A straight line that continuously approaches a certain curve without ever meeting it is an asymptote. In other words, an asymptote is a line that a curve travels towards as it approaches infinity.
How can the asymptote be found?Set the denominator to zero and solve for x to discover the vertical asymptotes. Set each factor to zero and solve as this has already been factored. The asymptotes are expressed as equations of lines since they are lines. Asymptotes for the vertical line are x = 3 and x = 1.
Infinity: Is it an asymptote?An asymptote of a curve in analytic geometry is a line where the distance between the curve and the line gets closer to zero as one or both of the x or y coordinates tends to infinity.
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9.) The transformation performed in the function[tex]f(x) = \frac{1}{2}^{-x}[/tex] is a reflection across the x-axis.
10.) The transformations performed in the function [tex]f(x) = -log_5(x-2)+17[/tex]are a reflection across the x-axis, a vertical shift upward by 17 units, and a horizontal shift to the right by 2 units.
12.) The horizontal asymptote of f(x) = 4^x + 6 is y = +∞.
What is the transformation of the function?
The term "transformation of a function" refers to the process of altering the appearance of a function, either by shifting, stretching, or reflecting it along the coordinate axes.
9.) The transformation performed in the function [tex]f(x) = \frac{1}{2}^{-x}[/tex] is a reflection across the x-axis.
10.) The transformations performed in the function[tex]f(x) = -log_5(x-2)+17[/tex]are a reflection across the x-axis, a vertical shift upward by 17 units, and a horizontal shift to the right by 2 units.
12.) The horizontal asymptote of f(x) = 4^x + 6 is y = +∞. As x approaches positive infinity, the value of 4^x approaches positive infinity, making the value of the function approach positive infinity.
Hence,
9.) The transformation performed in the function[tex]f(x) = \frac{1}{2}^{-x}[/tex] is a reflection across the x-axis.
10.) The transformations performed in the function [tex]f(x) = -log_5(x-2)+17[/tex]are a reflection across the x-axis, a vertical shift upward by 17 units, and a horizontal shift to the right by 2 units.
12.) The horizontal asymptote of f(x) = 4^x + 6 is y = +∞.
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23150 is bigger than what?
Tyler finds some nickels and quarters under the couch cushions. How much money (in cents) does he have if he has 10 nickels and 8 quarters? How much money (in cents) does he have if he has
n
n nickels and
q
q quarters?
By evaluating an equation we will see that the value of the coins is $5.
How much money does he have now?Each nickel is whorth $0.10 and each quarter is whorth $0.25, so the value for n nickels and q quarters is given by the equation below:
v = q*0.25 + n*0.10
Here we know thathe has 10 nickels and 8 quarters, replacing that we will get:
v = 8*0.25 + 10*0.10
v = 4 + 1
v = 5
The value is 5 dollars.
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what is the opposite of -(-3) I already tried 3 and +3 THEY DONT WORK PLEASE HELP
ok so to find the opposite of something like this you gotta simplify it first
a negative times a negative is a positive
-(-3) = 3
the opposite of 3 is... drumroll please... -3
Hope this helps,
- Jeron :- )
Answer:
-3
Step-by-step explanation:
-(-3) is just positive 3
The Martins' van can hold up to 8 passengers.
Debbie writes the inequality p <8, where p is the number of passengers that can fit in the van.
Select the choice that provides the best explanation for Debbie's error and the correct answer in this case.
00:00
Debbie should have used 8p because 8 passengers can fit in the van. The correct inequality is 8p < 1
00:00
Debbie should have switched the inequality symbol to greater than. The correct inequality is p > 8.
► 00:00
Debbie should have included 8 as a possible choice. The correct inequality is p < 9.
00:00
Debbie should have used the not equals sign to compare the two sides of the inequality. The correct answer is p = 8
Debbie should have included 8 as a possible choice. The correct inequality is p ≤ 8.
Debbie's error is that she did not include the possibility that exactly 8 passengers could fit in the van. Therefore, the correct inequality symbol to use would be less than or equal to, represented by "<=".
The correct inequality is p <= 8. This means that the number of passengers that can fit in the van is either less than or equal to 8. So, including 8 as a possible choice is also necessary to correctly represent the situation.
Hence the correct answer is C.
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--The given question is incorrect; the correct question is
"The Martins' van can hold up to 8 passengers. Debbie writes the inequality p <8, where p is the number of passengers that can fit in the van. Select the choice that provides the best explanation for Debbie's error and the correct answer in this case.
A. Debbie should have used 8p because 8 passengers can fit in the van. The correct inequality is 8p < 1
B. Debbie should have switched the inequality symbol to greater than. The correct inequality is p > 8.
C. Debbie should have included 8 as a possible choice. The correct inequality is p ≤ 8.
D. Debbie should have used the not equals sign to compare the two sides of the inequality. The correct answer is p = 8"--
I NEED HELP ASAP!! I WILL GIVE BRAINLEST!!
The prove of BC || AD is shown in below.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
⇒ ΔABE ≅ ΔCDE
Now, Prove of BC || AD is shown in below as;
⇒ ΔABE ≅ ΔCDE ( Given )
Hence, We get;
⇒ AB ≈ DC
Now, In triangle ΔBEC and ΔDEA;
⇒ ∠BEC = ∠AED (Vertically opposite angle)
⇒ BE = ED
⇒ AE = EC
Hence, By SAS congruency;
Triangle ΔBEC and ΔDEA are congruent.
Hence, We get;
⇒ BC = AD
Since, In a parallelogram ABCD;
⇒ AB = CD
⇒ AD = BC
Hence, We get;
⇒ BC || AD
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Find the slope of the line passing through each of the following pairs of points. (4, −8), (0, −2)
What is the surface area of this shape??? Help please!
The area of the composite figure is equal to 216 square inches
How to calculate for the area of the figureThe composite figure can be observed to be made up of six identical squares, so we shall calculate for the area of one square and then multiply the result by six to get the total area of the composite figure as follows:
area of a square = length²
area of the one square = 6 in × 6 in
area of the one square = 36 in²
total area of the composite figure = 36 in² × 6
total area of the composite figure = 216 in²
Therefore, the area of the composite figure is equal to 216 square inches.
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You pick a card at random. 1 2 3 4 What is P(1 or even)? Write your answer as a percentage.
The probability of drawing a 1 or an even number from the set {1, 2, 3, 4} is 75%.
There are four cards in the set {1, 2, 3, 4}, of which two are even (2 and 4) and one is odd (1). To find the probability of drawing a 1 or an even number, we can add the probabilities of each event occurring:
P(1 or even) = P(1) + P(even)
Since each card is equally likely to be drawn, each of these probabilities is equal to the number of cards that satisfy the condition divided by the total number of cards:
P(1) = 1/4 (there is one card with a 1)
P(even) = 2/4 = 1/2 (there are two cards with even numbers out of four)
Therefore,
P(1 or even) = P(1) + P(even)
= 1/4 + 1/2
= 3/4
To express the answer as a percentage, we can multiply by 100:
P(1 or even) = 3/4 * 100%
=> 75%
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The radius of a circle is 13 millimeters. What is the circle's circumference?
Answer:
Step-by-step explanation:
The formula for the circumference of a circle is 2 * π * r, where r is the radius of the circle.
Given that the radius of the circle is 13 millimeters, the circumference of the circle is:
2 * π * 13 = 26 * π millimeters
Since the value of π is approximately 3.14, the approximate circumference of the circle is:
26 * 3.14 = 81.64 millimeters.
Graph the solution set for the inequality
2/5*s +7>=3-4.2s
The solution of the inequality is:
s ≥ -0.86
And the graph can be seen on the image at the end.
How to find the solution set of the inequality?Here we want to find and graph the solution set of the inequality below:
(2/5)*s + 7 ≥ 3 - 4.2*s
To do so, first we need to isolate s in one of the sides, then let's do that:
(2/5)*s + 7 ≥ 3 - 4.2*s
(2/5)*s + 4.2*s ≥ 3 - 7
(2/5 + 4.2)*s ≥ -4
And we know that 4.2 = 21/5
Then:
(2/5 + 21/5)*s ≥ -4
(23/5)*s ≥ -4
s ≥ -4*5/23
s ≥ -20/23
s ≥ -0.86
The graph of this will something like the one below:
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see photo below, thank you!!
The statements that are true are:
The x-coordinate of the solution is 1.
The y-coordinate of the solution is -1.
What is the Solution to a System of Equations that is Graphed?The solution to a system of equations that is graphed is the point at which the two lines intersect. The coordinates of the intersection point are the solution to the system of equations.
In other words, if we have two lines represented by two linear equations, the solution to the system of equations is the point where the two lines intersect. This point is unique and it satisfies both equations simultaneously.
Therefore, the graph shows that both lines intercept at (1, -1). Therefore, the statements that will be true are:
The x-coordinate of the solution is 1.
The y-coordinate of the solution is -1.
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PLSSSS HELP IF YOU TURLY KNOW THISSS
Answer:
x/3 + 5 = 10
Move 5 to the side
x/3 = 5
Multiply both sides by 3
2x/3 = 15
Simplify
x = 15
Which of the following points lie in the solution set to the following system of inequalities?
y > −3x + 3
y > x + 2
(2, −5)
(−2, 5)
(2, 5)
(−2, −5)
The solution of the inequalities y > −3x + 3 and y > x + 2 will be (2, 5). Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The system of inequalities is given below.
y > −3x + 3
The region above the line is considered.
y > x + 2
The region above the line is considered.
The overlap portion of the region is the solution. Point (2, 5) lies in that region.
The solution of the inequalities y > −3x + 3 and y > x + 2 will be (2, 5). Then the correct option is C.
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The product of 2.5 x 2 is five. Is that true? Or false.
Answer:
True
Step-by-step explanation:
2.5 times 2 = 5
So, the answer is true.
Lincoln High School’s basketball team won the regional playoffs scoring a
total of 60 points, not including free throws. The team made a total of 26
baskets; some were 2-point shots, and the rest were 3-point shots. How
many 2-point shots did the team make?
8
12
13
18
Answer:
18 2-point shots.
Step-by-step explanation:
Two equations.
First modeling 2 point and 3 point shots as x and y.
2x + 3y = 60
Second, modeling the number of shots.
x + y = 26
Which you can alter to substitute.
x = 26 - y
Substitute.
2(26 - y) + 3y = 60
52 - 2y + 3y = 60
y = 8
The team made 8 3-point shots and 18 2-point shots.
A loan of $5000 is to be repaid in three equal installments due 60, 120, and 180 days after the date of the loan. If the focal date is the date of the loan and interest is 6.9% p.a., compute the amount of the installments.
Answer: The interest for the loan for each day is 5000 x 6.9/100 = $345.
For the first installment, the interest will be for 60 - 1 = 59 days. So, the interest for this period will be 59 x $345/365 = $166.55.
The first installment will be $5000 + $166.55 = $5166.55.
For the second installment, the interest will be for 120 - 60 = 60 days. So, the interest for this period will be 60 x $345/365 = $168.76.
The second installment will be $5000 + $168.76 = $5168.76.
For the third installment, the interest will be for 180 - 120 = 60 days. So, the interest for this period will be 60 x $345/365 = $168.76.
The third installment will be $5000 + $168.76 = $5168.76.
Therefore, each installment will be $5166.55, $5168.76, and $5168.76.
Step-by-step explanation:
help me on this que please
Answer:
18 and A i think
Step-by-step explanation:
i don t really know if this is right but since it only asks the area of E and not the whole cuboid
9 × 2 = 18
A also equals to 18 because it has the the same width and length as E.
hope this helps
HELP PLEAASE i need answer nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
The correct descriptions of the given numbers are as follows:
√30 - Real, Irrational root-26 - Real, Rational, Integer√64 - Real, Rational Root, Whole Number1/4 - Real, Rational0.36336333633336.... - Real, Irrational decimal0.42424242..... - Real, Rational decimal✓ 7, or 7i - Imaginary NumberWhat are rational and irrational numbers?A rational number is one that can be written as P/Q, where P and Q are both integers and Q is greater than zero. An illustration of a rational number is 2/3.
However, an irrational number cannot be expressed using straightforward fractions. An example of an irrational number is √2.
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5. Each of the letters of the word 'SUCCESS' is written on a card and all the cards are placed into a bag. A card is randomly selected from the bag. Find the probability that the card bears:
(a) the letter 'S'
(b) a vowel
(c) letter 'A'
Answer: look at the image for the answer, and give me brainliest
Step-by-step explanation:
Answer:
(a) 3/7
(b) 2/7
(c) 0 or Impossible
Step-by-step explanation:
(a) There are seven letters in total. Three of the letters are s. Therefore out of the seven cards, three are the letter s. - 3/7
(b) Again there are seven letters in total. Two of the letters are vowels. Therefore out of the seven cards, two are vowels. - 2/7
(c) Yet again there are seven letters in total. None of the letters are a. Therefore out of the seven cards, none are the letter a. It is impossible to get the letter a - 0/7
Hope this helps :)
Express the function graphed on the axes below as a piecewise function.
The function that represents the graph which is piecewise function is written as y = -5, x = 0 and y = - 6, x ≠ 0.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The equation of the line that is parallel to x-axis is given as,
y = c
The equation passes through (1, -6), then we have
-6 = c
Then the equation is given as,
y = -6, x ≠ 0
And the other equation is given as,
y = - 5, x = 0
Then the piecewise function is given as,
y = -5, x = 0
y = - 6, x ≠ 0
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A rocket is launched from the ground. It reaches a maximum height of 45 meters in 3 seconds and then lands back on the ground after 6 seconds. What is the function, written in standard form,
that models the trajectory of the rocket? (use shift 6 for the power and no spaces)
f(x) = type your answer...
Check the picture below.
so from the provided information, we can say that the parabola has a vertex at (3 , 45) and it has a zero at (6 , 0) or we can say is just another point at (6 , 0)
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=3\\ k=45\\ \end{cases}\implies y=a(~~x-3~~)^2 + 45\hspace{4em}\textit{we also know that} \begin{cases} x=6\\ y=0 \end{cases} \\\\\\ 0=a(6-3)^2+45\implies -45=9a\implies \cfrac{-45}{9}=a\implies -5=a \\\\\\ ~\hfill {\Large \begin{array}{llll} y=-5(x-3)^2 + 45 \end{array}} ~\hfill[/tex]
When Richard moved to Clover Hills one year ago, it had a population of 3,650. Today, the
population has increased to 3,869, and it is expected that the population will continue to
increase each year.
Write an exponential equation in the form y = a(b) that can model the Clover Hills
population, y, x years after Richard moved there.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y=
DO
(0)
To the nearest hundred people, what can Richard expect the population to be 4 years after he
moved there?
people
O
M
31
K
%
Richard can expect the population to be 4,100 people 4 years after he moved there.
How to calculate the functionTo model the population growth, we can use an exponential equation in the form y = a * b^x, where a is the starting population (3,650), b is the growth factor, and x is the number of years after Richard moved there.
To find the value of b, we can use the population growth between the first year (x = 1) and the second year (x = 2). Let's call the population at x = 2 as P.
P = a * b^2
P = 3,869
Substituting the values, we get:
3,869 = 3,650 * b^2
Dividing both sides by 3,650, we get:
b^2 = 1.06
Taking the square root of both sides, we get:
b = 1.03
So, the exponential equation that models the Clover Hills population is:
y = 3,650 * 1.03^x
To find the population 4 years after Richard moved there (x = 4), we can substitute x = 4 into the equation:
y = 3,650 * 1.03^4
y = 3,650 * 1.129
y = 4,123.738
Rounding to the nearest hundred people, we get:
y = 4,100 people
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Two parallel lines are cut by a transversal.
1/2
3/4
5/6
7/8
If the measure of 2 is 75°, what is the measure of 5?
A.) 180°
B.) 75°
C.) 105°
D.) 90°
The value of the measure of 5 is,
⇒ ∠5 = 105°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Two parallel lines are cut by a transversal.
And, the measure of 2 is 75°.
Here, Angle 2 and 3 are vertically opposite angle.
Hence, angle 2 and 3 are equal.
And, Angle 3 and 5 are adjacent angle.
Hence, We get;
⇒ ∠3 + ∠5 = 180°
⇒ 75 + ∠5 = 180°
⇒ ∠5 = 180 - 75
⇒ ∠5 = 105°
Thus, The value of the measure of 5 is,
⇒ ∠5 = 105°
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Graph the line through (2, - 1) with m= 3.
Answer:
shown below
Explanation:
so first you can graph a dot at (2,-1), since it must go through that line. Then you can use the slope, 3, to figure out the next dot. The slope 3 can be put into a fraction, liking like 3/1. Then you use rise/run from your point (2,-1). You go up 3, and right 1. Using that, your next point is (3,2). Plot that dot, and then use a straight edge to draw your line. It looks like how it is in the picture.
there are 4 defective items in a lot consisting of 10 items. from this lot we select 5 items at random. the probability that there will be 2 defective items among them is
the probability of that there will be 2 defective items among them is 0.476 or 47.6%.
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Calculating the possibility of an event occurring is the focus of the math discipline of probability. Probability gauges the likelihood of an event occurring.
there are 4 defective items in a lot consisting of 10 items.
from this lot we select 5 items at random.
The number of ways in which 55 items can be selected 10 C 5 = 252.
Number of ways in which 2 defective systems and 3 non-defective systems can be selected
4C2 * 6C3 = 6*20=120
The probability = 120 / 252 = 0.476
Hence the probability of that there will be 2 defective items among them is 0.476 or 47.6%.
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Shape D is a reflection of Shape C in the dashed line. Work out length x
Answer:
X= 5
Step-by-step explanation:
If shape D is a reflection of shape C then the distance between the shape and the y-axis will be the same on both sides; so, if shape C has a 5cm distance between it and the y-axis, shape D will also have 5cm distance between it and the y-axis.
Learning is a complex set of processes that may vary according to the developmental level of the learner, the nature of the task, and the context in which the learning is to occur. As already indicated, no one theory can capture all the variables involved in learning. References:Gredler, M. E. -2001. Learning and instruction: Theory into practice (4th Ed. ). Upper Saddle, NJ: Prentice-Hall. A learning theory, there, comprises a set of constructs linking observed changes in performance with what is thought to bring about those changes. References:Driscoll, M. P. -2000. Psychology of learning for instruction (2nd Ed. ). Needham Heights, MA: Allyn
Option B is the correct answer which is Paraphrasing plagiarism true for the Student Version.
It can be defined as the student's version displaying paraphrasing plagiarism.
This implies that the student was unable to make an appropriate in-text citation with the name of the author and date to display the reference to the original source.
The student's version also displays 'paraphrasing plagiarism' when the student was unable to make an appropriate in-text citation with the name of the author and date to display with reference to the original source.
An in-text citation is necessary despite the student paraphrasing the information and citing its bibliographical reference in order to avoid plagiarism.
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Full question:
In the case below, the original source material is given along with a sample of student work. Determine the type of plagiarism by clicking the appropriate radio button.
Original Source Material
Student Version
Learning is a complex set of processes that may vary according to the developmental level of the learner, the nature of the task, and the context in which the learning is to occur. As already indicated, no one theory can capture all the variables involved in learning.
References:
Gredler, M. E. (2001). Learning and instruction: Theory into practice (4th Ed.). Upper Saddle, NJ: Prentice-Hall.
A learning theory, there, comprises a set of constructs linking observed changes in performance with what is thought to bring about those changes.
References:
Driscoll, M. P. (2000). Psychology of learning for instruction (2nd Ed.). Needham Heights, MA: Allyn & Bacon.
A learning theory is made up of "a set of constructs linking observed changes in performance with whatever is thought to bring about those changes" (Driscoll, 2000). Therefore, since "learning is a complex set of processes that may vary according to the developmental level of the learner, the nature of the task, and the context in which the learning is to occur, it is apparent that no one theory can capture all the variables involved in learning" (Gredler, 2001).
Which of the following is true for the Student Version above?
Word-for-Word plagiarism
Paraphrasing plagiarism
This is not plagiarism
Helen has 90 stamps. The number of stamps that Helen has is 25% more than Peggy has. Find the number of stamps Peggy has.
Answer: 67.5
Step-by-Step:
If Helen has 90 stamps, then 50% of what she has is 45 stamps. Half of 45 is 22.5 which is 25% of what Helen has. To find out how many stamps Peggy has, we'll have to do 90 - 22.5 which is 67.5.
Which is the graph of f(x)=2(3)x?
The first graph represents [tex]f(x)=2(3) ^x[/tex].
Graph of a function:
All of the plane's points having the form (x, f(x)) that make up a function f's graph are gathered together. The graph of f is also referred as the graph of y = f. (x).
The given function is,
[tex]f(x)=2(3)^x[/tex]
Putting x = 1,
[tex]f(x)= 2(3)^1=6[/tex]
The point (1, 6) that is (x, f(x)) must therefore satisfy the condition or be on the curve of the function.
Only in case of the first graph, the point (1, 6) lies on the curve.
As a result, the first graph accurately depicts the function.
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-5x - 4y = -12
Convert from standard form slope intercept form
Answer:
y = -5/4x + 3
Step-by-step explanation:
slope-intercept form is: y = mx + b
where 'm' represents slope and 'b' represents the y-intercept
basically we have to solve for 'y':
first step, add -5x to each side to get:
-4y = 5x - 12
last step, divide each side by -4 to get:
y = -5/4x + 3
slope equals -5/4
y-intercept equals 3