Identify the asymptotes. f (x) = x3−4x2−9x+8x2−6
Answers
the given function has no horizontal or vertical asymptotes.
To find the asymptotes of the given function, we need to analyze the behavior of the function as x approaches positive or negative infinity.
First, let's simplify the expression:
f(x) = x^3 - 4x^2 - 9x + 8x^2 - 6
= x^3 + 4x^2 - 9x - 6
As x approaches positive or negative infinity, the highest power term dominates the behavior of the function. Therefore, we can approximate the function as:
f(x) ≈ x^3 (as x → ±∞)
This means that the graph of the function approaches positive or negative infinity as x approaches infinity or negative infinity, respectively. Therefore, there are no horizontal asymptotes.
To find the vertical asymptotes, we need to look for values of x that make the denominator of the function equal to zero. However, the given function does not have a denominator, so there are no vertical asymptotes.
Therefore, the given function has no horizontal or vertical asymptotes.
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Related Questions
Select the correct answer from each drop-down menu.
Answers
Step 1: Start by drawing a circle.
Step 2: On the circle, choose any point. Label its endpoints A and C.
Step 3: Set the width of the compass larger than the radius of the circle. Draw arcs centered at A and C on each side of the diameter.
Step 4: Connect the arcs and the center of the circle. Label the points of intersection with the circle as B and D.
Step 5: Draw chords AB, BC, CD, and DA.
What is a circle?A circle is a fundamental geometric shape in mathematics. It is a two-dimensional figure that consists of all points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is known as the radius.
A circle is defined by its center and radius. The center is usually represented by the coordinates (h, k), where 'h' represents the horizontal position and 'k' represents the vertical position. The radius is the distance between the center and any point on the circle.
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Question 3 (1 point)
A machinist drilled a conical hole into a cube of metal as shown. If the cube has sides of length 8 cm, what is the volume of the metal after the
hole is drilled? Use as 3.14 and round to the nearest tenth.
b
333,4 cm
378.0 cm
cm
333.5 cm
351.2 cm
Answers
sam has $14 more than taylor. All togther they have $82. How much does Sam and Talor have?
Answers
Use the number line to represent the solution to 5x > 15
Select a ray. Move the point on the ray to the correct place on the number line.
Answers
The solution to the inequality expression is x > 3 and the number line is attached
How to determine the solution to the expression?From the question, we have the following parameters that can be used in our computation:
5x > 15
To start with, we divide both sides of the inequality expression by 5
So, we have the following representation
5x/5 > 15/5
Evaluate the quotient
So, we have the following representation
5x/5 > 3
Evaluate the quotient
So, we have the following representation
x > 3
So, the solution is x > 3
See attachment for the inequality graph
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Simplify the expression | -55 |
Answers
Answer:
55
Step-by-step explanation:
absolute value please give brainliest
answer: 55
Define and distinguish among positive correlation, negative correlation, and no correlation. How do we determine the strength of a correlation?
Define positive correlation. Choose the correct answer below.
A.
Positive correlation means that both variables tend to increase (or decrease) together.
B.
Positive correlation means that there is a good relationship between the two variables.
C.
Positive correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
D.
Positive correlation means that there is no apparent relationship between the two variables.
Answers
Positive correlation means that both variables tend to increase (or decrease) together. Thus, Option A is the answer.
Positive correlation refers to a relationship between two variables in which an increase in one variable is associated with an increase in the other variable. Negative correlation, on the other hand, refers to a relationship in which an increase in one variable is associated with a decrease in the other variable. No correlation means that there is no relationship between the two variables.
To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, a correlation coefficient of -1 indicates a perfect negative correlation, and a correlation coefficient of 0 indicates no correlation.
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The dog wash washes 30 dogs for charity. they had different prices for the dogs. big dogs cost $36.00, small dogs cost $12.50, and average size dogs cost $14.00. they made $559.00. there were 3 more small dogs than big dogs
Answers
There were 7 big dogs, 10 small dogs, and 13 average size dogs in total. The prices were $36.00 for big dogs, $12.50 for small dogs, and $14.00 for average size dogs.
Let's assume the number of big dogs is "x". The number of small dogs would then be "x + 3" since there were 3 more small dogs than big dogs.
The number of average size dogs would be 30 - (x + x + 3) = 30 - (2x + 3) = 27 - 2x.
The total revenue from the big dogs would be: x * $36.00.
The total revenue from the small dogs would be: (x + 3) * $12.50.
The total revenue from the average size dogs would be: (27 - 2x) * $14.00.
According to the given information, the total revenue from all the dogs is $559.00, so we can set up the following equation:
x * $36.00 + (x + 3) * $12.50 + (27 - 2x) * $14.00 = $559.00.
Now, let's solve this equation to find the value of "x" and calculate the number of dogs in each category.
36x + 12.5(x + 3) + 14(27 - 2x) = 559
36x + 12.5x + 37.5 + 378 - 28x = 559
20.5x + 415.5 = 559
20.5x = 559 - 415.5
20.5x = 143.5
x = 143.5 / 20.5
x ≈ 7
Therefore, there were approximately 7 big dogs.
The number of small dogs would be x + 3, which is 7 + 3 = 10.
The number of average size dogs would be 30 - (2x + 3), which is 30 - (2 * 7 + 3) = 30 - 17 = 13.
So, there were approximately 7 big dogs, 10 small dogs, and 13 average size dogs.
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The complete question is:
The dog wash washes 30 dogs for charity. they had different prices for the dogs. big dogs cost $36.00, small dogs cost $12.50, and average size dogs cost $14.00. they made $559.00. there were 3 more small dogs than big dog.How many big dogs, small dogs, and average size dogs did The Dog Wash wash for charity?
suppose that , , and are real numbers such that and . find . completely simplify and rationalize the denominator.
Answers
The value of the expression , where , , and are real numbers with and , we can rationalize the denominator and simplify the expression. The value of is .
Given the expression , we need to simplify it by rationalizing the denominator. We start by multiplying the numerator and denominator by the conjugate of the denominator, which is . This results in the expression . By using the difference of squares identity, we simplify the denominator to . Next, we can cancel out the common factors of 2 in both the numerator and denominator, which gives us . Simplifying further, we have . To find the value of , we need to determine the values of , , and . Since and , we substitute these values into the expression, which yields . Therefore, the value of is .
In summary, by rationalizing the denominator and simplifying the expression , we find that the value of is .
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How to Multiply six and the reciprocal of the quotient of a number and seven?
Answers
Answer:
Let N be the unknown number
The we have 6 x reciprocal of N/7 which is 6 x 7/N which is 42/N
HOPE THIS HELPS YOU
Multiply six and the reciprocal of the quotient of a number and seven can be written as 42/M.
Where M is the number.
Given,
Multiply six and the reciprocal of the quotient of a number and seven.
We need to find this expression.
What does quotient mean?
It means to divide.
The quotient of a and b:
= a ÷ b.
= a / b
Find the expression.
Let the number be M.
Now,
The quotient of a number and 7 can be written as:
= M ÷ 7
= M / 7
Reciprocal of the quotient of a number and seven.
= 1 / (M/7)
= 7 / M
Now,
Multiply six and the reciprocal of the quotient of a number and seven.
It can be written as:
= 6 x 7 / M
= 42 / M
Thus multiply six and the reciprocal of the quotient of a number and seven can be written as 42/M.
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a small chocolate sundae costs $3. each topping you add costs $0.50. how much would it cost to get a small sundae with P toppings added?
Answers
Answer:
3=0.5p
Step-by-step explanation:
The cost to get a small sundae with P toppings added represented as 3 + 0.5p.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let's consider the toppings added to the chocolate sundae represented by p.
We will use the unitary method,
The cost of topping added to one chocolate = $0.50
The cost of topping added to p chocolate = $0.5p
So, the cost to get a small sundae with P toppings added is;
3 + 0.5p
Therefore, the cost to get a small sundae with P toppings added represented as 3 + 0.5p
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Given A(2,14), B(2,3), C(4,2), and D(14,2) what is the distance of CD?
Answers
Answer: CD = 10
Step-by-step explanation:
Subtract the smaller one from the larger one.
D(14, 2) - C(4, 2)
First, you subtract the x-values:
14 - 4 = 10
Then, you subtract your y-values:
2 - 2 = 0
Since the y-value is 0 (since it is a straight line), your distance of CD is 10.
Hope this helps!
find the equation of the line tangent to the function at the given point. y=x^3-2x^2+4 at (1,3)
Answers
ANSWER
The equation of the line tangent to the function at the given point is:
\(y\text{ = -x + 4}\)STEP-BY-STEP EXPLANATION
The given equation is:
\(y=x^3-2x^2\text{ + 4 }\ldots\ldots\ldots\ldots\ldots..\text{ (1)}\)Step 1: Determine the 1st derivative of the equation
\(\begin{gathered} y=x^3-2x^2\text{ + 4} \\ \frac{d\text{ y}}{d\text{ x}}=y^{^{\prime}}=3x^{3-1}\text{ - 2}\cdot2x^{2-1}\text{ + }0 \\ y^{^{\prime}}=3x^2\text{ - 4x }\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots..\text{ (2)} \end{gathered}\)Step 2: To determine the slope (m) of the tangent line, insert the x-value (1) into the equation 2
\(\begin{gathered} y^{^{\prime}}=3x^2\text{ - 4x} \\ y^{^{\prime}}=3(1)^2^{}\text{ - 4}(1) \\ y^{^{\prime}}=\text{ 3 - 4} \\ y^{^{\prime}}=\text{ - 1} \end{gathered}\)Step 3: use the point-slope formula to determine the equation of the line tangent to the given function at x = 1
\(\begin{gathered} y\text{ - }y_1=m(x-x_1) \\ y\text{ - 3 = -1(x - 1)} \\ y\text{ - 3 = -x + 1} \\ y\text{ = -x + 1 + 3} \\ y\text{ = -x + 4 } \\ \end{gathered}\)Hence, The equation of the line tangent to the function at the given point is:
\(y\text{ = -x + 4 }\)=======================================================================
\(y=(-3x+6)^{\frac{1}{2}}\)1. Take 1st derivative
\(\frac{d\text{ y}}{d\text{ x }}=y^{^{\prime}}\text{ = }\frac{1}{2}(-3)(-3x+6)^{-\frac{1}{2}}\)\(y^{^{\prime}}\text{ = -}\frac{3}{2}(-3x+6)^{-\frac{1}{2}}\)2. insert the x-value (-1) to determine the slope (m)
\(\begin{gathered} y^{^{\prime}}\text{ = -}\frac{3}{2}(-3(-1)+6)^{-\frac{1}{2}} \\ y^{^{\prime}}\text{ = -}\frac{3}{2}(9)^{-\frac{1}{2}} \\ y^{^{\prime}}\text{ = -}\frac{3}{2}(\frac{1}{\sqrt[]{9}}) \\ y^{^{\prime}}\text{ = -}\frac{3}{2}\text{ }\cdot\text{ }\frac{1}{3} \\ y^{^{\prime}}\text{ = -}\frac{1}{2} \end{gathered}\)3. Now, determine the equation of the line tangent at (-1,3)
\(\begin{gathered} y-y_1=m(x-x_1) \\ y\text{ - 3 = -}\frac{1}{2}(x\text{ + 1)} \\ y\text{ = -}\frac{x}{2}\text{ - }\frac{1}{2}\text{ + 3} \\ y\text{ = -}\frac{x}{2}\text{ + }\frac{5}{2} \end{gathered}\)Assessing the regression model on data other than the sample data that was used to generate the model is known as _____. Group of answer choices approximation cross-validation graphical validation postulation
Answers
Assessing the regression model on data other than the sample data that was used to generate the model is known as cross-validation
How to complete the blank?From the question, we have the following highlights:
Sample data, not usedThe model is a regression modelWhen the sample data is not used in a regression model, then the term is known as cross-validation.
Hence, the term that completes blank is cross-validation
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7, -21, 63, ..
Find the 15th term of the geometric sequence
Answers
Geometric Sequence :
Every term in a geometric sequence is obtained by multiplying the term before it by the same number. \(A_{n}\) = \(a_{}\) \(r^{n-1}\) is the general term for it. The common ratio is denoted by the number 'r'. Any term in the sequence can be used to find it by dividing it by the term before it.
'a' is the first term of the sequence, n is the \(n^{th}\) term.
Given geometric sequence :
7 , -21 , 63 , ....
Here, first term = a = 7
common ratio = r = \(\frac{-21}{7}\) = -3
n = 15.
Then, \(15^{th}\) term = \(A_{15}\) = 7 x \((-3)^{15-1}\)
= 7 x \((-3)^{14}\) = 7 x 4,782,969
= 33,480,783 .
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What is the value of (5r + 1/5)2 when r = 0?
Answers
Answer:
Hi! The answer to your question is 1
Step-by-step explanation:
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A function assigns the values. The value of (5r+1/5)² when the value of r is 0 equals 0.04.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function g(r)=(5r+1/5)², therefore, the value of the function when r=0 will be,
g(r) = (5r+1/5)²
g(0) = [5(0)+1/5]²
g(0) = (1/5)²
g(0) = 1/25
g(0)=0.04
Hence, the value of (5r+1/5)² when the value of r is 0 equals 0.04.
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At Lara' party, 4 gallon of fruit punch are hared equally among 18 friend. How much fruit punch will each peron get?
Answers
Answer: About 0.2 gallons
Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.
Each of her friend will get 4 and a half gallons of juice.
What is division?Division is one of the four main arithmetical operations by which we find the equal distribution of something.
Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.
To find how much each of them got, we will divide total amount of punch by total number friends
Amount of juice each of them gets, = 18/4 = 4.5
Hence, Each of her friend will get 4 and a half gallons of juice.
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Can someone explain step by step ?
Answers
Answer:
e = 128
Step-by-step explanation:
All of the angles equal 180
26 + 26 = 52
180 - 52 = 128
How do you find the slope of a perpendicular line with an equation and point?
Answers
First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.
By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.
m = y/x = y/x = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line may be shown as
tan θ = Δy/Δx
A line's slope often indicates the steepness and direction of the line.
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m = y/x = y/x = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line may be shown as
tan θ = Δy/Δx
Let’s say we were only interested in testing whether 25% of rabbits had long fur – the breakdown between medium and short fur didn’t interest us. Our alternative hypothesis is that 25% of rabbits don't have long fur. Which test could we run?
Answers
The significant difference between the observed and expected proportions of rabbits with long fur is tested using chi square goodness of fit.
To test whether 25% of rabbits have long fur and our alternative hypothesis is that 25% of rabbits don't have long fur, you can use a Chi-Square goodness-of-fit test. Here's a step-by-step explanation:
1. Define the null hypothesis (H0): 25% of rabbits have long fur.
2. Define the alternative hypothesis (H1): 25% of rabbits don't have long fur.
3. Collect a random sample of rabbits and record their fur lengths (long, medium, or short).
4. Calculate the expected frequencies for each fur length category, assuming the null hypothesis is true (25% long fur, and 75% for medium and short fur combined).
5. Calculate the observed frequencies for each fur length category from your sample data.
6. Calculate the Chi-Square test statistic, χ², using the formula: χ² = Σ[(observed - expected)² / expected]
7. Determine the degrees of freedom (df) for the test, which in this case is 1 (since there are two categories: long fur and not long fur).
8. Compare the calculated χ² test statistic to the critical value from the Chi-Square distribution table, given your chosen significance level (e.g., 0.05) and the calculated degrees of freedom.
9. If the test statistic is greater than the critical value, reject the null hypothesis in favor of the alternative hypothesis. Otherwise, fail to reject the null hypothesis.
By following these steps, you can determine if there is a significant difference between the observed and expected proportions of rabbits with long fur.
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Find the 21st term of the AP -
Answers
Answer:
above is the solution to the question
Help meeee e e e e e e e e e e e. E e e e e e e e enjn
Bbj
Jsiskd no
Answers
Answer:
I am in grade 8 so i don't know this
Step-by-step explanation:
Answer:
i dont have the slightest clue
Step-by-step explanation:
man. i dont understand. Someone help her.
Using the weighted average approach to process costing, floridyne would use what number of equivalent units in 2019 to calculate the cost per equivalent unit for direct labor?
Answers
Floridyne would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.
How do we get the equivalent unit labor?Under weighted average, we do not make distinction between started and finished and just finished. Thus we work with finished and ending WIP only:
Finished 162,000
Ending - WIP 6,200 ending at 70% complete
Equivalent units for labor = Finished + Percentage of completion ending units
= 162,000 + 6,200 x 70%
= 166,340
Therefore, he would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.
Missing word "Floridyne, Inc. manufactures mouthwash. They had no finished goods inventory at the beginning of 2019. They have only one processing department for this product. A review of the company’s inventory records shows the following: At the beginning of January 2019, Floridyne has 4,500 gallons of mouthwash in process. (costs $8,410 for materials, 1,663 for labor and 4,990 for overhead) During 2019, Floridyne finishes/transfers 162,000 gallons of mouthwash. On December 31, 2019, Floridyne has 6,200 gallons of mouthwash that is 70% complete. Direct materials are added half at the beginning of the process and half after the process is 60% complete. During 2019 $349,000 of direct materials and $92,500 of direct labor were added. Using the weighted average approach to process costing,"
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Helppppp!!!! Ty ✨:)))))))))
Answers
Answer:
12/7 or 1 5/7
Step-by-step explanation:
6 * 2 = 12
so
12/7 = 1 5/7
Answer:
1.714 and/or 1 5/7
Step-by-step explanation:
You're welcome :P
Harry catches the train from Belfast to Dublin at 4pm.
The average speed of the train is 70mph and the distance from Belfast to Dublin is 105 miles.
What time does Harry arrive in Dublin?
Answers
Answer:
5:30 pm
Step-by-step explanation:
105/70 = 1.5
Estimate the product of 153 and 246 
Answers
The estimated product of 153 and 246 is 37500.
Estimating the product of 2 numbersIn order to estimate the product of 153 and 246, both numbers need to be rounded off to the nearest 10 as follows:
153 ≈ 150246 ≈ 250Next, the rounded numbers can be multiplied as follows:
150 x 250 = 37500
In other words, an estimate of the product of 153 and 246 is 37500.
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This is compliacted. 3 answers. Given: ΔWXY is isosceles with legs WX and WY; ΔWVZ is isosceles with legs WV and WZ.
Prove: ΔWXY ~ ΔWVZ
100 points
Answers
4. \(WX=WY, WV=WZ\)
6. Substitution property of equality
9. SAS similarity
what is the probability of choosing a card from a deck of cards that is a heart or a nine?
Answers
A painter leans a 30 foot ladder against one wall of a house. At what height
does the ladder touch the wall if the foot of the ladder is 10 feet from the base
of the wall?
Answers
Answer:
20ft
Step-by-step explanation:
The height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
\(|AC|^2 = |AB|^2 + |BC|^2\)
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Consider the diagram below.
We've got:
Length of the ladder = |AC| = 30 ftDistance between ladder's bottom and base of wall = |BC| = 10 ftHeight of wall from base to the point where ladder touches = |AB| is to be known.The wall is usually perpendicular to ground, therefore making 90° angle with it. Thus, ABC is a right angled triangle.
Using Pythagoras theorem in it, we get:
\(|AC|^2 = |AB|^2 + |BC|^2\\\\30^2 = |AB|^2 + 10^2\\|AB|^2 = 900 - 100\\\\|AB|^2 = 800\\\\\text{Taking sq. root of both the sides}\\\\|AB| = \sqrt{800} = \sqrt{ (\pm 20\sqrt{2})^2}\\\\|AB| = \pm 20\sqrt{2} \: \rm ft\)
But as length cannot be a negative quantity, so we get:
\(|AB| = 20\sqrt{2} \: \rm ft\)
Thus, the height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.
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Which of the following is equivalent to -12 + 3)?
12 + 31
– 12– 3
o 12 – 3
0 12 + 3

Answers
Answer:
\(12 - 3\)
Step-by-step explanation:
\(( - 12 + 3) \\ = 12 - 3 \\ =- 9\)
Hope it is helpful....What's the circumference of a
circle with a diameter of 22 inches? (use 3.14 for pi)
Answers
Answer:
69.08
Step-by-step explanation:
circumference is pi times diameter
22×3.14=69.08 inches
Answer:
C = 69.08 in
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Radius: r = d/2Circumference: C = 2πrStep-by-step explanation:
Step 1: Define
d = 22 in
Step 2: Find r
Substitute: r = 22 in/2Divide: r = 11 inStep 3: Find C
Substitute: C = 2π(11 in)Multiply: C = 22π inMultiply: C = 69.08 in