib = ? oz
I don’t understand how the fraction can be turned into the answer , I know you have to multiply or divide but I just do not understand this question
Answers
Answer: 1/4 pound (lb) is equal to 4 ounces (oz).
This is because there are 16 ounces in one pound, so you can divide a pound into 16 equal parts, and each part is one ounce. Similarly, you can divide a pound into 4 equal parts , and each part is 1/4 pound. So in order to convert 1/4 pound to ounces, you can multiply 1/4 by 16.
1/4 lb * 16 oz/lb = 4 oz
When converting units, you are essentially multiplying or dividing by a conversion factor. In this case, the conversion factor is 16 oz/lb which tells you that there are 16 ounces in one pound. This factor allows you to convert between pounds and ounces by multiplying or dividing by it.
It's important to pay attention to the units in the conversion factor when using them. Here, the numerator and denominator of the conversion factor have the same unit, but it's not always the case. And the conversion factor helps to cancel out the unwanted unit and yield the desired unit in the end.
Step-by-step explanation:
Find A. Round to the nearest tenth.
Answers
Answer:
27.8 degrees
Step-by-step explanation:
Wasn't it 'a,' not 'A,' that you wanted?
The ratio a/ 30 is the cosine of the angle 22 degrees, which in turn is 0.927:
a
Then 0.927 = ------- which yields a = 30(0.927) = 27.8 degrees
30
What is the length of DF?
Answers
Answer:
5
Step-by-step explanation:
24 divided by 4=6
so you have to do 20 divided by 4
20 divided by 4 = 5
Examine this set of ordered pairs. (7,9), (4,18), (−3,11), (16,18), (4,−11) Is the set of ordered pairs a function? Choose the answer that is entirely correct.
Answers
The set of ordered pairs represents the function.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given:
The set of ordered pairs:
(7,9), (4,18), (−3,11), (16,18), (4,−11)
Pairs written as input and output of the relation.
In the attached table,
To prove function:
A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function.
And here each input is connected to precisely one output.
Therefore, this is a function.
To learn more about the function;
brainly.com/question/28303908
#SPJ1
i need help i will mark you brainliest
Answers
Answer:
Step-by-step explanation:
you need to draw a leaf plot
Audrey walked 285 meters west and Billy walked 213 meters south from the same starting location. How far apart are Audrey and Billy?
Answers
Audrey and Billy are as far as 367 meters apart.
What is displacement of an object?The displacement of an object is its distance covered or moved in a specific direction. Displacement is an example of vector quantity.
A vector quantity is generally any type of quantity which can be expressed in magnitude and direction. Some examples include: weight, displacement, acceleration, force, etc.
Since Audrey walked 285 meters west and Billy walked 213 meters south from the same starting location, then we can determined the distance far apart by applying the Pythagorean theorem.
So that,
/hyp/^2 = /opp/^2 + /adj/^2
Let their distance apart be represented by s,
s^2 = 231^2 + 285^2
= 53561 + 81225
s = (134586)^1/2
s = 366.86
Audrey and Billy are as far as 367 meters apart.
Learn more about displacement of an object at https://brainly.com/question/24588662
#SPJ1
What is the value of 8 power 8?
Answers
Answer:16,777,216
Step-by-step explanation:
lets help us fine the correct answer
Answers
Answer: ∠z=48°
Vertical angles are always congruent, and because 87 and z are adjacent angles, but equal 135, the equation would be 87+z=135. Subtract 87 on both sides to get z=48.
Help pls I’ll give brainlis
Answers
Answer:
b=-1
Step-by-step explanation:
you need to make sure that you can add 7 and have the answer be 4cm because, and if you subtract 4 from 7 you get 3 so the should add onto a -3 and the only way to turn the 3 into -3 is to multiply the 3 by -1
I need this answered by 3pm. Look at the diagram below. Fill in the missing angle measures.
Answers
Answer:
1 = 26
2 = 154
3 = 26
4 = 26
5 = 154
6 = 154
7 = 26
Step-by-step explanation:
PLEASE HELP ME WITH MATH! WILL GIVE BRAINLIEST! THANK YOU:)))
Answers
Answer:
3+10=13+17=30+24=54+0=54
find the real solutions to the equation 3,888=3h^4
Answers
Answer:
[tex]h=\pm6[/tex]
Step-by-step explanation:
[tex]3h^4=3888\\h^4=1296\\h=\pm6[/tex]
ILL BRAINLIEST YOU PLEASE HELP ME
Answers
Answer:
Option C
20, 21, 29 represents three sides of a right triangle
Step-by-step explanation:
By Using Pythagorean Triplet we can say that
20, 21, 29 represents three sides of a right triangle
FOR VERIFICATION ONLY:(20)² + (21)² = (29)²
400 + 441 = 841
841 = 841
Thus, 20, 21, 29 represents three sides of a right triangle
-TheUnknownScientist
The pie charts show information about the favourite animal of each student at school A and of each
student at school B.
School A
School B
monkeys
tigers
60°
monkeys
lions
(160°
(110°
tigers
lions
There are 480 students at school A.
There are 760 students at school B.
Henry says,
"The same number of students at each school have tigers as their favourite animal."
Is Henry correct?
You must show how you get your answer.
Answers
Answer:
He is not
In school B, the angle representing the sector of students that like tigers is 90 degrees while in school A, the angle representing the sector of students that like tigers is larger than 90 degrees. this is determined by perusing the images visually.
Step-by-step explanation:
Please find the complete question in the attached image
Pie chart is a graph used to represent numeric information. the sum of angles in a pie chart equals 360 degrees. the pie chart is usually separated into sectors to represent numeric information
the angle representing the students that like tigers in school A = 0.5 x (360 - 60) = 150 degree
y = 3x
x + y = 52
substitution method
help quick
show all work
Answers
Answer:
[tex]x + 3x = 52 \\ 4x = 52 \\ x = 13 \\ y = 3x = 3 \times 13 = 39[/tex]
What does a 45 45 90 triangle look like?
Answers
A 45°-45°-90° triangle looks like Right Angle Triangle.
A 45°−45°−90° triangle is a commonly encountered right triangle whose sides are in the proportion 1:1:√2.
45°−45°−90° triangle is a commonly encountered right triangle whose sides are in the proportion 1:1:√2 . The measures of the sides are x, x, and x√2.
In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg, and the Opposite side to 45 = 1/√2 * Hypotenuse.
The 45-45-90 triangle has three unique properties that make it very special and unlike all the other triangles.
Hence, a 45°−45°−90° triangle is a commonly encountered right triangle whose sides are in the proportion 1:1:√2.
To know more about the 45°-45°-90 rule:
https://brainly.com/question/15467050
#SPJ4
[tex]w + 29 = 250 \div 5 - 20[/tex]
Find the value of w
Answers
Answer:
I don't know I am sorry bro
Find the missing angle.
66°
56°
76°
156°
Answers
How do I find parameter?
Answers
Answer:
Depending of the figure that you are trying to find perimeter on, you just add up all the sides of that figure.
Answer:
The perimeter is the distance around a figure.
Step-by-step explanation:
For example, if I have a square where each side is 5 inches. The perimeter would be 20 inches. 5 + 5+ 5 + 5, a square has four sides and each side length is 5 inches.
Please help me on this
Answers
the first one is A
the second one is D
none of the above - correct answer is root 133. there has to be a typo I think. if they force you to choose do C. -i give the props to the other guy who answerd this question
Can someone please help me
Answers
I think that it is 56
Is horizontal asymptote y axis?
Answers
No, horizontal asymptote is not represented by y- axis it is represented by the x -axis.
To find the location of the given horizontal asymptote first find the degree of denominator and the degree of numerator.Degree of denominator is larger than the degree of the numerator for the given exponent then it represents the horizontal asymptote x -axis When degree of denominator is more than the degree of numerator than y = 0.Horizontal asymptote of the graph is very close to the horizontal line that is x -axis.Therefore, the horizontal asymptote is not represented by the y-axis, it is represented by the x-axis.
Learn more about horizontal asymptote here
brainly.com/question/4084552
#SPJ4
Which of the following 3 lengths can be combined to form a right triangle?
A. a = 1, b = 2, c = 3
B. a = 7, b = 12, c = 13
C. a = 9, b = 20, c = 21
D. a = 8, b = 15, c = 17
Answers
The 3 lengths that can be combined to form a right triangle will be 8, 15, and 17. Then the correct option is D.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The Pythagoras theorem formula is given as
H² = P² + B²
If the Pythagoras theorem is satisfied then the dimension is the dimension of the right triangle.
Let's check option D, then we have
17² = 8² + 15²
289 = 64 + 225
289 = 289
The 3 lengths that can be combined to form a right triangle will be 8, 15, and 17. Then the correct option is D.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ1
Evaluate the expression x2+y210 when x = 6 and y = 8.
A:100
B: 1 2/5
C: 2 4/5
D: 10
Answers
What is the 3 triangular number?
Answers
A triangular number succession is the representation of numbers as just an ordered set of equilateral triangles. The order of these numbers is 1, 3, and 6.
What exactly is meant by triangular numbers?A triangular number is one that may be written as the sum of a initial n positive integers.
A good example of a triangular number is 6, which may be written as 1+2+3 when the first three positive integers are added together.Triangular numbers make up a sequence if one considers the sum of the first positive integer as the initial element, the sum of the first two positive integers as the second element, and so on.If a number equals that sum of such initial n positive integers, then n denotes the position of that particular triangular number with in the series.Triangular numbers can be used to create equilateral triangles.The first 3 triangular numbers are therefore 1, 3, and 6.
To know more about the triangular numbers, here
brainly.com/question/13968949
#SPJ4
What is the slope of the line?
A. -2
B. 1
C. 0
D. No slope
Answers
Answer:
0
Step-by-step explanation:
The slope is 0 because there is no rise over run.
How many 1 by 1
4
by 1 prisms fit inside the 1 by 1 by 1 unit cube?
Answers
Answer:
4 prisms fit inside that one cube