Which function has an inverse that is also a function?
O g(x)=2x-3
Ok(x) = -9x²
Of(x) = x + 21
Ow(x) = -20
Answers
The function \(x=\frac{y}{2}+\frac{3}{2}\) is an inverse function and also a linear function.
The given functions are \(g(x)=2x-3, k(x)=-9x^{2} , f(x)=x+21\) and \(w(x)=-20\).
What is a function?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, \(g(x)= 2x-3\)
⇒\(y= 2x-3\)
⇒\(2x=y+3\)
⇒\(x=\frac{y+3}{2} =\frac{y}{2}+\frac{3}{2}\)
Therefore, the function \(x=\frac{y}{2}+\frac{3}{2}\) is an inverse function and also a linear function.
To learn more about functions visit:
https://brainly.com/question/12431044.
#SPJ1
Related Questions
College students signed up to be subjects in a psychology experiment. When they arrive, they are told that interviews are running late, and they are left in a waiting room. The experimenters have placed a cell phone in the room and the subjects are told not to answer the phone no matter how many times it rings. Some subjects are in the room alone and others are in pairs; these are the treatments being compared. Will the subject answer the phone
Answers
The subjects participating in the experiment described are not aware of the conditions or details of the study. Hence, it does not meet the requirement of informed consent.
Informed consent describes a scenario whereby a particular study or research is to be carried, and the participants or subjects have been briefed about the condition, modalities and what is expected of them prior to the start of the experiment.
Therefore, since the subjects have no idea of the modalities of the experiment prior to when it began. Then, it does not meet the requirement of informed consent.
Learn more :https://brainly.com/question/13421898
Answer:
No, because they did not know the nature of the experiment before participating
Step-by-step explanation:
got it right on the test
URGENT!! Will give brainliest :)
What is the equation for the line of best fit for the following data? Round the slope and -intercept of the line to three decimal places.
A. y=-0.580×+ 10.671
B. y=-10.671 x+ 0.580
C. y= 10.671 x-0.580
D. y= 0.580x - 10.671
Answers
To find the equation for the line of best fit, we can use linear regression. Based on the given data:
x: 2, 5, 7, 12, 16
y: 9, 10, 5, 3, 2
The equation for the line of best fit would be in the form: y = mx + b, where m is the slope and b is the y-intercept.
Using a calculator or statistical software, we can calculate the slope and y-intercept for the line of best fit.
The result is:
Slope (m): -0.580 (rounded to three decimal places) Y-intercept (b): 10.671 (rounded to three decimal places)
So, the correct answer is:
A. y = -0.580x + 10.671
Find a counterexample to show that the given conjecture is false.
If n is a real number, then n³>n.
Answers
Let \(n=0\). Then \(0^3 = 0\) but 0 > 0 is a false statement.
For the equation, decide if it is always true or never true.
2(x + 3) = 5x + 6 − 3x
Answers
Answer:
always true
Step-by-step explanation:
Given
2(x + 3) = 5x + 6 - 3x ← distribute left side
2x + 6 = 2x + 6
Since both sides are equal then any real value of x is a solution.
Thus the equation is always true
Which line plot correctly shows the data?
Answers
Could you help me with question sane amount of money deposited
Answers
The amount of money in the savings account depends on how much time has passed since the account was opened. Then, the amount of money is the depenent variable, and the amount of time is the independent variable.
Then, money is a function of time.
3x - 5 = 7x + 11
x =
Answers
Answer:
\(3x - 5 = 7x + 11 \\ 7x - 3x = - 11 - 5 \\ 4x = - 16 \\x = - \frac{16}{4} \\ \color{yellow} \boxed{x =-4}\)
Answer:
x= -4
Step-by-step explanation:
3x-5=7x+11
3x-5+5=7x+11+5
3x=7x+11+5
3x=7x+16
3x-7x=7x+16-7x
-4=7x+16-7x
-4x=16
divided each side by -4
x= 16 over -4
divide them and you get -4.
FLUENCY
1. The expression 7(x+3) is equivalent to which of the following?
(1) 7x + 3
(3) x+21
(2) 7x+10
(4) 7x+21
Answers
helppppppppppppppppppppppppppppppppp pls
Answers
Answer:
15
Step-by-step explanation:
74.75 divided by 5 is 14.95 so when you add to the nearest whole number it will be 15.
Cristian,Iris,and Morgan each get an equal share of 1/2 of a pizza. Which model represents the fraction of the pizza each person gets?
Answers
Answer:
Step-by-step explanation:
1/6
1/2 ÷ 3
1/2 × 1/3
1/6
Diego measured the length of a pencil to be 22 cm. the actual length of the pencil is 23 cm. which of these is closest to the percent error for diego’s measurement?
Answers
An error exists in the distinction between the exact length of an object and its measured length.
The closest to the percent error for Diego's measurement exists at 4.3%.
What is an error?An error exists in the distinction between the exact length of an object and its measured length.
Error = Actual length - Measured length
= 23cm - 22cm
= 1 cm
Percent error = Error/ Actual length × 100
= 1 /23 × 10
= 4.35%
Therefore, the closest to the percent error for Diego's measurement exists at 4.3%.
To learn more about percent error refer to:
https://brainly.com/question/1600371
#SPJ4
What is the equation of the line that passes through the point (-6, -5) and has an
undefined slope?
Answers
Write an absolute value equation that has the solution x= -6 and x=10.
Answers
Answer:
\(/x-2/=8\)
Step-by-step explanation:
\((-6+10)/2=2\)
Midpoint= 2
Distance from midpoint =8
\(/x-2/=8\)
Slash= Absolute Value Sign
Find the radius of convergence and the interval of convergence
for the following
series.
∑[infinity] (x − 2)n
nn n=1
Problem 2 Find the radius of convergence and the interval of convergence for the following series. [infinity] n=1 (x − 2)n nn
Answers
the radius of convergence is 1 and the interval of convergence is (1, 3) in terms of x-values.
To determine the radius of convergence, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1 as n approaches infinity, then the series converges. Applying the ratio test to the given series, we have:
lim(n->∞) |((x - 2)^(n+1)/(n+1)) / ((x - 2)^n/n)| < 1
Simplifying the expression, we get:
lim(n->∞) |(x - 2)n+1 / (n+1)(x - 2)^n| < 1
Taking the absolute value and rearranging, we have:
lim(n->∞) |x - 2| < 1
This implies that the series converges when |x - 2| < 1, which gives us the interval of convergence. The radius of convergence is the distance between the center of the series (x = 2) and the nearest point where the series diverges, which in this case is 1.
Learn more about convergence here:
https://brainly.com/question/31440916
#SPJ11
Change decimals to fractions.
0.9
PLS HELP THIS IS MY FINAL GRADE
Answers
Answer:
0.9 as a fraction is 9/10
Step-by-step explanation:
Answer:
9/10
Step-by-step explanation:
Select the correct answer. how many moles are contained in 3.131 × 1024 particles? a. 5.199 mol b. 18.85 mol c. 0.5199 × 1023 mol d. 1.885 × 1047 mol
Answers
The particles contain 5.199 mol. The result is obtained by dividing the number of particles by the Avogadro number.
What is Avogadro number?Avogadro number is the number of particles contained in 1 mol of any substance. It is 6.022 × 10²³ particles/mol.
The number of particles of a substance can be expressed as
N = n × NA
Where
N = Number of particlesn = Number of molesNA = Avogadro numberThe number of particles of a substance is 3.131 × 10²⁴ particles. Find the number of moles!
With the Avogadro number, the number of moles would be
N = n × NA
3.131 × 10²⁴ = n × 6.022 × 10²³
n = (3.131 × 10²⁴) / (6.022 × 10²³)
n = 0.5199 × 10¹
n = 5.199 mol
Hence, there are 5.199 mol contained in the particles.
The answer is A.
Learn more about moles and particles here:
brainly.com/question/28724678
#SPJ4
a , b, c, or d? right answers only please
Answers
Answer:
its B hope it helps lol lol lol
If you can solve this question without calculator then ill give you brainliest
What is 56 x 74 x 382 + 96 - 42
Show proof you didnt use calculator
Answers
Answer:
4580
Step-by-step explanation:
56x74=4144
382+96=478
4622-42=4580
I did the math in my head and I don't know if it is correct but I hope this helps!
Happy holidays!
of
Given the triangle ABC at points A=(1,6) B=(-3,5) C=(7,1), and if the triangle is first reflected over the
y axis, and then over the x axis, find the new point A".
Select one:
O a. (1,-6)
Ob. (3,5)
Oc. (-1,-6)
O d. (1,6)
Answers
After reflected over the triangle the point a become A = (-1,-6). The option c is correct.
According to the statement
we have given that the a triangle ABC at the points A=(1,6) B=(-3,5) C=(7,1), and we have to find the points of a when the triangle is first reflected over the y axis.
So, For this purpose
we know that the when the triangle is at the x axis then the point A is A=(1,6).
But when the triangles reflected over the y - axis then the point A goes to the negative side of the graph. In other words whole of the triangle shift to the negative side of the graph. That's why the point become negative.
So, The option c is correct. After reflected over the triangle the point a become A = (-1,-6)
Learn more about Triangle here
https://brainly.com/question/1675117
#SPJ1
How do you find the value of 35(10^-8)? Find the answer.
To find the value, you will need to use the Order of Operations (PEMDAS).
Answers
Answer:
Step-by-step explanation:
35(10⁻⁸) = 35(0.00000001) = 0.00000035
substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. which quadratic equations will have two real number solutions? (the related quadratic function will have two x-intercepts.) check all that apply. 0
Answers
To determine the discriminant of a quadratic equation, we substitute the values of a, b, and c into the expression b^2 - 4ac. The discriminant helps us determine the nature of the solutions of the quadratic equation.
For a quadratic equation of the form ax^2 + bx + c = 0, the discriminant (D) is given by b^2 - 4ac.
Based on the value of the discriminant (D), we can determine the nature of the solutions:
If D > 0, the quadratic equation will have two distinct real number solutions.
If D = 0, the quadratic equation will have one real number solution (a repeated root).
If D < 0, the quadratic equation will have no real number solutions (complex solutions).
Since the options provided do not include any values for a, b, or c, it is not possible to determine the discriminant or identify which quadratic equations will have two real number solutions. If you provide the specific values for a, b, and c, I would be able to calculate the discriminant and determine the nature of the solutions for the quadratic equation.
Know more about quadratic equation here:
https://brainly.com/question/30098550
#SPJ11
Jim had €80 he spent 0.3 of it how much did he spend?
Answers
Answer:
€24
Step-by-step explanation:
If he had €80 and spent 0.3 of it, he spent 30% or 30/100 of it.
€80*\(\frac{30}{100}\) = €80*\(\frac{3}{10}\) = €24.
Please mark as brainliest!
In a pack of Skittles, 20% are red. If 13 are red, how many skittles were in the entire bag?
Answers
The total number of skittles in the bag will be 65.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that In a pack of Skittles, 20% are red. If 13 are red. The total number of skittles will be calculated as,
N = ( 13 / 20 ) x 100
N = 130 / 2
N = 65
Therefore, the total number of skittles in the bag will be 65.
To know more about an expression follow
https://brainly.com/question/11446731
#SPJ1
An ice cream factory makes 220 quarts of ice cream in 10 hours. How many quarts could be made in 36 hours? What was that rate per day?
( I will mark brainliest, please answer+explain!)
Answers
Answer:
For 36 hours, that would be 792 quarts. The unit rate is 528 quarts per day.
Step-by-step explanation:
If you divide 36 by 10, you get 3.6, and then you multiply that with 220. That gets you 792 quarts for 36 hours. To find out the rate per day, do 24 divided by 10, and then multiply that by 220.
Solve the system of equation using the elimination multiplication method 3c+6d=18
6c-2d=22
show your work
Answers
So the solution to the system of equations is:
c = 4, d = 1
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, separated by the 'equal' sign.
Define quadratic equation.x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given equation I is \(3c+6d=18\) and equation II is \(6c-2d=22\)
We can start by multiplying the first equation by -2 and adding it to the second equation. This will eliminate the d variable:
\(-6c - 12d = -36\)
\(6c - 2d = 22\)
\(0c - 14d = -14\)
solving this we know value of \(d=1\)
So we know that d = 1, and we can substitute that into the first equation to find the value of c:
\(3c + 6d = 18\)
\(3c + 6(1) = 18\)
\(3c = 12\)
\(c = 4\)
So the solution to the system of equations is:
\(c = 4, d = 1\)
To know more about algebra visit:
https://brainly.com/question/24875240
#SPJ4
Suppose that c(x) is the cost of manufacturing x items. find a production level that will minimize
Answers
The production level that would minimize the average cost per item of making x items is x = 12
How to solve for the production levelWe have Cx = x3 - 24x2 + 30,000x
divide through the equation by x, this would give us
c = x² - 24x + 30,000
we have to take the first derivative of this
so we would have
2x - 24= 0
From the equation above we have
2x = 24
divide through by 2
x = 24/2
x = 12
The production level that would minimize the average cost per item of making x items is x = 12
Complete question
Suppose c(x) = x3 - 24x2 + 30,000x is the cost of manufacturing x items. Find a production level that will minimize the average cost per item of making x items.
Read more on minimization here: https://brainly.com/question/14965408
#SPJ4
Select the relation that IS a function.
a. {(-6, -5), (3, 2), (10, 8), (3, 3)}
b. {(-2, -1), (5, -1), (16, 3), (-3, -9)}
c. {(5, 10), (-3, 10), (-3, -10), (4, 7)}
d. {(21, 11), (21, 10), (21, 9), (21, 8)}
Answers
Answer:
B is the function.
Step-by-step explanation:
since there is one y value for every x value we know that is a function
A rectangular prism with a volume of 222 cubic units is filled with cubes with side lengths of \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction unit.
How many \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction unit cubes does it take to fill the prism?
Answers
Answer: 128 cubes
Step-by-step explanation:The dimension of the rectangular prism is not given, assumed not important.
Find the volume of 1 cube:
Volume = 1/4 x 1/4 x 1/4
Volume = 1/64 units³
Find the number of cubes that can go into the prism:
Number of cubes = 2 ÷ 1/64
Number of cubes = 128
work done=force x.......... a) displacement b) distance c) velocity d) speed
Answers
Answer:
b
Step-by-step explanation:
| Solve for X
8x + 1 = 49
Answers
8x = 48
x = 6