Why is the second open interval on which the function is decreasing (0, infinity) and not (0, -infinity) if it’s going down? (Photo attached)
Answers
Therefore , the solution of the given problem of function comes out to be the function's behavior on that range because it is not specified for negative values of x.
What does the term function actually mean?The midterm exam will include questions on design, geometry, numbers, each division, as well as actual and hypothetical geographic places. A piece of work describes the connections between variable elements that cooperate to produce the same outcome. A utility is a structure made up of numerous unique parts that work together to create unique outcomes for each input.
Here,
Given that the function in the graph you supplied is undefinable for negative values of x, its domain is (0, infinity).
Therefore, referring to the function as declining on the interval is illogical. (0, -infinity).
As we travel from right to left on the interval, we can observe that the function's values are indeed decreasing. (0, infinity).
We refer to this interval as the function's declining one because of this.
On the interval, we could state that the function is decreasing.
(-infinity, 0). However, in this specific instance, we are unable to discuss the function's behavior on that range because it is not specified for negative values of x.
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Related Questions
Talitha will sell her bicycle shop to you for R250 000, with seller financing at a 6% nominal annual rate. The terms of the loan will require you to make 12 equal end-of-month payments per year for four years, and then make an additional final (balloon) payment of R50 000 at the end of the last month. What will your equal monthly payments be?
Answers
Answer:
Step-by-step explanation:
To calculate the equal monthly payments under this loan, we can use the formula for the present value of an annuity due, since the payments are due at the end of each period. The present value of the equal monthly payments can then be set equal to the loan amount of R250,000, and we can solve for the payment amount.
First, we need to calculate the present value factor for an annuity due with 12 payments per year over a four-year period, using a nominal annual rate of 6%.
PVIFA(due) = (1 - (1 + r/n)^(-nt))/((r/n)(1 + r/n))
Where:
r = nominal annual rate = 6%
n = number of compounding periods per year = 12
t = number of years = 4
PVIFA(due) = (1 - (1 + 0.06/12)^(-12*4))/((0.06/12)(1 + 0.06/12)) = 43.232
Next, we can use the formula for the present value of an annuity due to calculate the equal monthly payments:
PMT = PV / PVIFA(due)
Where:
PV = present value of the loan = R250,000
PMT = 250000 / 43.232 = R5,785.97
Therefore, your equal monthly payments will be R5,785.97. At the end of the four-year period, you will also need to make a final balloon payment of R50,000 to fully pay off the loan.
PLEASE HELP!!! (IMAGE ATTATCHED) (40PTS)
ALEKS INITIAL KNOWLEDGE CHECK
In rhombus yxyz below, wy24cm and xv7cm .
Find the area of the rhombus.
Be sure to include the correct unit in your answer.
Answers
Answer:
168 cm^2
Step-by-step explanation:
This rhombus is made up of two triangles. To find triangle area, base x height/2 (but bc there are two triangles we don’t need to divide by 2). To do this, 14 x 12 to get 168cm^2
I need help with my homework
Answers
The table that represents the function for a lawn being mowed more quickly than by Killian's rate is given as follows:
Second table.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.
Killian can cut grass at a rate of 1000 square feet each 10 minutes, hence his average rate of change is given as follows:
1000/10 = 100 square feet per minute.
For the second table, in 7 minutes, 1100 square feet of lawn is mowed, hence the rate is given as follows:
1100/7 = 157 square feet per minute.
It is more quickly than Killian's as the rate of change is greater.
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The points (-5, r) and (1, -16) lie on a line with slope -4. Find the missing coordinate r.
Answers
The missing coordinate of line is r = 8.
Define straight lineA straight line is a geometrical object that extends infinitely in both directions and has no curvature or bending. It is a one-dimensional object that is defined by two points on the line, called its endpoints, or by its slope and a point on the line.
the slope formula to find the slope of the line given two points:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
Plugging in the coordinates we have:
-4 = (-16 - r) / (1 - (-5))
Simplifying:
-4 = (-16 - r) / 6
Multiplying both sides by 6:
-24 = -16 - r
Adding 16 to both sides:
-8 = -r
Dividing both sides by -1:
r = 8
Therefore, the missing coordinate is r = 8.
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danielle wants to build a sandbox that has a perimeter of 46 feet. The length is 15ft. What is the width of their sand box?
Answers
Answer:
8 feet.
Step-by-step explanation:
Let's denote the width of the sandbox as "w".
We know that the perimeter of a rectangle is given by the formula:
Perimeter = 2(length + width)
So, we can plug in the given values:
46 = 2(15 + w)
Now, we can solve for "w":
46 = 30 + 2w
Subtracting 30 from both sides:
16 = 2w
Dividing by 2:
w = 8
Therefore, the width of the sandbox is 8 feet.
Majesty Video Production Inc. wants the mean length of its advertisements to be 35 seconds. Assume the distribution of ad length follows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 14 ads produced by Majesty.
Answers
a. The shape οf the distributiοn οf the sample mean time is nοrmal.
b. The standard error is 0.5345.
What is the standard deviatiοn?Standard deviatiοn is: It is a measure οf hοw spread οut numbers are. It is the square rοοt οf the Variance, and the Variance is the average οf the squared differences frοm the Mean.
Given that:
μ =35
σ = 2
n = 14
a. The shape of the distribution of the sample mean time is normal.
b. To calculate the standard error of the mean time, we would apply this formula,
Standard error :
[tex]$ \rm SE = \frac{ \sigma}{\sqrt{(n)} }[/tex]
[tex]$ \rm SE = \frac{ 2}{\sqrt{(14)} }[/tex]
SE = 0.5345
Thus, the standard error is 0.5345.
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Complete question:
Majesty Videο Prοductiοn Inc. wants the mean length οf its advertisements tο be 30 secοnds. Assume the distributiοn οf ad length fοllοws the nοrmal distributiοn with a pοpulatiοn standard deviatiοn οf 2 secοnds. Suppοse we select a sample οf 16 ads prοduced by Majesty.
a. What can we say abοut the shape οf the distributiοn οf the sample mean time?
b. What is the standard error of the mean time?
5/6 plus negative 4/9 minus negative 2
Answers
Answer:
Step-by-step explanation:
5/9 + (-4/9) - (-2)
5/9 - 4/9 + 2
[tex]5-4+18/9[/tex]
19/9 or 2.1, 2 1/9
Find the Volume of the triangular prism
Answers
For the given triangular prism, the volume value is obtained as Option B: 31.5 in³.
What is a triangular prism?
The pentahedron Triangular Prism contains nine different nets. The bases' vertices and edges are connected by means of their three rectangular sides. The rectangular sides of the triangular prism are joined to one another side by side. Every cross-section that is perpendicular to the base faces is a triangle.
The height of the triangular prism is given as 2 inches.
The base of the triangular prism is given as 7 inches.
The length of the triangular prism is given as 4.5 inches.
The volume of a triangular prism is given by the formula -
V = (1/2) × b × h × l
where b is the base of the triangle, h is the height of the triangle, and l is the length of the prism.
Substituting these values into the equation, we get -
V = (1/2) × 7 inches × 2 inches × 4.5 inches
V = 7 inches × 1 inch × 4.5 inches
V = 31.5 cubic inches
Therefore, the volume of the triangular prism is 31.5 cubic inches.
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A contractor buys 18 yd of nylon carpet and 20 yd of wool carpet for $1922. A second purchase, at the same prices, includes 18 yd of nylon carpet and 27 yd of wool carpet for $2286. Find the cost per yard of the wool
carpet.
Answers
Therefore, the cost per yard of wool carpet is $52.
Which equation would you use as an example?When two expressions are joined by the equal sign, a mathematical statement is referred to as an equation. 3x - 5 = 16 is an illustration of an equation.
Let x be the cost per yard of nylon carpet, and let y be the cost per yard of wool carpet.
From the information given in the problem, we can set up two equations based on the two purchases:
18x + 20y = 1922 (equation 1)
18x + 27y = 2286 (equation 2)
We want to find the cost per yard of wool carpet, y. We can solve for y by subtracting equation 1 from equation 2:
7y = 364
y = 52
Therefore, the cost per yard of wool carpet is $52.
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The product of two positive consecutive integers is 2 less than
twice their sum. Find the integers.
Answers
Answer:
The integers are 5 and 7.
Step-by-step explanation:
im 99% sure that is right! hope i helped!
All nine transactions for Ralston Sports Co. for September, the first month of operations, are recorded in the following T accounts:
Cash
(1)
(7)
(9)
(4)
(8)
(3)
(2)
25,000 (3)
11,900 (5)
9,700 (6)
(8)
James Ralston, Capital
(1)
Accounts Receivable
9,900 (9)
James Ralston, Drawing
7,000
Supplies
12,500
Fees Earned
(4)
(7)
Equipment
9,500
12,500
7,600
10,500
7,000
25,000
9,700
9,900
11,900
Answers
Answer:
Step-by-step explanation:
Cash
(1)
(7)
(9)
(4)
(8)
(3)
(2)
25,000 (3)
11,900 (5)
9,700 (6)
(8)
James Ralston, Capital
(1)
Accounts Receivable
9,900 (9)
James Ralston, Drawing
7,000
Supplies
12,500
Fees Earned
(4)
The circumference of the circle is 20 pi inches. What is the arc length of the shaded sector? Express the answer in terms of Pi. A circle. The shaded sector has an angle measure of 45 degrees. Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction. 2.5 pi inches 5 pi inches 7.9 pi inches 10 pi inches
Answers
The provided remark indicates that option (A) is accurate for 2.5 inches.
What length of time is an example?The measurement or size of something to end to end is referred to as its length. To put it another way, it is the bigger of the upper two or three dimensions of a geometric form or object. For instance, the length and width of a parallelogram define its measurements.
Using the given equation:
Arc Length / 20π = 45/360
Cross multiply:
Arc length × 360 = 20π x 45
Arc length x 360 = 900π
Divide both sides by 360:
Arc length = 900π / 360
Arc Length = 2.5 π inches.
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In ΔVWX, v = 33 inches, w = 57 inches and ∠X=147°. Find ∠W, to the nearest degree.
Answers
You want to create a simulation of the following scenario:
In country x 50% of people have blood type O, 25% have blood type A, 12.5% have blood type B, and 12.5% have blood type AB.
In country y, 60% have blood type O, 20% have type A, 10% have type B and 10% have type AB.
What is the best way to assign values for a simulation using random digits table?
Choose answer from photo below! A, B, C, or D : this is the answer I want, not just an explanation please, thank you so much! 100 points!
Thank you :)
Answers
The best way to assign values for a simulation using random digits table will be option A.
What will be the simulation?The best way to assign values for a simulation using a random digits table would be to use a table with at least 10 digits (0-9) in each row.
For Country X, we would assign Blood type O with the digits 0-5, Blood type A with digits 6-7, Blood type B with digit 8, and Blood type AB with digit 9. If a digit outside of these ranges is generated, it would be ignored.
For Country Y, we would assign Blood type O with the digits 0-5, Blood type A with digits 6-7, Blood type B with digit 8, and Blood type AB with digit 9. Again, if a digit outside of these ranges is generated, it would be ignored.
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log x / 3 + log y / 3 + logz / 3
how do you condense
Answers
Using the product rule of logarithms, we can condense the expression as follows:
log(x/3 * y/3 * z/3)
= log((xyz) / 27)
So, the condensed form of the given expression is log((xyz) / 27).
5 Question At what point does the MAXIMUM occur on the graph above? * pls help D: ( quiz)
Answers
Answer:
The answer would be C (1,4)
Step-by-step explanation:
The maximum refers to the highest point on the graph.
In this graph, the highest point lands 1 point to the right of zero and then four points up from there.
Making the maximum (1,4)
Answer:
Step-by-step explanation:
The maximum occurs at (1,4). The maximum is the highest point a function will reach. You can see on the graph that the highest point occurs when x = 1 and y = 4.
So the maximum is at (1,4)
A trick you can use to easily find it next time, imagine a horizontal line is coming down the graph from the top. When the line touches the function, that will be the maximum
Ice cream is packaged in cylindrical gallon tubs. A tub of ice cream has a total surface area of 183.69 square inches.
If the diameter of the tub is 6 inches, what is its height? Use π = 3.14.
A 2.25 inches
B 4.5 inches
C 6.75 inches
D 12.75 inches
Answers
Answer:
6.75 inches.
Step-by-step explanation:
[tex]183.69 = 2*3.14*3^2 + 2*3.14*3*h[/tex]
[tex]= 56.52 + 18.84h[/tex]
[tex]183.69 - 56.52 = 18.84h[/tex]
[tex]127.17 = 18.84h[/tex]
[tex]=\frac{127.17}{18.84}[/tex]
[tex]=6.75[/tex]
What is the scale factor?
Answers
The scaling factor for given transformation is 3.
What exactly is scaling factor?
The scaling factor, also known as the scale factor, is a value that indicates how much a geometric figure is enlarged or reduced. It is the ratio of the length of a side or dimension of the original figure to the length of the corresponding side or dimension of the new figure. The scaling factor can be greater than 1, which indicates an enlargement, or less than 1, which indicates a reduction. When the scaling factor is 1, the two figures are congruent, which means they have the same shape and size.
Now,
We can find the scale factor by comparing the corresponding side lengths of the two polygons. Let's start by finding the side lengths of the original polygon:
HI: √[(4-0)² + (-5+3)²] = √20
IJ: √[(6-4)² + (0-0)²] = 2
JK: √[(4-6)² + (5-0)²] = √41
KL: √[(0-4)² + (3-5)²] = √20
LH: √[(0-0)² + (-3+5)²] = 2
Now let's find the corresponding side lengths of the dilated polygon:
H'I': √[(12-0)² + (-15+9)²] = √600
I'J': √[(18-12)² + (0-0)²] = 6
J'K': √[(12-18)² + (15-0)²] = √600
K'L': √[(0-12)² + (9-0)²] = √600
L'H': √[(0-0)² + (-9+3)²] = 6
We can see that the side lengths of the dilated polygon are all 3 times as long as the corresponding side lengths of the original polygon. Therefore, the scale factor is 3.
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Which set of ordered pairs is made up of points on the graph of the function below?
y=-2x+8
A. (10,-1), (8,0), (1,6), (2,4)
B. (-1,10), (0,8), (1,6), (2,4)
C. (10,-1), (8,0), (6,1), (4,2)
D. (-1,10), (8,0), (1,6), (4,2)
Answers
Answer:0
Step-by-step explanation: just like you did on my question and stole the points :) xx
100 POINTS + BRAINLIEST!!
Answers
2x + 4x = 6x
(x+1)+ 2x = 3x + 1
(x+1)(2x) = 2x^2 + 2x
3x + (2x) = 5x
(3x)(2x) = 6x^2
Answer:
(2x)(4x)= 8x^22x + 4x = 6x(x+1)+ 2x = 3x + 1(x+1)(2x) = 2x^2 + 2x3x + (2x) = 5x(3x)(2x) = 6x^2
Step-by-step explanation:
hope this helped
a bag of rice has a mass of 3 kilogram s. Jackie buys 17 bags of rice for the school cafeteria . How many grams of rice did jackie buy?
Answers
Answer:51,000
Step-by-step explanation:
ther is 1000 grams every kilogram so 17x3 is 51 and 51x1000 is 51,000
greatest common factor of 4x+3x^2
Answers
X(4+3x)
How to do it:
Between 4 & 3 what’s the highest factor they share: 1
Do they both have X’s: yes
What’s the lowest amount of X’s:1
We plug in
1(highest factor)x( lowest amount X’s)
1x or x
1*4& 1*3
(Kind of hard to explain)
Write Slope=3 y-intercept=-1/2 in slope intercept form
Answers
Answer:
y = 3x - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 3 and c = - [tex]\frac{1}{2}[/tex] , then
y = 3x - [tex]\frac{1}{2}[/tex] ← equation of line
SOLVE THIS BUT I DON'T WANT ANSWER I WANT SOLVING AND ANSWER
50PTS
WILL MARK AS BRAINLIEST
50/1.428
Answers
Answer:
Alright
Step-by-step explanation:
50/1.428
Multiply the numerator by the denominator to get 50000/1428
Set equation up in long division format
Divide 50000 by 1428 to get 3
Divide 7160 by 1428 to get 5
Divide 200 by 1428 to get 0
Divide 2000 by 1428 to get 1
Divide 5720 by 1428 to get 4
Divide 80 by 1428 to get 0
Divide 800 by 1428 to get 0
35.014
6.
CRITICAL THINKING Consider AJKL.
Rotate AJKL 90° clockwise about the origin.
How are the x- and y-coordinates of AJ'K'L'
related to the x- and y-coordinates of AJKL?
a.
Answers
The x- and y-coordinates of AJ'K'L' are related to the x- and y-coordinates of AJKL, as x-coordinate of AJ'K'L' = -y-coordinate of AJKL and y-coordinate of AJ'K'L' = x-coordinate of AJKL.
Explain coordinate plane?We create the x-axis and y-axis in the coordinate plane. the origin, where the x- and y-axes cross, and the coordinates ( 0,0 ). The horizontal axis represents the x-axis. The vertical axis represents the y-axis. The first and second coordinates are for the horizontal and vertical axes, respectively. On the coordinate plane, coordinates are expressed by ( x ,y ). The x-coordinate stands for the first coordinate.
When a point is rotated 90° clockwise about the origin, its x-coordinate becomes the negative of its original y-coordinate, and its y-coordinate becomes the positive of its original x-coordinate.
So, for point A(x,y), its new coordinates after a 90° clockwise rotation about the origin would be A'(-y,x). Similarly, for point J, K, and L, their new coordinates would be J'(-yj,xj), K'(-yk,xk), and L'(-yl,xl) respectively.
Therefore, the x- and y-coordinates of AJ'K'L' are related to the x- and y-coordinates of AJKL as follows:
x-coordinate of AJ'K'L' = -y-coordinate of AJKL
y-coordinate of AJ'K'L' = x-coordinate of AJKL
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jay eats 2/3 of a pizza but if dan eats 4 times that amount how much did dan eat
Answers
Answer:
Dan eat 2 2/3 of a pizza
Step-by-step explanation:
the answer is above
Let
x-----> amount of pizza Jay ate
y-----> amount of pizza Dan ate
we know that
----> equation A
-----> equation B
substitute equation A in the equation B and solve for y
Convert to mixed number
Find the value of the following:
tan (sin-¹ // )
[?}√[
Give your answer in lowest terms.
Rationalize the denominator If necessary.
Enter the number that belongs in the green box.
Enter
Answers
The value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.
What are expressions?Mathematical statements called expressions must have a minimum of two words with either numbers, variables, or both, joined by an operator. The four different types of mathematical operators are addition, subtraction, multiplication, and division. For instance, the expression x + y is an expression where x and y are words with an addition operator between them. Mathematical expressions may be divided into two categories: algebraic expressions, which include both numbers and variables, and numerical expressions, which solely contain numbers.
The given expression is tan(arcsin (2/7)).
The value of arcsin(2/7) = 16.60
Now substitute the value:
tan(16.60) = 0.29
Hence, the value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.
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The trigonometric expression tan(arcsin (2/7)) has a value of 0.29.
What are trigonometric expressions?
Mathematical statements called expressions must have a minimum of two words with either numbers, variables, or both, joined by an operator.
The addition, subtraction, multiplication, and division operations are the four distinct categories of arithmetic operators.
For instance, the expression x + y is an expression where x and y are words with an addition operator between them.
Mathematical expressions may be divided into two categories: algebraic expressions, which include both numbers and variables and numerical expressions, which solely contain numbers.
The given expression is tan(arcsin (2/7)).
The value of arcsin(2/7) = 16.60
Now substitute the value:
tan(16.60) = 0.29
Hence, the value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.
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3. Factor puzzle. *Be sure to show work!
SHARED FACTORS
Each side of the square shares a factor with each of its neighboring sides.
Determine the missing values that make this statement true.
Answers
The missing values that make this statement true are as
x² + 9x + 14, x² - 3x - 10
x² - 2x - 15, x² + 10x + 21
What is the quadratic equation?
A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and x is the variable. The term "quadratic" comes from the Latin word "quadratus," which means "square."
First, let Xa, Xb, Xc, Xd = each factor
Xd = each factor which shows In the graph
Then, we can know that
Xa, Xb are the roots of x² + ___x + 14
Xb, Xd are the roots of x²= 3x - __
Xc, Xd are the roots of x² - __x - 15
Xa, Xc are the roots of x² + 10x + __
Xa * Xb = 14 Xd = 15/10 +Xa
Xb+ Xd = 3 14/Xa + 15/10 +Xa = 3
Xc* Xd = - 15 140 + 29Xa/Xa(10+Xa)
Xa + Xc = -10x 140 + 29Xa = 30Xₐ + 3Xₐ²
Xb = 14/Xa 3Xₐ² + Xₐ² - 140 = 0
14/Xa + Xd = 3 Xa1 = -7 Xa2 = 20/3
Xd = -15/-3 Xb1 = -2 Xb2 = 21/10
Xc = -10 -X1 Xc1 = -3 Xc2 = -30/3
Xc1 = -3 Xc2 = -30/3
Xd1 = 5 Xd2=9/10
There are two kinds of answers.
1) x² + 9x + 1x Xa1 + Xb1 = -9
x² - 3x + 10 Xb1 * Xd1 = -10
x² - 2x - 15 Xc1 + Xd1 = 2
x² + 10x + 21 Xa1 * Xc1 = 21
2)
x² - (263/30)x + 14 Xa2 * Xb2 = 263/30
x² - 3x - (-189/100) Xb2 * Xd2 = 189/100
x² - (413/30)x - 15 Xc2 + Xd2 = 413/30
x² + 10x + (1000/9) Xa2 * Xc2 = 1000/9
Hence, the missing values that make this statement true are as
x² + 9x + 14, x² - 3x - 10
x² - 2x - 15, x² + 10x + 21
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Smith, from Los Angeles, and Jones, from New York City, are both traveling to Kansas City, beginning their trips at the same time. The graph shows the distance in miles from Kansas City for each of them after they have both traveled for the same number of hours. After how many hours from the start of their journeys were they the same distance from Kansas City?
Answers
Answer: The answer should be 20 hours
Step-by-step explanation:
That is when the 2 lines meet up so that is when they are the same difference from Kansas City.
2. What is the y-intercept of the equation y =
a) (0,0)
(0, 12)
хо
Q
3. What is the domain of the equation y =
b) x # -4,0
د در
Ax#4
to
(x-3)(x-4)? (2A.2A)
c) (0,4)
بیرون
(x-3)(x-4) ? (2A.2A)
y=3
c) x #0
d) No y-intercept
4. What is/are the vertical asymptote(s) of the equation y = (x-3)(x-4) (2A.2A)
What we are t
a) x = 3
b) x = 0
x=4
d) x = 0 and x = 4
d) x # 4,0
+8
5. What is the horizontal asymptote of the equation y = (x-3)(x-4) (2A.2A)
b) y = 4
c) y = 1
d) y = 0
X-4 = 0
X=4
Answers
Because the x2 term's coefficient is positive, the function will rise without equation bound as x approaches infinity or negative infinity. As a result, no horizontal asymptote exists.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9".
The y-intercept of the equation y = (0,0) is the point on the line where it meets the y-axis and corresponds to the value of y when x equals 0. As a result, the equation y = 0's y-intercept is (0,0).
An equation's domain is the set of all possible values of x for which the equation is defined.
a) Because there are no constraints on the potential values of x, the domain of the equation y = x2 - 4x is all real integers.
b) The domain of the equation y = 1/(x-4) includes all real numbers except x = 4, which is undefined since division by zero is undefined.
c) Because the term within the square root must be non-negative, the domain of the equation y = sqrt(x-3)(x-4) is x >= 3.
As x approaches a specific value, the graph of the function approaches but never reaches vertical asymptotes. As the denominator of a rational function hits 0, they arise.
Because y = (x-3)(x-4) is not a rational function, it lacks vertical asymptotes.
A function's horizontal asymptote is a horizontal line that it approaches when x approaches infinity or negative infinity.
The dominant term in the formula as x gets extremely large or very tiny is x2, thus we can rewrite the equation as [tex]y = x2 - 7x + 12[/tex] .
Therefore, Because the x2 term's coefficient is positive, the function will rise without bound as x approaches infinity or negative infinity. As a result, no horizontal asymptote exists.
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