Therefore , the solution of Inverse function comes out to be of x-20 equals to x+20
What is the inverse symbol?A function f has an inverse function only if for every y in its range there is only one value of x in its domain for which f(x)=y. This inverse function is unique and is frequently denoted by f−1 and called “f inverse.” For an overview into the idea of an inverse function, see the function machine inverse.Steps for finding the inverse of a function fReplace f(x) by y in the equation describing the function. Interchange x and y. In other words, replace every x by a y and vice versa.
Here,
Solve for y.
Replace y by f-1(x).
y=x-20
x=y-20
Solve for y,x = y-20
x+20
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Answer:
ƒ^(-1)(x) = x + 20
Step-by-step explanation:
To find the inverse of the function ƒ(x) = x - 20, we need to switch the roles of x and y and solve for y.
Let's start by replacing ƒ(x) with y:
y = x - 20
Next, swap x and y:
x = y - 20
Now, solve for y by isolating it:
x + 20 = y
Therefore, the inverse of the function ƒ(x) = x - 20 is given by:
ƒ^(-1)(x) = x + 20
Write the word sentence as an equation. Then solve the equation
84 is 99 fewer than a number c.
Benjamin and Felix are 35 miles apart. At 3:00pm they start jogging towards each other. Benjamin jogs at a pace of 16 minutes per mile. Felix jogs at a pace of 10 minutes per mile. how many miles will Benjamin jog in 45 minutes
Using division operation, since Benjamin jogs at a pace of 16 minutes per mile, in 45 minutes he will jog 2.8 miles.
What is the division operation?The division operation is one of the basic mathematical operations, including addition, subtraction, and multiplication.
The division operation involves dividing the dividend (the numerator) by the divisor (the denominator) to obtain the quotient (the result).
The distance between Benjamin and Felix = 35 miles
Benjamin's jogging pace or speed = 16 minutes per mile
Felix's jogging pace or speed = 10 minutes per mile
The number of miles that Benjamin can jog in 45 minutes = Time/Speed
= 2.8125 miles (45/16)
Thus, Benjamin will jog 2.8 miles in 45 minutes.
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Rick melted a cube and made a cone with it. The amount of melted liquid left after making the cone was 49 cm. . If 6/7 of the melted liquid was used in making the cone, find the side of the initial cube.
pls, quickly no much time is there...
The side of the initial cube is 42 cm.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Rick melted a cube and made a cone with it.
The amount of melted liquid left after making the cone was 49 cm
6/7 of the melted liquid was used in making the cone
We need to find the side of the initial cube.
Cube =a³
Le us the whole liquid be 1.
6/7 of the melted liquid was used in making the cone
1/6/7=7/6 is the left out liquid after making cone.
7/6x=49
x=42 cm
Hence, the side of the initial cube is 42 cm.
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Help desperatlu6(5x-3)
[tex]6(5x-3)[/tex]
Distribute:
[tex](6)(5x)+(6)(-3)[/tex]
[tex]=\fbox{30x - 18}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6(5x - 3)}[/tex]
[tex]\text{DISTRIBUTE 6 WITHIN the PARENTHESES}[/tex]
[tex]\mathsf{= 6(5x) + 6(-3)}[/tex]
[tex]\mathsf{= 30x - 18}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{\mathsf{30x - 18}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Ellie brought 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad. How much did she spend?
Ellie spend of $37.8 for 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The amount is not given for each hot dog, hamburger and potatos.
But Ellie brought 2 packs of hot dogs ,
3 lbs of hamburger, and
2 lbs. of potato salad
Let us consider each hot dog is $6
Hamburger is $5.6 and potatoes is $4.5
Total amount is 2(6)+3(5.6)+2(4.5)
12+16.8+9
$37.8
Hence, Ellie spend of $37.8 for 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad
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Which expression is equivalent to (ab6)4?
a4b24
ab24
a5b10
ab28
Answer:
a^4b^24
Step-by-step explanation:
We know, (xy)^n = x^ny^n. So,
(ab^6)^4 = a^4b^(6×4)
= a^4b^24
A line has a slope of 3/8 and passes through the point (15.2,-7)
The equation of the line in point-slope form is???
ANSWERS↓↓
Considering the definition of a line, the correct answer is option A: the equation of the line in point-slope form is y + 7= 3/8(x- 15.2)
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.The point-slope form of an equation of a line is written as y-y₁=m(x-x₁)
where:
m is the slope.(x₁, y₁) are the coordinates of the point.Equation of a line in this caseIn this case, you know:
A line has a slope of 3/8.The line passes through the point (15.2,-7).The point-slope form of the line is written as:
y- (-7)= 3/8(x- 15.2)
y + 7= 3/8(x- 15.2)
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help please with this assignment
Answer:
13
Step-by-step explanation:
Cuz the factor of y is angle to the 115° is to the Y value
an ore is 1 1/2% pure silver. how much ore is needed to obtain 30 kilograms of silver?
Proportionately, the quantity of ore required to obtain 30 kilograms of silver is 2,000 kilograms.
What is proportion?Proportion refers to two or more ratios equated to each other.
We can use decimals, fractions, or percentages to show the proportional value of one quantity or variable to another.
The quantity of ore that can produce 30 kilograms of silver, based on the given proportion, can be obtained by equating the ratio to the required silver quantity.
The percentage of ore that is pure silver = 1¹/₂% = (0.015)
The quantity of silver needed = 30 kilograms
The quantity of ore that can produce 30 kilograms of silver = 2,000 kilograms (30/0.015)
1¹/₂% = 30 kg
100% = 2,000 kg (30/1¹/₂%)
Thus, given the ratio or proportion of pure silver to ore, the quantity of ore needed to obtain 30 kilograms of silver is 2,000 kilograms.
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2. What does William need to do to win his master's tournament? *
Your answer
This is for a knights tale brit langaues
In order to win his master's tournament, William needs to make the most of his strengths and use the strategies that best suit his playing style.
What is mathematics?Mathematics is the study of numbers, shapes, and patterns. It is a universal language that helps us to understand and describe the world around us. Math is used to solve problems and to make predictions. It is used to analyze data and to make decisions. Math is a powerful tool that allows us to communicate ideas and to make sense of the world. Math helps us to understand the physical laws that govern the universe and to make sense of our ever-changing world.
First and foremost, he needs to focus on improving his technical skills. He should practice using a variety of shots and playing on different surfaces. This will give him the confidence and control he needs to succeed.
William should also develop a strategy for each match. This should include analyzing his opponent’s playing style and strengths, understanding the court conditions, and setting a specific set of goals for each game. He should also practice mental conditioning to help him stay focused and be able to handle the pressure.
Finally, William should take care of his physical health. This includes getting enough sleep, eating healthy, and exercising regularly. He should also make sure he is properly hydrated and fueled during the tournament.
By taking the necessary steps and making the most of his strengths, William can put himself in a good position to win the tournament. With hard work and dedication, he can make his dream a reality.
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In order to win his master's tournament, William needs to make the most of his strengths and use the strategies that best suit his playing style.
What is mathematics?Mathematics is the study of numbers, shapes, and patterns. It is a universal language that helps us to understand and describe the world around us. Math is used to solve problems and to make predictions. It is used to analyze data and to make decisions. Math is a powerful tool that allows us to communicate ideas and to make sense of the world. Math helps us to understand the physical laws that govern the universe and to make sense of our ever-changing world.
First and foremost, he needs to focus on improving his technical skills. He should practice using a variety of shots and playing on different surfaces. This will give him the confidence and control he needs to succeed.
William should also develop a strategy for each match. This should include analyzing his opponent’s playing style and strengths, understanding the court conditions, and setting a specific set of goals for each game. He should also practice mental conditioning to help him stay focused and be able to handle the pressure.
Finally, William should take care of his physical health. This includes getting enough sleep, eating healthy, and exercising regularly. He should also make sure he is properly hydrated and fueled during the tournament.
By taking the necessary steps and making the most of his strengths, William can put himself in a good position to win the tournament. With hard work and dedication, he can make his dream a reality.
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how long would it take me to binge a show with 27 episodes if every episode is 23 minutes long?
Answer:
10 hrs 35 min
Step-by-step explanation:
ohh yeahh which show tell me in comment lol
btw it would take u total
621 minutes to complete the show
which meaning 10 hrs and 35 min
and if you touch the grass then it would take few hours more
Use the graphs of f and g to graph h(x)=(f+g)(x). (Graph segments with closed endpoints).
The required graph of the function of h(x) is shown, where h(x) = |x| + |x + 2|.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In the graph, functions f and g are absolute functions,
f = |x|
g = |x + 2|
So,
h(x) = f + g
Now substitue the functions,
h(x) = |x| + |x + 2|
Thus, the required graph of the function of h(x) is shown.
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How do I solve this system of equations using the elimination method.(I don't just want the answer, I want an explanation on how to get the answer.)
y=3x+13
2x=y-9
Answer:
y=3x+13
2x=y-9
Step-by-step explanation:
i need to know :(
Answer:
Step-by-step explanation:
Substitute 1 in 2 and solve for x.
2x=y-9
2x=3x+13-9
2x = 3x+4
-x = 4
x = -4
Then use equation 1 to solve for x.
y = 3x+13
y = -12+13
y= 1
Easy Cooking is a cooking supply company. Last year, the company sold 32,010 ovens. This year, they sold 30% fewer ovens than that. How many ovens did they sell this year?
Answer:
9,603 ovens
Step-by-step explanation:
Given:
Last year ---> 32,010 ovens
This year ---> 30% of last year
Question:
How many ovens did they sell this year?
Work:
To find out how many ovens they sold this year, all of you have to do is just multiply 30% by 32,010, the amount of ovens they sold last year
32,010 * 0.3 = 9,603
Solution:
Easy Cooking sold 9,603 ovens this year.
Hope this helped! :D
Jorge gives 3 chocolate bars to his friend. HE GIVES 1/12 OF CHOCOLATE BAR TO EACH FRIEND. HOW MANY FRIENDS DOES HE GIVE A PIECE OF CHOCOLATE TO
b) Express of 8000 cm³ of milk as a percentage of 16 litres of milk
Answer:
50%
Step-by-step explanation:
16 litres = (16 x 1000) cm^3
= 16000 cm^3
Hence,
Percentage = 8000/16000 x 100%
= 1/2 x 100%
= 50%
Roller coaster A can reach a top speed of 110 ft./s roller coaster B can reach the top speed of 85 mph which roller coaster has a greater top speed
Roller coaster B has greater top speed than roller coaster A.
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Given,
speed of roller coaster A = 110ft./s
speed of roller coaster B = 85mph
1 mile = 5280 feet
⇒ 85 mile = 5280 × 85 = 448800 feet
1 hour = 3600 seconds
speed of roller coaster B = 448800/3600 ft/s = 124.67 ft/s
comparing speed of both
Speed of roller coaster B > speed of roller coaster A
Hence, Top speed of roller coaster B is greater than roller coaster A.
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Find the value of each variable for each circle. Show your work
For a circle you have 60 and 80, what is the value of each variable a and b
The values of the variables in the circles are
Circle 1: a = 34 degreesCircle 2: a = 58 degrees, b = 90 degrees and c = 61 degreesHow to determine the values of the variables in the circles?From the question, we have the following parameters that can be used in our computation:
Circles and missing angles (see attachment for the figures)
Circle 1
To determine the unknown variable (a), we make use of the following theorem
The angle subtended by an arc at the circumference is twice the angle subtended at the circumference
Mathematically, this means that
a = 2 * 17 degrees
Evaluate the product
a = 34 degrees
Circle 2
To determine the unknown variable (a), we make use of the following theorem
The angle at the circumference in a semicircle is 90 degrees.
Mathematically, this means that
b = 90 degrees
Also, we have
a + 122 degrees = 180 degrees
Evaluate
a = 58 degrees
Using the theorem in (a), we have
b + a/2 + c = 180
This gives
90 + 58/2 + c = 180
Evaluate the like terms
c = 61 degrees
Hence, the angle c is 61 degrees
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There was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.4% each year.
Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.
Write an exponential function showing the relationship between y and t.
The exponential function can be written as y = 700e^-0.094t.
What is the exponential function?We know that the term function would have to do with a mathematical rule that we can use to be able to obtain specific values. Now we have to know that there was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.4% each year.
We can use;
N = Noe^-rt
N = amount at time t
No = Amount at the beginning
r = decay rate
t = time taken
Thus we have; y = 700e^-0.094t
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Which of the following has kinetic energy?
O A. Food
O.B. Motion
OC. Gravity
OD. Light
Answer:
light
Step-by-step explanation:
it has kinetic energy
Answer:
Step-by-step explanation: Kinetic energy is made because of movement. So Motion would be the correct answer
the terms rising action and climax best describe which narrative element?
Rising action and climax are best used to describe the narrative element of Plot.
What are rising action and climax ?The rising action of the novel encompasses all the developments of the characters and the dramatic events that build to the eventual climax. The most thrilling section of the story is the climax, which also marks a turning point in the plot or the objectives of the main character.
Rising action in literature refers to all the incidents that take place in a narrative leading up to the climax. The tale moves along thanks to the mounting action, which also heightens the tension and keeps us interested in what happens next. It comes after the first step of exposition in the plot.
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A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 8700 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing cc, the total number of 150-kilogram crates that can be loaded into the shipping container.
Answer:
Below
Step-by-step explanation:
(27500 - 8700) >= 150 x where x is the number of 150 kg containers
What is the reciprocal of 1 4/13
Answer:
[tex]\frac{13}{17}[/tex]
Step-by-step explanation:
just a tip use math-way in the future it's always been great
Hope this helps!
A rectangular tennis court has a length of 24 m and a width of 11m what is the length of the diagonal court explain how you worked out your answer
The length of the diagonal of the rectangular tennis court is given as follows:
26.4 meters.
How to obtain the length of the diagonal?The tennis court is rectangular, meaning that the diagonal is the hypotenuse of a right triangle, in which the sides are the length and the width.
Applying the Pythagorean Theorem, the diagonal length can be obtained as follows:
d² = 24² + 11²
d² = 697
[tex]d = \sqrt{697}[/tex]
d = 26.4 m.
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50 POINTSSS!!!!!! PLS HURRRYYYYY!!!!!!! A set of data includes 98 data points ranging from 0 – 160. If the data is split into classes with a range of 10 (1 – 10, 11 – 20, etc), and there are no values that fall in the class 81 – 90, what can you say about the data?
1 The mean of the data will not be between 81 – 90.
2 All the data lies below 80.
3 The relative frequency of the class 81 – 90 is 0.
4 The median could be in the range 81 – 90
Answer:
3
Step-by-step explanation:
PLEASE HELP
Find the value of x
-10
11
-6
8
Answer:
8
Step-by-step explanation:
Since it's an equilateral triangle, as you can tell from the red lines, m∠2 = 60. You can substitute to get:
⇒ 60 = 6x + 12
Subtract 12 from both sides
⇒ 48 = 6x
Divide by 6
⇒ x = 8
Therefore, the answer is 8.
The product of 12 and k is 84. Solve for k.
Answer:
the k is 7
Step-by-step explanation:
12×2=24
12×3=36
12×4=48
12×5=60
12×6=72
12×7=84
Answer:
k = 7
Step-by-step explanation:
The product of 12 and k is 84 [tex]\rightarrow 12k=84[/tex].
[tex]12k = 84 \\ k = \dfrac{84}{12} \\ \boxed{k = 7}[/tex]
Find the range of values of x for which
|2x+1|-x-3<0, where x € R.
By analyzing the inequality and solving, the range of values of x for which the inequality is true is x € (-4/3, 4)
What is domain?Domain is the input to the function.
What is range?Range is the output of the function.
First, we'll consider the case where |2x+1|-x-3<0.
|2x+1|-x-3<0
|2x+1|<x+3
Now we need to take the absolute value of 2x+1, we have two cases to consider:
Case 1:
2x + 1 > 0
2x + 1 < x + 3
2x - x < 3 + 1
x < 4
Case 2:
2x + 1 < 0
-2x - 1 < x + 3
-2x - 1 -x - 3 < 0
-3x - 4 < 0
x > -4/3
Now we must find the intersection between the two cases:
x € (-4/3, 4)
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What is the value of X in the triangle below?
Answer:
x=29
Step-by-step explanation:
(2x-2)+(x+5)+90= 180 (sum of angles in a triangle)
2x-2+x+5=90
3x+3=90
3x=87
x=29
help me with this question please
Answer:
[tex] \sf \: d) \: 82[/tex]
Step-by-step explanation:
Given information,
→ d = 10
→ u = 7
→ e = 3.2
The expression is,
→ d(e + 5)
Let's evaluate the expression,
→ d(e + 5)
→ 10(3.2 + 5)
→ 10 × 8.2
→ 82
Hence, option (d) is correct.
Answer:
Option D) 82
Step-by-step explanation:
Given ,
d = 10
u = 7
e = 3.2
To Find : [tex]d(e+5)[/tex]
Applying the values in the equations we get
[tex]10(3.2+5)\\[/tex] Applying Distributive property
[tex]32+50 = 82[/tex]
Hence , Option D) is the answer