As a result, the vertical asymptotes of the function's curve will be at x=-5 and x=1 of quadratic equation .
what is function ?A function in mathematics is a formula that associates each element from a set (referred to as the domain) with a single element from another set (called the range). A machine that generates an outcome from an input (the independent variable) can be compared to a function (the dependent variable). Algebraic expressions or equations are frequently used to describe functions, such as f(x) = x2 + 3x - 2. In a coordinate plane, where the x-axis denotes the input values and the y-axis denotes the output values, they can also be graphically depicted as a curve or line.
given
Since division by zero is undefined, we must search for the values of x that cause the denominator of the function to equal zero in order to determine the vertical asymptote of a rational function.
The function is undefined at x=-5 and x=1 because the denominator of f(x) = (x-2)/(x2+4x-5) is a quadratic equation that can be factored as (x+5)(x-1).
As a result, the vertical asymptotes of the function's curve will be at x=-5 and x=1 of quadratic equation .
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State whether this is a polynomial and give reason to your answer. X²-4X-32
Answer:
Yes, it's a polynomial
Step-by-step explanation:
A polynomial is an expression that only involves operations of addition, subtraction, multiplication, and positive integer powers and variables.
Your expression fits the criteria. You could also make this into a binomial and get (x-8)(x+4).
Please answer my question that I posted. I'm stuck and I really need help.
dibuja una línea desde cada ecuación hasta la propiedad de igualdad que ilustra
By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.
What does Property of Equality means?The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.
As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.
Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"
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A real estate agent has 19 properties that she shows. She feels that there is a 30 % chance of selling any one property during a
week. The chance of selling any one property is independent of selling another property. Compute the probability of selling at
least 5 properties in one week. Round your answer to four decimal places.
Answer: This is a binomial probability problem. Let X be the number of properties sold during a week, then X has a binomial distribution with parameters n=19 and p=0.3.
The probability of selling at least 5 properties is:
P(X ≥ 5) = 1 - P(X < 5)
To calculate P(X < 5), we can use the binomial cumulative distribution function or the normal approximation to the binomial distribution.
Using the binomial cumulative distribution function, we have:
P(X < 5) = Σ P(X = k) for k = 0 to 4
Using the formula for the binomial probability mass function, we get:
P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
= (0.7)^19 + 19(0.3)(0.7)^18 + 171(0.3)^2(0.7)^17 + 969(0.3)^3(0.7)^16 + 3876(0.3)^4(0.7)^15
Using a calculator or statistical software, we get:
P(X < 5) = 0.95044
Therefore, the probability of selling at least 5 properties in one week is:
P(X ≥ 5) = 1 - P(X < 5) = 1 - 0.95044 = 0.0496 (rounded to four decimal places).
So the probability of selling at least 5 properties in one week is approximately 0.0496 or 4.96%.
Step-by-step explanation:
A parking space shaped like a parallelogram has a base of 17 feet and a height is 9 feet a car parked in the space is 16 feet long and 6 feet wide how much of the parking space is not covered by the car
Answer:
40) sorry if I'm wrong :<
is a function 4x + y = 2x -8
The equation defines y as a function of x, where the function has a slope of -2 and a y-intercept of -8.
If there is only one unique value of y for each value of x, then the equation 4x + y = 2x - 8 does not define y as a function of x.
The equation can be rewritten as y = mx + b, where m denotes the slope and b the y-intercept.
4x + y = 2x - 8
Taking 2x away from both sides:
2x + y = -8
When we take away 2x from both sides, we obtain:
y = -2x - 8
As a result, the equation establishes y as a function of x, with a y-intercept of -8 and a slope of -2.
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Number 5 I need help with only C
The probability of F P(F) = 0.33 and the conditional probability of F given G P(F|G) = 0.24. F and G is associated since they are not independent.
What is conditional probabilityConditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome. The conditional probability P(A|B) occur only in the case of dependent events. It gives the conditional probability of A given that B has occurred.
P(F|G) = P(F∩G) / P(G)
P(F∩G) = Probability of happening of both F and G
P(F) = 199/600 = 0.3317
P(F∩G) = 79/600 = 0.1317
P(G) = 330/600 = 0.55
P(F|G) = 0.1317/0.55
P(F|G) = 0.2394.
Two events say A and B are independent if the probability of occurrence of one of them is not affected by the occurrence of the other, mathematical expressed as P(A ∩ B) = P(A) × P(B)
P(F) × P(G) = 0.3317 × 0.55
P(F) × P(G) = 0.1824
P(F∩G) is not equal to P(F) × P(G) from the data given.
Therefore, the probability of F P(F) = 0.33 and the conditional probability of F given G P(F|G) = 0.24. F and G is associated since they are not independent.
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Need help on parabola problem
Answer:
x = 4
Step-by-step explanation:
please help me with this question
Answer:
f(x) = (x-5)(x+2)^2
Step-by-step explanation:
use desmos graphing calculator! it's very helpful and free :)
Answer:
From the graph,
The zeros of the function are at x= -2 and x= 5
But since at root -2,it doesn't cross the x axis, the root has even multiplicity
Ans:(x+2)^2 (x-5).....option B
6+2*6+20/4 can someone please answer this
The order of operations (also known as BODMAS) should be used to evaluate this expression:
6 + 2*6 + 20/4 = 6 + 12 + 5 = 23
So the answer is 23.
determine whether the pair of functions and inverse functions f(x)=6x-15 and g(x)=1/6x+5/2
The pair of functions are inverses, as their compositions result in x.
What is the composite function of f(x) and g(x)?The composite function of f(x) and g(x) is given by the following rule:
(f ∘ g)(x) = f(g(x)).
It means that the output of the inside function serves as the input for the outside function.
If two functions are inverse, the composites f(g(x)) and g(f(x)) both result in x.
The composite functions for this problem are given as follows:
f(g(x)) = f(x/6 + 5/2) = 6(x/6 + 2.5) - 15 = x + 15 - 15 = x.g(f(x)) = g(6x - 15) = 1/6(6x - 15) + 2.5 = x - 2.5 + 2.5 = x.Hence they are inverses.
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It took Matt 25 minutes to read a science article. It took him 13 times as long to read the assigned chapters in a history book. How long did it take Matt to read the history chapters?
The number of hours it would take to read the history chapters is 5 hours 25 minutes.
How long would it take to read the history chapters?In order to determine how long it would take to read the assigned chapters in the history book, multiply the time it take to read the science article by 13.
Multiplication is the mathematical operation that is used to determine the product of two or more values. The sign that is used to represent multiplication is x.
Time it would take to read the history chapters = 25 x 13 = 325 minutes
325 / 60 = 5 hours 25 minutes
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Find the last digit of the product of 2001 * 2003 * 2005 * 2007 * 2009... * 2017 * 2019?
The last digit of the product is 5.
How did we get the value?To find the last digit of the product of these numbers, we only need to focus on the last digit of each number, since the other digits do not affect the last digit of the product. We can observe that every odd number has a last digit of 1, 3, 5, 7, or 9. Therefore, we only need to consider the last digit of every fifth odd number in the given sequence.
The last digit of 2001 is 1.
The last digit of 2003 is 3.
The last digit of 2005 is 5.
The last digit of 2007 is 7.
The last digit of 2009 is 9.
The last digit of 2011 is 1.
The last digit of 2013 is 3.
The last digit of 2015 is 5.
The last digit of 2017 is 7.
The last digit of 2019 is 9.
To find the last digit of the product of these numbers, we need to multiply all of these last digits together. We can group the digits into pairs that multiply to 1, and there is one 5 remaining. Multiplying all of these digits together gives:
1 * 3 * 5 * 7 * 9 * 1 * 3 * 5 * 7 * 9 * 5 = 5
Therefore, the last digit of the product is 5.
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PLEASE HELP!! THIS IS DUE TONIGHT
The scale factor is 2/3 and the value of x and y are 9 and 10 respectively
What are similar shapes?Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors. Equal scale factors mean that the lengths of their corresponding sides have a matching ratio.
scale factor = length of new shape/ length of original
= 8/12 = 2/3
x = 6 ÷ 2/3
x = 6 × 3/2
x = 9
y = 15 × 2/3
y = 10
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Please provide steps for the answer
This represents the number of small rolls the club sold.
What is an Equations?Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides.
To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
In the equation 3s + 135 = 4.5 (s+10)
The equation 3s + 135 = 4.5(s + 10) can be used to represent this situation, where s represents the number of small rolls the club sold.
Hence, represents the number of small rolls the club sold.
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What is the meaning of "cannot always be added or multiplied"?
In addition to being novel, arbitrary matrices with complicated elements are viewed as having potential. It is based on I. Schur's theorem, which states that any complex matrix is valid.
What arbitrary mean in linear algebra?Any number of entries may be present in an arbitrary matrix. [a,b] [c,d] would be a random 2x2 matrix. Where all of the elements of some set (a, b, c, and d) (usually the real numbers.)
The definition of "arbitrary" is "undetermined; not assigned a specific value." As an illustration, the statement x+x=2x is true for any value of xR, whereas the statement x+x=2 is true only for the value x=1.
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50 POINTS. if needed rotate in top right corner
The length of the side of the square would be 12 inches.
What is a Square?A square is a two-dimensional plane object in geometry that has four equal sides and four equal but 90° angles. The characteristics of a rectangle and a square are somewhat similar, although a rectangle only has its opposite sides equal. As a result, a rectangle is only referred to as a square if its four sides are of the same length.
Given : side of the triangle = 16 inches
So, the perimeter of the triangle = 16+16+16
= 48 inches
Now, the wire is unbent and shaped into a square.
So, the length of the wire would be same.
Hence, we can say that:
Perimeter of triangle = perimeter of square
48 = 4 × side
So, side = 12 inches.
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Consider the parabola represented by this equation.
4x2 + 4x + 2y + 1 = 0
Which features are features of the parabola?
0
opens down
opens to the left
directrix at y = ㅎ
vertex at (-1,0)
directrix at x =
02/00
HELPPPP MEEEW
Answer:
a) opens down
c) directrix at y = 1/8
d) vertex at (-1/2,0)
Step-by-step explanation:
Starting from the given equation:
4x^2 + 4x + 2y + 1 = 0
We can rearrange to obtain the standard form of the equation of a parabola:
2(y + 1/2) = -4(x + 1/2)^2 + 1
(y + 1/2) = -2(x + 1/2)^2 + 1/2
Comparing to the standard form:
(y - k) = a(x - h)^2
We can see that the vertex of this parabola is at the point (-1/2, -1/2).
Next, we can find the axis of symmetry by noting that the parabola is symmetric about a vertical line passing through the vertex. This line is given by:
x = -1/2
We can also determine whether the parabola opens upward or downward by looking at the sign of the coefficient a. In this case, a = -2, so the parabola opens downward.
The distance between the vertex and the directrix is given by |1/(4a)|. Therefore, the distance between the vertex (-1/2, -1/2) and the directrix is:
|1/(4(-2))| = 1/8
So the directrix of the parabola is the horizontal line y = 1/8.
Therefore, the correct options are:
a) opens down
c) directrix at y = 1/8
d) vertex at (-1/2,0)
The other options are incorrect:
b) The parabola does not open to the left.
e) The directrix is not a vertical line at x = -3/8.
I am perplexed about how to calculate this:
For someone with a foot length of 29 cm, identify the 95% prediction interval estimate of their height and write a statement interpreting that interval.
CORRECT ANSWER: 177 cm < y < 200 cm
The 95% prediction interval for the height is given by the inequality 177 cm < y < 200 cm.
The interpretation is that we are 95% sure that the height of a person with a foot length of 29 cm is greater than 177 cm and less than 200 cm.
What are the inequality symbols?The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:
> x: the amount is greater than x -> the number is to the right of x with an open dot at the number line. -> points above the dashed horizontal line y = x on the coordinate plane.< x: the amount is less than x. -> the number is to the left of x with an open dot at the number line. -> points below the dashed horizontal line y = x on the coordinate plane.≥ x: the amount is at least x. -> the number is to the right of x with a closed dot at the number line. -> points above the solid vertical line y = x on the coordinate plane.≤ the amount is at most x. -> the number is to the left of x with a closed dot at the number line. -> points above the dashed vertical line y = x on the coordinate plane.In this problem, the bounds of the interval are given as follows:
y > 177cm -> greater than 177 cm.y < 200 cm -> less than 200 cm.We have a compound inequality, hence both conditions have to be respected simultaneously.
Missing InformationThere is not enough information to obtain the interval, hence we just interpret the given interval.
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Assume a class has 20 members. In how many ways can a committee of three be chosen?
As a result, there are 1140 different methods to select a committee of three from a group of 20 people.
what is probability ?The study of random occurrences or phenomena falls under the category of probability, which is a branch of mathematics. It is a way to gauge how likely something is to happen. Probability is expressed as a number between 0 and 1, with 0 denoting that the occurrence won't happen and 1 denoting that it will definitely happen. By dividing the number of favourable outcomes by the total number of possible outcomes, one can determine the probability of an occurrence. Numerous disciplines, including statistics, finance, engineering, and science, use probability extensively to forecast the chance of an event happening and base decisions on that forecast.
given
The following combination formula determines how many options there are to select a committee of three from a class of 20 members:
C(20, 3) = 20! / (3! * (20-3)!) = 20 * 19 * 18 / (3 * 2 * 1) = 1140
As a result, there are 1140 different methods to select a committee of three from a group of 20 people.
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The reading on a water meter in April and May are 417.8 kl and 430.4 kl. If there is a basic charge of 23 pesos and the cost per kl is 20 pesos, how much is the billing for water consumption between the two months?
Answer:
the billing for water consumption between April and May is 275 pesos.
Step-by-step explanation:
To find the billing for water consumption between April and May, we need to calculate the difference in the water usage as measured by the water meter.
The difference between the readings in April and May is:
430.4 kl - 417.8 kl = 12.6 kl
To calculate the cost of this water usage, we need to multiply the volume of water by the cost per kl and then add the basic charge.
The cost of the water usage is:
12.6 kl x 20 pesos/kl = 252 pesos
Adding the basic charge of 23 pesos, the total billing for water consumption between the two months is:
252 pesos + 23 pesos = 275 pesos
Therefore, the billing for water consumption between April and May is 275 pesos.
Write the equation of a rational function that has been reflected, shifted down 6, right 8, and stretched by a factor of 4.
To write the equation of a rational function that has been reflected, shifted 6 down, 8 to the right and stretched by a factor of 4, we have to start with the basic rational function which is:
f(x)= 1/xThe reflected function we multiply it by -1 resulting in: g(x)= -1/xHow to shift a function?To shift it down by 6, we must subtract 6 from the function, so we have:
h(x) = -1/x-6To shift the function to the right by 8, we substitute x for (x-8), finding this result:
i(x)= -1/(x-8)-6To stretch the function by a factor of 4, we have to multiply the denominator by 4, which will result in:
j(x)= -1/4(x-8))-6Therefore, the equation of the rational function will be:
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the sum is -7 and the difference is 14
Answer:
please give more information like what to find
3.5, -10.5
Step-by-step explanation:
what is the median? 0, 5, 10, 10, 12, 15, 15, 20, 25 30, 30, 35, 35, 45, 60
Answer:
The median of the given data is 20. To find the median, arrange the data in numerical order, and then take the middle value. In this case, the data is arranged in numerical order as 0, 5, 10, 10, 12, 15, 15, 20, 25, 30, 30, 35, 35, 45, 60. The middle value is 20, which is the median.
Answer:
17.5
Step-by-step explanation:
To find the median of a set of numbers, we need to arrange the numbers in order from smallest to largest and then find the middle value.
In this case, the numbers in the set arranged in ascending order are:
0, 5, 10, 10, 12, 15, 15, 20, 25, 30, 30, 35, 35, 45, 60
There are 15 numbers in the set, which means that the middle value is the eighth number. Since there are two numbers in the middle (15 and 20), we take the average of these two numbers to find the median:
median = (15 + 20) / 2 = 17.5
Therefore, the median of the set of numbers is 17.5.
Write and solve a problem involving money that can be solved with a division equation and has a solution of 1,350
The answer to this question is as follows equation As a result, each recipient will get $1,350.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
We must divide the total sum by three in order to distribute the funds among the three recipients equally. Let x represent the total sum that will be given to each recipient.
x = 4,050 / 3
x = 1,350
As a result, each recipient will get $1,350.
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which ratios have a unit rate greater than 1? choose all that apply 2 1/2 miles:3 hours 9/8 miles:5/6 hour 1/3 mile: 2 3/8 hours 9/5 miles:3 hours 4 miles:3 1/3 hours 7 miles: 3/4
Answer: The ratios that have a unit rate is 9/8 miles:5/6hours and 7miles: 3/4 hours
Step-by-step explanation:
Unit rate is the ratio of the distance travelled o the time taken.
For us to know which of the ratios has a unit rate greater than 1, we need to divide the distance by the time as shown;
If distance = 9/8 miles and time = 5/6 hours
Hence the ratio that has a unit rate is 9/8 miles:5/6hours
If distance = 7 miles and time = 3/4 hours
5. The numbers 3.111... and 3.222... are both rational numbers. What is an irrational number that is between these two rational numbers?
The irrational number that is between the numbers is 3.112...
How to determine the irrational number that is between the numbers?Given that
Numbers = 3.111... and 3.222....
The question states that the numbers are ratonal numbers
This is not true because the numbers are irrationa number dues to the ... appended to the numbers
Having said that
The irrational number between 3.111... and 3.222 is 3.112...
This is so because
3.111... < 3.112... < 3.222
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I’ll give BRAINLIEST if correct as well as 5star ratings
Answer:x=-4,-2
Step-by-step explanation:it is
Q.15. Bloom Pet Supplies makes a profit of $5.50 per bag on its line of dog food. Total expenses
associated with the sale of dog food stand at $2,500 per day. If the store wants to make a profit of
at least $5,225 per day, which inequality represents how many bags of dog food d the store must
sell to meet their goal?
A. 5.50d 2,500 ≥ 5,225
B. 5.50 2,500d ≥ 5,225
C. 5.50d +2,500 ≥ 5,225
D. 5.50 +2,500d ≥ 5,225
Answer:
Let's use option C to represent the relationship between the number of bags of dog food sold and the profit made:
Profit per bag of dog food = $5.50
Total expenses per day = $2,500
The store wants to make a profit of at least $5,225 per day.
If d represents the number of bags of dog food sold, then the profit made can be represented as:
Profit = Revenue - Expenses
Revenue = Profit + Expenses
Revenue = $5.50d + $2,500
To make a profit of at least $5,225 per day, we can set up the following inequality:
$5.50d + $2,500 ≥ $5,225
Simplifying:
$5.50d ≥ $2,725
Dividing both sides by $5.50:
d ≥ 500
Therefore, the store must sell at least 500 bags of dog food per day to make a profit of at least $5,225 per day.
The correct inequality that represents this relationship is option C: 5.50d +2,500 ≥ 5,225.
f(a) = 3a +5
g(a)=a²-4
Find f(-7) - g(-7)
The composite function when evaluated is -61
How to evaluate the composite functionFrom the question, we have the following functions that can be used in our computation:
f(a) = 3a +5
g(a)=a²-4
Using the above as a guide, we have the following equations
f(-7) = 3(-7) +5 = -16
g(-7) = (-7)²- 4 = 45
So, we have
f(-7) - g(-7) = -16 - 45
Evaluate
f(-7) - g(-7) = - 61
Hence, the solution is -61
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What is the least possible probability in any experiment
Answer:
0
Step-by-step explanation:
I remember learning this in math class. The smallest possible probability is zero meaning that event can't happen to be true.