In mathematics, an inverse function is one that "reverses" another function. The inverse of y = 2x + 8 is f⁻¹(x) = x/2 − 4.
What is meant by inverse function?The inverse function of a function f in mathematics exists a function that reverses the operation of f. If the inverse of f exists, it is shown by the f⁻¹. The inverse of f exists if and only if f exists bijective.
An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f ⁻¹.
Let the function be y = 2x + 8
Interchange the variables.
x = 2y + 8
Solving for y
y = x/2 − 4
Replace y with f⁻¹(x), we get
f⁻¹(x) = x/2−4
Verify if f⁻¹(x) = x/2−4 is the inverse of f(x) = 2x+8.
The inverse of y = 2x+8 is f⁻¹(x) = x/2−4.
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Divide the following and then check by multiplying.
9043 +18
Make y the subject of this equation:
ty = a + k
Answer:
y = [tex]\frac{a+k}{t}[/tex]
Step-by-step explanation:
ty = a + k ( isolate y by dividing both sides by t )
y = [tex]\frac{a+k}{t}[/tex]
Answer:
[tex]\sf y =\dfrac{a+k}{t}[/tex]
Step-by-step explanation:
To make 'y' as the subject, isolate y by dividing both sides by t
ty = a + k
Divide both sides by t,
[tex]\sf \dfrac{ty}{t}=\dfrac{a+k}{t}\\\\[/tex]
[tex]\sf y = \dfrac{a +k}{t}[/tex]
What is the answer to this problem?
Answer:
inequality
Step-by-step explanation:
what is the outlier for the nmbers 2 4 6 8 10 and 12
The outliers of the given data set are 2 and 12.
The given data set is 2, 4, 6, 8, 10 and 12.
What is the outlier of numbers?Outliers are extreme values that stand out greatly from the overall pattern of values in a dataset or graph
A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data. For example in the scores 25,29,3,32,85,33,27,28 both 3 and 85 are "outliers".
In the given data set 2, 4, 6, 8, 10 and 12.
2 is the lowest observation and 12 is the highest observation.
So, 2 and 12 are two extreme values and these two are outliers.
Therefore, the outliers of the given data set are 2 and 12.
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14 less than the quotient of 11 and a number
Answer:
(11/x) - 14
Step-by-step explanation:
(11/x) - 14 or 11 - 14x/x
Simplify 3.42 + (−5.6). 39.8 9.02 −2.18 −3.98
Answer: c 2.18
Step-by-step explanation:
pray to god that its right
How many solutions does this equation have?
7q–20= –10q+20+19q
Answer:
q = -20
Step-by-step explanation:
The solution of the equation will be negative 20. Then the number of solutions to the equation will be one.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
7q – 20 = – 10q + 20 + 19q
Simplify the equation, then we have
7q – 20 = – 10q + 20 + 19q
– 19q + 10q + 7q = 20 + 20
– 2q = 40
q = 40 / (–2)
q = – 20
The solution of the equation will be negative 20. Then the number of solutions to the equation will be one.
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Need some assistance with this question
The equation is y = 30x +3000
$ 10500 is the rent for 250 guests.
What is slope intercept form?The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b.
Given:
(100, 4350) and (155, 6000)
So, slope = 6000- 4350 / 155-100
slope = 1650/55
slope= 30
So, the equation is
y-6000 = 30( x- 100)
y - 6000 = 30x - 3000
y = 30x +3000
Now,
and, for 250 guests the rent would be
y= 30 * 250 + 3000
y = 7500+3000
y= $ 10500
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Help its A Math Question Please Help I am givng you 35 points for this question and a brainly crown if another person answers the question aswell thanks !
[tex]sum \: of \: interior \: angles = (9 - 2)180 = 1260 \\ one \: angle \: in \: th e\: nonagon = \frac{1260}{9} = 140 \\ x + nop = 180 \: (supplementary \: angles) \\ x + 140 = 180 \\ x = 180 - 140 \\ x = 40[/tex]
Hey, so I need to find the y-intercept, the slope, and the equation for it. Help please
Answer:
f= 1.3s - 8.7
Step-by-step explanation:
Slope is M
M = 1.3 feet per second
y=mx+ b your b= 8.7ft
your equation is
f= 1.3s - 8.7
What is the answer to -10+7 and how do you solve it
Answer:
-3
Step-by-step explanation:
[tex](-a) + (+b) = -c\\= -10 + 7\\= -3[/tex]
Alma is choosing a new smartphone and cellular service plan. let p be the phones price in dollars, m be the cost of the selected plan in dollar per month, and c be alma's total cost in dollars after time t, measured in months of service. write an equation that expresses c in terms of p, m, and t. then solve your equation for t.
The equation which expresses c in terms of p, m and t as in the task content is; c = mt + p and the solution of the equation for t is; t = (c -p)/m.
What is the equation of the situation such that c is expresses in terms of p, m and t?It follows from the fact that the rate of change, m is constant in the situation described. Hence, the equation is a linear equation.
On this note, the required equation which represents total cost, c in terms of p, m and t can be written as;
C = mt + p.
Hence, to solve the equation above for t;
Subtract p from both sides so that;
c - p = mt
Divide both sides by m;
(c - p)/m = t.
Ultimately, The equation which expresses c in terms of p, m and t as in the task content is;
c = mt + p
and the solution of the equation for t is;
t = (c -p)/m.
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Kallie thinks that each double
problem will have an even sum.
Do you agree or not?
Since Kallie thinks that each double problem will have an even sum. in my response, it is Yes, I do not agree with her.
Why do i not agree with her?The reason why i agree with her is that the odds that is double will also give you an odd double and get an even double.
What happens when you double an odd number?An odd number is known to be one that be looked at as an even number and this is one that happens if one added to it .
For example 5 is 4+1.
Therefore, if you add two odd numbers together, there is the probability that a person may get an even number.
For example is 3 + 5 = 8
Therefore, Since Kallie thinks that each double problem will have an even sum. in my response, it is Yes, I do not agree with her.
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For the coordinates A(5,8) and M(9,14), A is an endpoint of AB and M is the midpoint. Find the coordinates of endpoint B.
Answer:
(13, 20)
Step-by-step explanation:
Family Dinner Combinations A family special at
a neighborhood restaurant offers dinner for four for
$39.99. There are 3 appetizers available, 4 entrees, and
3 desserts from which to choose. The special includes
one of each. Represent the possible dinner combinations
with a tree diagram.
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The number of dinner combinations that will be represented in the Tree Diagram is 36.
What is a Tree Diagram?A tree diagram is a new management planning tool that depicts the hierarchy of tasks and subtasks needed to complete and objective. The tree diagram starts with one item that branches into two or more, each of which branch into two or more, and so on. The finished diagram bears a resemblance to a tree, with a trunk and multiple branches.It is used to break down broad categories into finer and finer levels of detail. Developing the tree diagram helps you move your thinking step by step from generalities to specifics.
Given that a neighborhood restaurant offers dinner for four for
$39.99 which includes
Three types of appetizers =(a1,a2,a3)
Four types of entrees = (e1,e2,e3,e4)
3 types of desserts = (d1,d2,d3)
Therefore, we can conclude the Number of combinations = 3*4*3=36
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Use the following setup and given equation to find your solution:
1st integer = x
2nd integer = x+2
3rd integer = x+4
Equation: x+(x+2)+(x+4)=267
Solve the equation above. What is the largest integer?
The largest integer in the set of number is 91
How to use the given equation to determine the largest integer?The given parameters are
1st integer = x2nd integer = x+23rd integer = x+4Equation: x+(x+2)+(x+4)=267So, we have
x+(x+2)+(x+4)=267
Open the brackets
x + x + 2 + x + 4 = 267
Evaluate the like terms
3x = 261
Divide both sides by 3
x = 87
Substitute x = 87 in 3rd integer = x+4
3rd integer = 87 + 4
Evaluate
3rd integer = 91
Hence, the largest integer is 91
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Please help I need this
Answer:
11 inches
Step-by-step explanation:
The sides of the teacher's model are 110 inches
Henry's model should be 10 times shorter.
110 ÷ 10 = 11
What’s the unit rate for four pounds of bananas for $2.36
Answer:
$0.59/pound
Step-by-step explanation:
Since there are four pounds you divide $2.36 by 4 to get the unit rate.
What is the value of the expression below when z = 5?
8z - 9
Answer: 31
Step-by-step explanation:
1. Replace z by 5, meaning that 8*5
2. Then, subtract 40 by 9 (8*5 = 40, 40-9 = 31)
Prior to an election, 6,504 people vote in the advance polls for a riding. On election day, thepolling stations for that riding record an average of 407 voters per hour. How long were thepolls open on election day, if a total of 10,167 people voted in that riding?
**USE LET STATEMENTS, AND THEREFORE STATEMENTS**
The number of hours the polls open on the election day was 9 hours
From the question, we are to determine how long the polls opened on the election day
From the given information,
6,504 people vote in the advance polls for a riding prior to the election
and
A total of 10,167 people voted in that riding
Thus,
The number of people that voted on the election day = 10167 - 6504
Number of people that voted on the election day = 3663
Also, from the given information
The polling stations for the riding record an average of 407 voters per hour
Then,
Number of hours the polls open on election day = Number of people that voted on the election day ÷ Average number of voters per hour
Number of hours the polls open on election day = 3663 ÷ 407
Number of hours the polls open on election day = 9 hours
Hence, the number of hours the polls open on the election day was 9 hours
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Convert 168 pounds to kilograms. Use 1 kg = 2.2 lb.
Round your answer to the nearest tenth.
(……) kg
Answer:
about 76.36 kgis the answer
Step-by-step explanation:
168 divided by 2.2 is 76.36.
if the point P(-4/5,y) lies on the unit circle and P is in the third quadrant, what does y equal
The value of y on the unit circle is y =-3/5
What is a circle?A circle is defined as the locus of a point such that it is equidistant from a fixed point.
The equation of a circle with center at the origin is given by x² + y² = r² where r = radius of circle
What is a unit?A unit circle is a circle with radius, r = 1.
So, the equation of a unit circle is x² + y² = 1
How to find the value of y on the unit circle?Given that the point P(-4/5, y) lies on the unit circle, and P is int he third quadrant, making y subject of the formula in the equation for unit circle, we have
y = ±√(1 - x²)
Substituting x = -4/5 into the equation, we have
y = ±√(1 - x²)
y = ±√(1 - (-4/5)²)
y = ±√(1 - 16/25)
y = ±√[(25 - 16)/25]
y = ±√[9/25]
y = ±3/5
Now, given that P is in the third quadrant, it implies that y is negative. so, y = -3/5
So, the value of y on the unit circle is y =-3/5
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Which three relations are functions? Select all correct answers
Answer: what am i supposed to choose from?
Step-by-step explanation:
Simplify each radical expression. Use absolute value symbols when needed. 5√-64 x¹⁴ y²⁰
The rationalize of all denominators is [tex]40x^{14} y^{20} i[/tex]
We rationalize the denominator to make certain that it will become less complicated to carry out any calculation at the rational number. while we rationalize the denominator in a fraction, then we are eliminating any radical expressions inclusive of rectangular roots and dice roots from the denominator.
The distinction is that denial flat out says there may be no trouble whilst clarification is smarter, it justifies thoughts and behaviors on some different grounds in the try to convince Self and others that these minds and behaviors are not maladaptive, that they may be definitely adaptive.
The rationalize is a disavowal defense mechanism that permits an individual to address emotional conflicts, or inner or external stressors, via devising reassuring or self-serving however incorrect factors for his or her personal or others' mind, actions, or feelings, which cowl up different reasons (Perry 1990).
[tex]5 \sqrt{-64 x^{14} y^{20} }[/tex]
[tex]\sqrt{-64} = i8[/tex]
[tex]5i8x^{14} y^{20}[/tex]
[tex]40ix^{14} y^{20}[/tex]
[tex]40x^{14} iy^{20}[/tex]
= [tex]40x^{14} y^{20} i[/tex]
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After simplifying the radical expression 5 √(-64) x¹⁴ y²⁰, the result is 40 x¹⁴ y²⁰ i.
We are given the radical expression as:
5 √(-64) x¹⁴ y²⁰
We need to simplify the radical expression and find the value of the expression.
Now, we will first simplify the term √(-64)
We know that:
√(-64) = √( - 1 × 8 × 8 )
= 8 √ -1
Using the properties of complex numbers, we get that:
√ - 1 = i
= 8 i
Putting it in the expression, we get that:
= 5 ( 8 i ) x¹⁴ y²⁰
= 40 x¹⁴ y²⁰ i
Therefore, we get that, after simplifying the radical expression 5 √(-64) x¹⁴ y²⁰, the result is 40 x¹⁴ y²⁰ i.
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32 is the sum of a number z and 9 write the word as an equation then solve (HURRY DUE TOMORROW!!!!)
Answer: z = 23
Subtract 32 and 9, which equals 23
So your equation is 23 + 9 = 32
Step-by-step explanation:
What is (−11)^4 when evaluated?
Answer:
14641
Step-by-step explanation:
Exponent rule
[tex]\mathrm{(-a)^n=a^n(when~n~is~even)}[/tex]
[tex]\left(-11\right)^4=11^4[/tex]
Multiply
[tex]11^4 = 11 \times 11 \times 11\times 11 = 14,641[/tex]
when dividing the polynomials one factor is the quotient
When dividing with polynomials one factor becomes the dividend and the other factor becomes the quotient. This is false.
What is a polynomial?It should be noted that a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, as well as non-negative integer exponentiation of variables
Dividing polynomials simply requires that a particular factor becomes the divisor and the other factor becomes the quotient.
Therefore, it's false.
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When dividing with polynomials one factor becomes the dividend and the other factor becomes the quotient.
In 2010, the population of a city was 228,000. From 2010 to 2015, the population grew by 7.7%. From 2015 to 2020, it fell by 4.2%. To the nearest 100 people, what was the population in 2020?
The population in the city in 2020 to the nearest 100 is 235242.65.
The population of the city was 228,000 in the year 2010.
From 2010 to 2015, the population grew by 7.7%.
The population decreases by 4.2 % from 2015 o 2020.
Initially, the population of the city is 228,000.
From 2010 to 2015,
The city's population increased by 7.7%.
7.7% of 228,000 = ( 7.7 / 100) × 228,000 = 17556
The population of the city from 2010 to 2015 = 228,000 + 17556 = 245556
From 2015 to 2020,
Now, the city's population decreases by 4.2%.
4.2% of 245556 = ( 4.2 /100) × 245556 = 10313.352.
Therefore,
The population of the city in the year 2020 = 245556 - 10313.352 = 235242.648
Therefore, the population in the year 2020 to the nearest 100 is 235242.65.
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Answer:
235200
Step-by-step explanation:
The equation y=(-16t-4)(t-2) represents the height in feet of a beach ball thrown by a child Find the zeros of the functionWhat do the zeros tell us in this situation? From what height is the beach ball thrown ?
Answer:
See below
Step-by-step explanation:
To find zeroes:
0 = (-16t-4)(t-2)
so -16t-4 = 0 t = -1/4
or t-2 = 0 t = 2
when the ball is thrown, t= 0
put t= 0 in the equation to find the initial height
y = ( -16t -4)(t-2)
= ( -16(0)-4)(0-2) = (-4)(-2) = 8 ft
Can y’all pls give me the answers
Answer:
A:0.11 B:I can't a diagram in here