Answer:
g(x) = -(0.5)^(x + 1) + 3
Step-by-step explanation:
First, let's define the transformations used in this case:
Horizontal shift (horizontal translation):
If we have a function f(x), a horizontal translation can be written as:
g(x) = f(x - N)
if N is positive, the translation is to the right
if N is negative, the translation s to the left.
Vertical shift (vertical translation):
If we have a function f(x), a vertical translation can be written as:
g(x) = f(x) + N
if N is positive, the translation is upwards
if N is negative, the translation is downwards.
Reflection over the x-axis.
If we have a function f(x), a reflection over the x-axis is written as:
g(x) = -f(x).
Now we have the function:
f(x) = (0.5)^x
Let's apply the transformations:
"shifted to the left 1 unit"
g(x) = f(x - (-1) ) = f(x + 1)
"shifted down 3 unts"
g(x) = f(x + 1) - 3
"reflected over the x-axis"
g(x) = -( f(x + 1) - 3 ) = -f(x + 1) + 3
now we can replace the function equation here and get:
g(x) = -f(x + 1) + 3 = -(0.5)^(x + 1) + 3
What is the meaning of x³ in math?
To answer, let's use the exponent rules, here x³ denotes "x multiplied by itself three times,"
What is exponent rule?Exponents, often known as powers, specify how many times the base number must be multiplied.
Exponent rules are principles that are used to simplify expressions using exponents. These principles are also useful in simplifying formulas with exponents that are decimals, fractions, irrational numbers, or negative integers.
Negative exponents Rule: [tex]a^{-m} = 1/a^m[/tex]Product Rule: [tex]a^m * a^n = a^{(m+n)}[/tex]Quotient Rule: [tex]a^m / a^n = a^{(m-n)}[/tex]Power of a Power Rule: [tex](a^m)^n = a^{mn}[/tex]An exponent is just a shortened way to denote repeated multiplication. x³ (or "x to the third power") in algebraic terms denotes "x multiplied by itself three times," or x x x.
Power is a mathematical phrase that denotes the repeated multiplication of a value or number.
As an example, power 6³ explains how three times the number 6 is multiplied.
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The complete question s as follows:
What is the meaning of x³ in math?
A die is rolled 200 times with the following results. outcome 1 2 3 4 5 6 frequency 32 36 44 20 30 38 what is the theoretical probability of the given event? p (3)
a. one-sixth
b. 0
c. one-half
d. startfraction 5 over 6 endfraction
Answer:
A
Step-by-step explanation:
Where accurate measurement is necessary?
While measuring mass of precious substances, such as gold, silver, etc., we need to be accurate in our measurement. in competitions and events, a difference of second can make you lose or win the game. Thus, accurate time measurement in such cases is very important.
Precision measures the reproducibility of measurements, even when they are far from the acceptable value, whereas accuracy measures how near a measurement is to a known or accepted value. Repeatable measurements that are reliable and precise are extremely near to the real values.
How closely a measured value resembles the real (or "true") value is referred to as accuracy. For instance, an accurate reading for the weight would be as near to 100g as feasible if you weighed a typical 100g weight on a scale.
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What is an example of a one solution equation?
For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2.
What is the definition of an equation?
An equation is basically a statement that equates two expressions.
An equation must contain an "equality" sign.
Which is the best definition of a two step equation?
A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
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How do you translate an entire triangle?
To translate an entire triangle, you need to first identify the coordinates of the triangle's vertices.
calculate the vector of the translation by subtracting the coordinates of the original triangle from the coordinates of the translated triangle. Finally, apply the vector to each of the triangle's vertices to move the entire triangle.
1. Identify the coordinates of the triangle's vertices (x1, y1, x2, y2, x3, y3).
2. Calculate the translation vector by subtracting the coordinates of the original triangle from the coordinates of the translated triangle (x1T, y1T, x2T, y2T, x3T, y3T).
3. Apply the vector to each of the triangle's vertices to translate the entire triangle. This can be done by adding or subtracting the vector from the original coordinates of the triangle's vertices.
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(g) sin² A+ cos² A + tan² A+ 1 = 4
that is the solution to the questions well. thank you, you can contact me for any further enquiry
Find the area of the shape 1/4 circle 8 radius
Answer:
16 pi
Step-by-step explanation:
Area of a circle is pi*radius^2. In this case, the area of the full circle would be pi*8^2 which is 64pi. The area of a quarter circle would be one fourth of that, so 16pi
What value of x will make the number 40 35 :: 16 x?
Answer:
Since 40:35 simplifies to 8:7, 16:X = 8:7, implies X = 14. Hope this helps you!
Step-by-step explanation:
hope this helps
mark me brainliest
what is the value of u
The value of u = 56.78 degree
What is the value of angle?Any triangle's three angles sum up to 180 degrees when added together. Therefore, the sum of angles A, B, and C is 180 degrees. Any triangle in the field of geometry has this property. This concept can be used to determine the measure of an angle or angles in which the degree measure is absent or not provided.
A, B, and C is 180 degrees
in a triangle <u- 40 degree <u+50 degree so <u is
<u- 40 degree
<u+50 degree
so
<u =
(u - 40 ) + (u+50 ) + u = 180
3u - (170.3) =180
u = 170.3/3 = 56.78.
The value of u = 56.78 degree
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What are the three primary kinds of parameters Mcq?
The three primary kinds of parameters are Input parameters, Output parameters, and Input/Output parameters.
One of the bits of data supplied as input to a function is referred to by a parameter, a special sort of variable. These bits of information represent the values of the arguments that will be used to call or invoke the function. Functions may have one or more parameters or none at all.
A function is typically defined with an ordered list of parameters so that each time it is called, the arguments are evaluated for that call and the results can be assigned to the associated parameters.
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What does fit () do?
When using supervised learning, the fit() technique requires two arrays of training data, but unsupervised learning only requires one array.
What does fit () do in regression?After the model is initialised, the "fit" method runs the algorithm on the training data. That is all it does, in essence. Thus, the machine learning model is trained using the training data by the sklearn fit approach. In the manufacturing industry, the term "form-fit-function" (FFF) refers to a part's distinguishing features (a single component that goes into the final build of your product, typically kept on an item master).
model.fit(): fit practise data This accepts the data X and the labels y as two arguments for supervised learning applications (e.g., model. fit(X, y)). Function at Cost. The cost function for linear regression is the Sum of Squares of Errors with the lowest value. Calculate the squared error sum for each and every available line.
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somebody please help me
Answer:
Divided both sides by 2
Step-by-step explanation:
The equation is
2 (t +7) = 16
t + 7 = 8
To get to the second step, they divided bot sides by 2
5. For each scenario, fill in numbers in the blanks to create a scenario that
can be solved using a system of equations. Make sure the scenario that you
provide has ONE solution. Then, answer the questions that follow.
Scenario 1
There are
some are cows. There are
total animals in the barn. Some of the animals are chickens and
legs in all.
a. What is the system of equations that represents the scenario you created?
B. Prove your solution is correct.
The scenario in this problem is described as follows:
There are 50 total animals in the barn, and there are 160 legs in total.
The system of equations that describes this situation is given as follows:
x + y = 50.4x + 2y = 160.What is the system of equations that describes this scenario?The variables that describe the system of equations are given as follows;
Variable x: number of cows in the barn.Variable y: number of chickens in the barn.There are 50 total animals in the barn, hence:
x + y = 50.
There are 160 legs in total. Considering that each cow has four legs, while each chicken has two legs, we have that:
4x + 2y = 160.
The system of equations is composed by these two equations and can be solved using any method to identify the amounts of each animal.
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How do you draw a linear graph?
An equation that depicts a straight line on a graph is said to be linear line.
What is linear line?Linear refers to a straight line. Straight-line graphs called linear graphs are used to show the relationship between two values. The single straight lines on this graph assist to represent a result. The phrase "linear" refers to a straight line and excludes the usage of curves, dots, bars, etc.
A linear line can include more than one variable. Linear lines with two variables, for example, are those that have two variables in them. 2x - 3 = 0 and 2y = 8 are few examples of linear lines.
Steps to draw a linear graph are described below:
A linear relation's graph can be discovered by graphing at least two points. The intercepts lead to the discovery of two locations that are very helpful for illustrating the graph of a line. A graph's x-value at which it crosses the x-axis is known as the x-intercept. A graph's y-value at where it crosses the y-axis is known as a y-intercept. Since the x-axis has a value of y = 0, an x-intercept may be discovered by setting y in the equation to 0 and figuring out x. Setting x = 0 in the equation and calculating y leads to the discovery of a -y intercept.To know more about linear lines refer to:
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How old is a 12th grader?
Frequently between the ages of 17 and 18, students. Seniors are students in the twelfth grade. The 12th grade, or senior year of high school, is frequently considered by students.
what do you mean grader ?Exams, projects, and academic assignments are evaluated by graders, who also issue grades. They create test materials, quizzes, and other things. They develop or implement the grading criteria and system. Either hand grading or the usage of an electronic evaluation and grading application are options for them.
here ,
Students are typically between the ages of 17 and 18. Seniors are the term for students in the twelfth grade.
Twelveth grade, or senior year of high school, is often seen by students as a time to unwind and get ready to leave their old lives behind and enter either college or the workforce.
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How do you graph a linear inequality steps?
The steps to graph the linear inequality is shown. (Refer to the steps below)
What is linear inequality?A linear inequality in mathematics is an inequality involving a linear function.
One of the symbols for inequality is found in linear inequality.
It displays non-equal data in graph style.
These steps will be used to graphically solve a set of linear inequalities:
1. Find y's inequality solution.
2. Represent the inequality as a linear equation and, depending on the inequality sign, graph the line as either a solid line or a dashed line.
3. Darken the area when the inequality is satisfied.
4. For every disparity, repeat steps 1 through 3.
5. The region where all of the inequalities intersect will be the solution set.
Therefore, steps to graph the linear inequality is shown.
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two numbers have a sum of 10 and a product of 20 what is the sum of the reciprocal of the numbers
HELP
The sum of the reciprocals of the two numbers is 0.5
How to find the reciprocal of the numbersLet the two numbers be x and y such that
x + y = 10
xy = 20
In x + y = 10, x = 10 - y
plugging in in xy = 20
(10 - y)y = 20
10y - y² - 20 = 0
y² - 10y + 20 = 0
solving the quadratic equation gives
y = 2.76 OR 7.24
sum of the reciprocal of the numbers
= 2.76⁻¹ + 7.24⁻¹
= 0.5
the sum is 0.5
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Find the slope of the line that passes through (4, 7) and (2, 10).
The Slope of the Line passing through (4, 7) and (2, 10) is -3/2
What is Slope?
The slope formula is used to compute the inclination or steepness of a line. The slope of the lines is calculated using the x and y coordinates of the lines. It is the ratio of the y-axis change to the x-axis change.
Solution:
A(4, 7) and B(2, 10)
Slope = y2 - y1 / x2 - x1
Slope = 10 - 7 / 2 - 4
Slope = 3 / -2
Slope = -3/2
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How do you find the reflecting on a coordinate plane( x-axis or y-axis )?
A transformative process turns a figure into a reflection.
How do you determine the reflecting on an x-axis or y-axis coordinate plane?If you want to reflect a point across the x-axis, multiply its y-coordinate by -1. If you want to reflect a point across the y-axis, multiply its x-coordinate by -1.A transformative process turns a figure into a reflection.When a point is reflected across the x-axis, the x-coordinate stays constant, but the y-coordinate is thought to be the additive inverse. The x-axis shows a reflection of the point (x, y) as (x, -y).The y-coordinate remains constant when a point is mirrored across the y-axis, while the x-coordinate is thought to be the additive inverse. The point (x, y) is reflected on the y-axis as (-x, y).(x, y)(x, y) is the formula for a reflection over the x-axis.
(x,y)(x,y) is the formula for a reflection across the y-axis.
The formula is (x,y)(y,x) for a reflection in the line y=x.
(x, y)(y, x) is the formula for a reflection in the origin.
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9. Determine the end behavior of the given polynomial function: f(x) = -x-2x³ +3x+9.
Answer:
The graph increases as it approaches -∞.
The graph decreases as it approaches ∞.
Step-by-step explanation:
f(x) = -x - 2x³ + 3x + 9
f(x) = -2x³ + 3x - x+ 9
f(x) = -2x³ + 2x+ 9
Look at the highest exponent(which is 3).
SInce the highest exponent is odd, that means that the graph approaches infinity in a different direction as per negative infinity. Since the highest exponent has a negative sign:
The graph is going UP as x-values get SMALLER ( To -∞)
The graph is going DOWN as x-values get LARGER ( To ∞)
Hence:
The graph increases as it approaches -∞.
The graph decreases as it approaches ∞.
Answer:
Since the degree is odd, the ends of the function will point in the opposite directions.
Odd
i have a pie. if i give two pieces to joe, one piece to mary, and another piece to joe, how many pieces of pie does joe have?
Answer: 3 pieces of pie
Step-by-step explanation:
You gave Joe two pieces at first, then you gave joe another piece of pie
2 + 1 = 3 pieces of pie
pls help me and explain how to do this
The slope of the line is -3/4.
What is a line?
A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.
The points on the line are (-4, 5), (0,2), (4, -1).
The slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).
The slope of the line is
(2 - 5)/(0 - (-4)) = -3/4
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Does (7, –5) make the equation y = x + –2 true?
Answer:
no
Step-by-step explanation:
-5 = 7 + -2
7 + -2 = 5
no
Answer:
No
Step-by-step explanation:
7,-5 is not a point on the line
-5, -7 is on the line
Which expression is equivalent to2 3?
4/6, 6/9, 8/12, 10/15 ... are equivalent to 2/3. All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same number are equivalent to 2/3.
And, The expression is equivalent to 2 divide by 3
Now, According to the question:
All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same integer are equivalent to 2/3.
2/3 × 2/2 = 4/6
2/3 × 3/3 = 6/9
2/3 × 4/4 = 8/12
2/3 × 5/5 = 10/15 and so on...
4/6, 6/9, 8/12, 10/15 ... are equivalent to 2/3.
Thus, 4/6, 6/9, 8/12, 10/15 ... are equivalent to 2/3.
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How do you solve inverse ratios and proportions?
Assuming that x and y be inversely proportionate, we can denote their relationship as x ∝1/y. It follows that as the value of x rises, the value of y falls, and vice versa.
Define the term inverse ratios and proportions?When the product of two values, x and y, is a constant, they remain inversely proportional to one another (always remains the same). Accordingly, as x rises, y falls, and conversely, by a certain amount so that x and y remain constant.Making an equation to determine the value of a new variable is also made possible by understanding that product does not change.We must first establish the connection between the two variables in order to calculate the value of the variable that's also inversely proportionate to the other.We need to figure out the proportionality constant k, which is similar to the a directly proportional connection.
Thus, x ∝1/y
x = k/y
k = xy.
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How is exponential function used in population growth?
The population grows exponentially as the population size increases because the growth rate per capita (per person) growth rate remains constant. The availability of resources will eventually stop populations in nature from growing exponentially.
what is exponential function?An exponential function is defined by the equation f(x) = ax, in which the exponent of the input variable x is used. The exponential curve affects both the value of x and the exponential function. The exponential function, with the form, is a crucial mathematical function. f(x) = ax.
Population growth or decline that is ongoing and whose pace of change is inversely correlated with the total number of people in the population at any given time.
The population grows exponentially as the population size increases because the growth rate per capita (per person) growth rate remains constant. The availability of resources will eventually stop populations in nature from growing exponentially.
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Solve: 2y - 4 = 14
:))
Answer:
y=9
Step-by-step explanation:
[tex]2y-4=14\\(2y-4)+4=(14)+4\\2y=18\\\frac{2y}{2}=\frac{18}{2}\\y=9[/tex]
Answer:
y=9
Step-by-step explanation:
add the 4 on both sides: 2y-4+4=14+4
2y=18
divide by 2: 18/2= 9
What is the formula for finding the circumcenter of a triangle?
Answer:
P(X, Y) = [(x1 sin 2A + x2 sin 2B + x3 sin 2C)/ (sin 2A + sin 2B + sin 2C), (y1 sin 2A + y2 sin 2B + y3 sin 2C)/ (sin 2A + sin 2B + sin 2C)]
Step-by-step explanation:
How to Construct Circumcenter of a Triangle?
The circumcenter of any triangle can be constructed by drawing the perpendicular bisector of any of the two sides of that triangle. The steps to construct the circumcenter are:
Step 1: Draw the perpendicular bisector of any two sides of the given triangle.
Step 2: Using a ruler, extend the perpendicular bisectors until they intersect each other.
Step 3: Mark the intersecting point as P which will be the circumcenter of the triangle. It should be noted that, even the bisector of the third side will also intersect at P.
please help me with this problem
Answer:
140 cm^2
Step-by-step explanation:
Area of rectangular = L x W
14 times 10 = 140cm^2
chris is going to rent a truck for one day. there are two companies he can choose from, and they have the following prices. company a has no initial fee but charges cents for every mile driven. company b charges an initial fee of and an additional cents for every mile driven. for what mileages will company a charge more than company b? use for the number of miles driven, and solve your inequality for .
As a result, after 130 miles Company A charges more than Company B.
Describe equation.A number, a variable, or both together with particular operation symbols make up an expression. An equal sign separates two expressions that make up an equation.
Here,
Company A Cost is equal to 0.80 m
Cost for Company B is 65 + 0.30 m.
In light of this,
A>B is true
when,
0.80 m > 65 + 0.30 m
0.50 m >65
m > (65 / 0.50)
m > 130.
As a result, after 130 kilometers, Company A charges more than Company B.
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