The mirror image of (2,5) in y-axis is (-2,5)
The term mirror image of the point is a reflected duplication that appears identical but in reverse.
Here we have given point is (2, 5).
And we have to find the mirror image of this point with respect to the y-axis that is the mirror image is a point whose distance is same from the origin O (0, 0) and same from both axes as of the point (2, 5) is.
As we all know that (2, 5) lies on the first quadrant, then the mirror image with respect to the y-axis must lie on the second quadrant.
And we all also know that In second quadrant, here the x-coordinate of any point (x, y) is negative.
Therefore, while we looking into the given graph we have identified that the mirror image is (- 2, 5).
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If 3x+14=26, which of these equations is true?
Answer:
x=4
Step-by-step explanation:
3x+14=26
3x=26-14
3x=12
x=12/3
x=4
Answer: x = 4
Let's solve your equation step-by-step:
3x+14=26:
Step 1: Subtract 14 from both sides.
3x+14−14=26−14
3x=12
Step 2: Divide both sides by 3.
3x/3 = 12/3
x=4
based on the data provided, does this algorithm run in a reasonable or unreasonable time? explain your answer
As a result, the answer to the provided linear equation problem is that the iteration runs in an acceptable amount of time and does not rise exponentially.
What exactly is a linear equation?A linear equation is represented by the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "simple formula with 2 factors," where both y and x are variables, is what the previous sentence was referred to as. Calculations with two variables are referred to as "bivariate linear equations." Here are a few illustrations: 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3 are the results. A mathematical equation is considered to be linear if its solution has the format y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Based on how quickly iterations rise as input increases, fair and unreasonable algorithms can be distinguished. Since the algorithm does not grow exponentially, we can infer that it completes in an acceptable amount of time.
assessing the mathematical function that represents the algorithm's growth rate when input is added;
200 = 10k, where k is the proportionality constant.
k = 200/10
k = 20
The function that represents the number of iterations is as a result:
I = input size; n = 20i; represents the number of iterations.
As a result, the answer to the provided linear equation problem is that the iteration runs in an acceptable amount of time and does not rise exponentially.
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What is 85 divided by 4973?
Name the property that is shown by each equation.
A. 6a + 4 = 4 + 6a
B. 30 + 60 = 15(2 + 4)
C. 3(8x + 4) = 3(4 + 8x)
D. 4(6a) = (4 · 6)a
A. Commutative property of addition
B. Distributive property
C. Commutative property of addition
D. Associative property of multiplication
Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. y < c - 1 y > x -4
The graph of the inequality system is attached. The coordinate of a point in the solution set is (-1, 2).
In order to graph the system of inequalities graphically, consider the equation of each inequality.
y = x – 1
y = x - 4
Choosing a few values of x, plot the graph for each equation. Shade the area bounded by the line based on the inequality. If the inequality is less than, shade the area right to the line and if the inequality is greater than, shade the area left to the line. Hence, y < x – 1 is represented by red area and y > x – 4 is represented by blue area. The overlapping shaded area contains the coordinates that represent the solution of the inequality system. The coordinate of a point in the solution set is (-1, 2).
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Please help!! ;(((( I’m struggling
On solving the provided question, we can say that - the function value will be [tex]g(x) = -3 + 12x + 15[/tex] and
what is function?The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.
Here,
[tex]y =a(x-x1)(x-x2),[/tex] y equals a(x-5)(x+1)
g(x) = -3(x-5)(x+1)
[tex]g(x) = -3(x-5)(x+1)[/tex]
g(x) = -3 + 12x + 15
y-intercept of g(x) is (0,15)
Therefore , the solution to the given problem of the equation comes out be y-intercept of g(x) is (0,15).
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Which is the complete factorization of this expression?
-20x - 5y
A)5(4x+y)
B) 4(5x - y)
C) -5(4x + y)
D)-5(4x - y)
Factor -20 x-5 y, where x+y=4 and x+y=5. Our prime numbers become much, much harder to factor as we add a few extra digits.
What is meant by factorization ?When you factor in mathematics, you divide a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the division of an amount into its factors or divisors. The factorization of the integer 12, for instance, might be 3 times 4 or something similar. [tex]N = X^{a} * Y^{b} * Z^{c}[/tex] is used to represent the general factorization formula. In this instance, X, Y, and Z stand for a number's factors. Get a polynomial's GCF (Greatest Common Factor).
GCFs of polynomials should be factored out. By grouping the terms, factor a polynomial with four terms. trinomial of the form, and factor it. The size of our goods and the size of the data we use to check mean that each check takes an average amount of time longer. It is clear from this that factoring the product becomes significantly more difficult when we add a few digits to our prime integers.
Therefore the correct answer is option A)5(4x+y)
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Limx→0 e^x -e^5/ x-5
Answer:e5
Step-by-step explanation:
Here you go
I need help on these questions please help . ignore the writing
You will always get one triangle. This is because of the Triangle Angle Sum Theorem, which states that the sum of the measures of the angles of a triangle is always 180°.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon.
The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
The inner angles of every triangle sum up to 180°, 180°, 180°, 180°. Angles in a triangle are the total (sum) of the angles at each of its three vertices.
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tell which number is greater 56%, 5.6.
Answer:
5.6
Step-by-step explanation:
56% = 0.56
5.6 > 56%
1 3/8 - 1/12 as a fraction
Answer:
31/24 or 1 7/24
Step-by-step explanation:
1 3/8 in an improper fraction is 11/8:
1 times the denominator (8)= 8, add the numerator (3), and get 11
then keep the original denominator
multiply 11/8 by 3 to get 33/24
multiply 1/12 by 2 to get 2/24
now you have the same denominator and can subtract
33/24-2/24= 31/24
At a banquet hall there are 25 tables that seat 4 people and 30 tables that seat 6 people. There are no other tables in the banquet hall. What is the ratio of the number of tables that seat 4 people to the total number of tables in the banquet hall?
Answer:
1:11
Step-by-step explanation:
We know
There are 25 tables that seat 4 people
First, we find the total number of tables by taking
25 + 30 = 55 tables
Then we find the ratio of tables that seat 4 people to the total number of tables by
5 / 55 = 1/11 = 1:11
So, the ratio is 1:11
Question 8(Multiple Choice Worth 4 points) (02.01 MC) Identify the types of sampling errors that exist in the following sampling designs: The local newspaper plans to make a prediction for a senatorial election based on a survey of its readers. A radio show asks people to phone in their views on whether the United States should pay off its debt to China. A new social media website chooses to survey the first 50 members who join to determine whether members favor the appearance of the homepage.
Answer: Nonresponse, voluntary, and convenience.
Step-by-step explanation:
For the first question, it should be noted that everyone cannot respond as only the people who have strong opinions will respond. Therefore, it's a nonresponse error.
For the second question, the people will have to volunteer. Therefore, it's a voluntary bias while the third one is a convenience sample as it's an easily available sample.
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Ramiro aked 60 random people from hi chool how they ue the library. Ue the information from Ramiro’ repreentative ample to make prediction about the chool-wide reult. The chool ha 540 tudent
Yes it is possible to make the prediction about Ramiro's School but not completely.
It is possible to use the information from Ramiro's sample to make predictions about the school-wide results, but it is important to note that the sample may not be fully representative of the entire population of students at the school. There may be sampling biases or other factors that affect the results.
With that said, based on the information provided, we can calculate the proportion of students in Ramiro's sample who use the library in a certain way, and then use that proportion to estimate the number of students at the school who use the library in that way.
For example, if Ramiro's sample shows that 40 out of the 60 people he surveyed use the library to study, we can estimate that approximately 40/60 = 67% of the school's students use the library to study. We can then use this proportion to estimate that approximately 540 x 67% = 361 students at the school use the library to study.
It's important to note that these predictions are based on sample data and they may not be accurate. To make more accurate predictions, a larger, more representative sample would be needed.
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Daija is creating a budget, and evaluating his purchases over the last month. Consider the following code segment which attempts to find the sum of all purchases made in the last month, stored in purchased List. N ← 1 sum ← 0 REPEAT UNTIL () { sum ← sum + purchase List[n] n ← n + 1 } What code can replace missing code to assign the total of all values in purchase List to sum
The missing code that can replace to assign the total of all values in purchase List to sum, is: REPEAT UNTIL (n > purchaseList.length)
What is syntax of REPEAT UNTIL?The syntax for a REPEAT UNTIL loop in most programming languages is as follows:
REPEAT {
// code to be executed
} UNTIL (condition)
or
DO {
// code to be executed
} UNTIL (condition)
What is looping?Looping is a programming construct that allows a certain block of code to be executed repeatedly. The two main types of loops are for loops and while loops.
A for loop is used to execute a block of code a specified number of times. It typically starts with a variable initialization, then a condition is checked, and if the condition is true, the code block inside the loop is executed, and then the variable is updated.
The missing code that can replace the empty parentheses in the REPEAT UNTIL statement to assign the total of all values in purchase List to sum, is:
REPEAT UNTIL (n > purchaseList.length)
This means that the loop will continue to execute until the value of n is greater than the length of the purchaseList. In each iteration, the value of purchaseList[n] is added to the sum, and then n is incremented by 1. So, this loop will iterate through all the elements in the purchaseList, adding each one to the sum, until it reaches the end of the list. This will give the total sum of all purchases made in the last month.
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A mum of 5 children has truncated her children’s heights in metres to 2 decimal places, and written them down in the table.
a) Write down the intervals within which each child’s actual height lies.
b) Write down the minimum and maximum height difference between the tallest and shortest child.
Each child's real height falls between 1.60 and 1.28, with the tallest child's height difference at 0.32 and the smallest child's height difference at 0.04 respectively.
a) The ranges that each child's actual height falls within is ;
Here, Daisy is 1.28 meters short while Isaac is 1.56 meters tall at his tallest.
b) The largest height difference between the tallest and shortest child is 1.60-1.28 =0.32m , while the smallest height difference is 1.60-1.56 = 0.04meters.
Error interval: What does it mean?A number's possible range of values before being rounded or truncated is known as an error interval. Inequalities are frequently used to express error intervals as a range having a lower bound and an upper bound.
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A model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time. How many packages of 5 wheels can be made from the 30 wheels?
Answer:
Step-by-step explanation:
6
The number of packages of 5 wheels can be made from the 30 wheels is 6.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time.
Now, number of packages of 5 wheels
= 30/5
= 6
Therefore, the number of packages of 5 wheels can be made from the 30 wheels is 6.
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write a linear equation that passes through the points (2,-7) and (4,-9) and has a slope "-5"
Step-by-step explanation:
a line passing through 2 points get a slope just by these 2 points.
all we can do is to verify that the given slope is the same as the slope defined by the 2 points.
the slope is the ratio
y coordinate change / x coordinate change
when going from one point on the line to another.
for our 2 points that gives us
x changes by + 2 (from 2 to 4).
y changes by -2 (from -7 to -9).
the slope is therefore
-2/+2 = -1
the question asks for a slope of -5.
that is a contradiction. there is no line possible to pass through both points and have a slope of -5.
What i the invere of f(x) = 3/(x 1) f ^ - 1 * (x) = (3 - 1)/x f ^ - 1 * (x) = 3 x f ^ - 1 * (x) = x^ 1 2 f ^ - 1 * (z) = 3/x - 1
The inverse of f(x) = 3/(x-1) is f^-1(x) = 3/x - 1.
So the correct answer is f ^ - 1 * (x) = 3/x - 1
The inverse of a function, denoted f^-1(x), is a function that "undoes" the original function. To find the inverse of a function, we need to switch the roles of x and y and then solve for x.
Given the function f(x) = 3/(x + 1), we can find its inverse by:
y = 3/ (x + 1)
Multiply with (x + 1) and divide by y
y(x + 1)/ y = (3/ (x + 1))×(x + 1)/ y
x + 1 = 3/ y
x = 3/ y - 1
Switching the roles of x and y:
y = 3/ x - 1
Thus f^(-1)(x) = 3/ x - 1
It's worth noting that in order for a function to have an inverse function it must be a one-to-one function. This means that for every y value there is only one x value.
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Please help- thank you!!
Answer: u = -3
Step-by-step explanation:
To solve the equation, we will isolate the u variable by simplifying and using inverse operations.
Given:
4(3u + 5) = 2(2u - 2)
Distribute the 4 and the 2:
12y + 20 = 4u - 4
Subtract 20 from both sides of the equation:
12y = 4u - 24
Subtract 4u from both sides of the equation:
8u = -24
Divide both sides of the equation by 8:
u = -3
50 Points!
Which linear equation shows a proportional relationship?
Answer: y=3/ 4x
Step-by-step explanation: in the linear equations y= Kx shows the proportionality relations . Where k is the proportionality constant which can be any number . x an y are the variables, so according to this answer will be y=3/
Answer:
y=3/4x
Step-by-step explanation:
Let's first define some words;
Proportional: If a line or a ray through the origin it proportional
Non proportional: If a line or ray that does not pass through the origin
Origin: Initial point or the starting point
Now we have define the words now let's graph these points by using Desmos.
Graphs are shown below.
Base on the graphs below we can see that;
y=3/4x pass through the origin which means the that this linear equation is proportional.
RevyBreeze
Nachelle just accepted a job at a new company where she will make an annual salary of $57000. Nachelle was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Nachelle make as a salary after 4 years working for the company? What would be her salary after tt years?
a) Using the slope-intercept equation, after 4 years of working at the new company, Nachelle's salary will be $73,000 per annum.
b) After t years of working at the new company, Nachelle's salary will be $57,000 + $4,000(t).
What is the slope-intercept equation?The slope-intercept equation is in the form of y = mx + b.
The slope intercept describes the equation of a straight line, where m is the slope of the line, y and x are the y and x coordinates, and b is its y-intercept.
Initial starting salary per year = $57,000
Annual raise in salary = $4,000
Period = 4 years
Salary after 4 years = $73,000 [$57,000 + $4,000(4)]
Salary after t years = $57,000 + $4,000(t)
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fraction bigger than 2 out of 5 and smaller than 2 out of 3. When i divided numerator by denominator , it will be 0.533.
The fraction that is bigger than 2/5 and smaller than 2/3 is 8/15.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Let the fraction be a/b.
2/5 < a/b < 2/3
Now,
a/b
= (2/3 + 2/5) / 2
= (10 + 6) / 30
= 16/30
= 8/15
= 0.533
Thus,
The fraction is 8/15.
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Lisa and Jen left home at the same time, only Lisa biked to school at a speed of 10 mph while Jen just walked at a speed of 4 mph.
How far apart are the school and house?
The distance between the school and the house is 1.6 miles.
What is distance?Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
Let the distance between the school and the house be x miles.
Given that:
Lisa:
Rate = 10mph
Time = t hours
Distance= x
According to distance formula we have:
x = 10 *t [ equation 1]
Jen:
Rate = 4mph
Time = t hours
Distance= x-1 miles
According to the distance formula we have:
x-1 = 4*t [equation 2]
Substitute the value of equation 1 in equation 2 we have:
10t -1 = 4t
6t =1
t = [tex]\frac{1}{6}[/tex]
Now substitute the value of t in equation 1.
[tex]x = 10 * \frac{1}{6}[/tex]
x= 1.6 miles.
Hence the distance between the school and the house is 1.6 miles.
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Which planets have surface features (e.g., mountains, canyons, volcanoes, etc.)?
Answer:
The answer is Terrestrial planets
What is a logarithmic curve?
A logarithmic curve is a mathematical function.
A logarithmic curve, also known as a logarithmic function, is a type of mathematical function that describes a relationship between a variable x and a variable y in which the logarithm of y is a linear function of x.
The general form of a logarithmic function is y = logb(x), where b is the base of the logarithm, and x and y are real numbers. The base of the logarithm can be any positive number, but the most common bases used are 10 (common logarithm) and e (natural logarithm).
The graph of a logarithmic function is a curve that starts at negative infinity and increases gradually as x increases. The slope of the curve becomes closer to zero as x increases, and it is undefined for x=0 or x<0.
Logarithmic functions are often used in many areas of science, engineering, and mathematics to model real-world phenomena that exhibit exponential growth or decay, such as population growth, radioactive decay, sound levels and more.
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What is the product of 2x 3y )( 2x 3y )? *?
The product of (2x-3y)(2x+3y) is 4x^2-9y^2.
the solution of the question is as follows,
Product = (2x-3y)(2x+3y)
Product =2x(2x+3y)-3y(2x+3y)
Product = 2x(2x)+2x(3y)-3y(2x)-3y(3y)
{using distributive property of multiplication}
Product = 4x^2 +6xy - 6xy -9y^2
solving 6xy-6xy=0,
Product = 4x^2 - 9y^2
4x^2-9y^2 is the product of (2x-3y)(2x+3y).
distributive property of multiplication
This property states that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The multiplication of (a - b)(a + b) is equal to a^2 - b^2. This result is used as an identity.
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Describe what moves you could use to create the transformation of the original image shown below.
original
The required transformations of the original image are the first translation of 7 units to the right side, then a reflection across the x-axis.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The triangle is given in the represented graph, which vertices are as follows :
(-5, -1)
(-2, -1)
(-5, -3)
The image after a translation of 7 units to the right side will be given a triangle the vertices are as follows :
(-5 + 7, -1) → (2, -1)
(-2 + 7, -1) → (5, -1)
(-5 + 7, -3) →(2, -3)
Then the image after a reflection across the x-axis will be a triangle the vertices are as follows :
(2, -1) → (2, 1)
(5, -1) → (5, 1)
(2, -3) → (2, 3)
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Mariana spent $166.50 on games played at a laser tag arena
last year. If the laser tag arena charges $4.50 per game, how
many games did Mariana play at the arena last year?
Answer: 37
Step-by-step explanation:
divide the total that she spent over how much each game is (166.50/4.50). this will give you the number of games that she played.
need some help with the screenshot
The graph of the function f(x) = 2x² + 2x - 2 is plotted and attached
How to plot the graph of the equationThe graphs of the function is plotted by making a table of value for a number of the x values and the corresponding y values as done below
Using the function the table is created as f(x) = 2x² + 2x - 2
For x = -4, y = 2 * (-4)² + 2 * (-4) - 2 = 22
For x = -2, y = 2 * (--2)² + 2 * (-2) - 2 = 4
For x = 0, y = 2 * (0)² + 2 * (0) - 2 = -2
For x = 2, y = 2 * (2)² + 2 * (2) - 2 = 10
For x = 4, y = 2 * (4)² + 2 * (4) - 2 = 38
The table of values
x y
-4 22
-2 4
0 -2
2 10
4 38
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