Answers
Answer:
f(x) = (3x - 7)/5
f^-1(x) = (5y + 7)/3
The DOMAIN is the set of all possible numbers that you can put in for the independent variable and get an answer. If you had g(x) = 1/x, you could NOT put in 0 for x and get an answer because 1/0 is undefined. So the domain is all numbers but 0.
The RANGE is the set of numbers you will get for the dependent variable. If you had g(x) = 1/x, you could NOT get 0 for g(x), no matter what you put in for x. So the range is all numbers but 0.
In both your functions the domain and the range equal all possible numbers. Or all real numbers.
Step-by-step explanation:
Another way to write the answers is:
D = {x | x = R} and R = {f(x) | f(x) = R} where
D = domain, R = range, { } means set, | is such that.
Related Questions
Write an expression to represent the revenue received by selling helmets.
Answers
An expression to represent the revenue that is received by selling helmets is 21x.
What expression shows revenue?The revenue from selling a product can be found as:
= Selling price x Number of units sold
The selling price is given as $21.
If we assume that the number of units sold is x, then the expression for total revenue from selling helmets is:
= 21 × x
= 21x
Rest of the question is:
Ben's Bicycle Helmets makes bicycle helmets at a cost of 3000 + 12x dollars per month to produce x helmets. They sell the helmets for $21 each.
Find out more on total revenue expressions at https://brainly.com/question/25623677
#SPJ1
Four siblings are 4, 7, 8, and 10 years of age. below.Calculate the standard deviation of their current ages.
enter your response here how many years
(Round to the nearest tenth as needed.)
Answers
According to the question,Thus, the standard deviation of their current ages is 2.7 years.
What is the deviation ?Deviation is a measure of how much a set of values or scores differ from the mean or average. It is calculated by subtracting the mean from each value, squaring the difference, and then summing all of the squared differences. The result is then divided by the number of values in the set. The result is the variance, which is then square rooted to give the standard deviation. Standard deviation is a measure of how spread out the values are in a given set.
The standard deviation of their current ages is 2.7 years.
To calculate the standard deviation, we need to first find the mean (average) of the four ages. The mean of 4, 7, 8 and 10 is 7.5.
Next, we need to find the difference of each age from the mean. This difference is called a deviation.
The deviations are -3.5, -0.5, 0.5 and 2.5.
We then square each of these deviations and sum them up.
(-3.5)2 + (-0.5)2 + (0.5)2 + (2.5)2 = 12.5
Finally, we divide the sum by the number of siblings (4) and then take the square root of the result to get the standard deviation.
√12.5/4 = 2.7 years
Thus, the standard deviation of their current ages is 2.7 years.
To learn more about deviation
https://brainly.com/question/24298037
#SPJ1
-5x - 2y = 12 and 3x +2y = 8 using elimination as an ordered pair
Answers
Answer:
(-10, 19)
Step-by-step explanation:
Hey there!
In order to find the value of x and y, you need to make a system of equations
Now the question says to use elimination
The elimination method is when you make two values the same and then eliminate them with the proper sign: addition, subtraction, etc.
In this case, the step of making equal values is already done for us since there is 2y in both equations
\(-5x-2y=12\\3x+2y=8\\\\-2x=20\\x=-10\\\)
What was done was called elimination
I added both equations together and when you add -2y and 2y, they eliminate each other
Now when you simplify the system, you get that x is equal to -10
Now we can substitute this value into the first or second equation
I am going to do the first equation
\(-5(-10)-2y=12\\50-2y=12\\-2y=-38\\y=19\)
So after substituting the x value in the equation, we got the y value
Which is 19
So the solution to this system of equations is:
(-10, 19)
Need help with this fast
Answers
Answer:
15%
Step-by-step explanation:
add them all up and then subtract from 100
(b) 0.701935...
O rational
O irrational
Answers
Answer:
I think 0.701935... is irrational
Heather went for a drive in her new car. She drove for 201.6 miles at a speed of 63 miles per hour. For how many hours did she drive?
Answers
Answer:
3.2
Step-by-step explanation:
201.6/63 is 3.3
What calculator is used for pre-calculus?
Answers
A scientific calculator is typically used for pre-calculus.
This type of calculator is designed to handle more advanced mathematical functions, such as trigonometry, logarithms, and exponents, which are commonly used in pre-calculus.
It is important to have a scientific calculator for pre-calculus because it allows you to easily solve more complex equations and perform calculations quickly and accurately.
Additionally, many scientific calculators have graphing capabilities, which can be useful for visualizing equations and understanding how they behave. Overall, a scientific calculator is an essential tool for pre-calculus and can help you succeed in the course.
To know more about pre-calculus click on below link:
https://brainly.com/question/28527542#
#SPJ11
In the diagram, ⨀R≅ ⨀S . Find m DE⌢ .
Answers
Answer:
60°
Step-by-step explanation:
ST = SW, since both are radii of the circle.
SW = WT, given.
STW is an equilateral triangle.
RED is an equilateral triangle.
Therefore, the measure of DE is 60°.
The sales tax rate is 5%. If Nora buys a robot priced at $55, how much tax will she pay?
Answers
Answer:
$2.75
Step-by-step explanation:
55 x 0.05 = 2.75
Amaya is graphing the inequality x greater-than 11 on a number line. Which statements below describe steps she may take to graph the inequality correctly? Check all that apply.
Draw an open circle at 11.
Draw a closed circle at 12.
Shade all numbers to the left of 11.
Shade all numbers to the left of 12.
Shade all numbers to the right of 11.
Shade all numbers to the right of 12.
Answers
Answer:
Draw open circle AT 11
Shade all numbers to the right of 11
Step-by-step explanation:
Have a great day!
Answer:
its A,B
Step-by-step explanation:
.A crocodile opens his jaws at a 36° angle. He closes his jaws, then opens them
again at a 30° angle. In which case is the distance between the tip of his upper
jaw and the tip of his lower jaw greater?
Answers
Answer:
I would guess the 30 degree one.
Step-by-step explanation:
A games console costs £255 in the uk. The same one costs 300 euros in france.
The exchange rate is £1 - €1.16
is it cheaper to buy the games console in the uk or france
show your working
Answers
It is cheaper to buy the games console in the UK.
What is Measurement unit?Measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
A games console costs £255 in the UK.
And, The same one costs 300 euros in France.
Here, The exchange rate is,
⇒ £1 = €1.16
Hence, The cost of games console in UK is,
⇒ £1 = €1.16
⇒ £255 = €1.16 × 255
= €295.8
Thus, It is cheaper to buy the games console in the UK.
Learn more about the measurement unit visit:
https://brainly.com/question/777464
#SPJ1
Write as many expressions as you can that have the same value as 10 to the 6 power. Focus on using
exponents and multiplication.
Answers
1,000,000
100 * 100 * 100
100^3
1,000^2
10,000 * 100
10^4 * 10^2
10^3* 10^3
10^5 * 10
1,000 * 1,000
100,000 * 10
400,000 * 2.5
500,000 * 2
250,000 * 4
200,000 * 5
10 * 10 * 10 * 10 * 10 * 10
10^3 * 10 * 10^2
10^4 * 10 * 10
10^7 / 10
10^10 / 10^4
I DON'T WANT TO WRITE MORE
The solution is: the expressions as we can that have the same value as 10 to the 6 power , using exponents and multiplication are given below.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
10 to the 6 power
i.e. 10^6
now, using exponents and multiplication the expressions as we can that have the same value as 10 to the 6 power are:
1,000,000100 * 100 * 100100^31,000^210,000 * 10010^4 * 10^210^3* 10^310^5 * 101,000 * 1,000100,000 * 10400,000 * 2.5500,000 * 2250,000 * 4200,000 * 510 * 10 * 10 * 10 * 10 * 1010^3 * 10 * 10^210^4 * 10 * 1010^7 / 1010^10 / 10^4To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
A diagonal divides a rectangle that is 9 feet wide and 17 feet long into two identical triangles. What is the area, in square feet, of one of the triangles?
Answers
Answer:
area of a triangle = 1/2 × base × height
= 1/2×17×9
=76.5 square feet
The area of one triangle is 76.5 square feet.
How do we find the area of a right-angled triangle?Area of a triangle = (1/2)*base*height.
For a right-angled triangle, the base and height are the two sides making the right angle, that is, the base and the perpendicular.
∴ Area of a right-angled triangle = (1/2)*base*perpendicular.
How do we solve the given question?We are given a rectangle with sides of 9 feet and 17 feet. We are informed that this rectangle is divided into 2 identical triangles by its diagonal.
We know that the angles in a rectangle are all right angles, so the formed triangle is a right-angled triangle.
We can now find the area of this triangle using the given information,
Area of one triangle = (1/2)*9*17 square feet = 0.5*153 square feet
or, Area of one triangle = 76.5 square feet
∴ The area of one of the triangles is 76.5 square feet.
Learn more about the areas of the right-angled triangle at
https://brainly.com/question/17021146
#SPJ2
find the area of the middle rectangle if you know the two specified distances and the areas of the left and right rectangles.
Answers
The area of the middle rectangle is (d1 * d2) - (A1 + A2). By using the given distances and areas, we can find the area of the middle rectangle.
To find the area of the middle rectangle, we need to use the given information about the two specified distances and the areas of the left and right rectangles. Here are the steps to follow:
Let the two specified distances be d1 and d2, and the areas of the left and right rectangles be A1 and A2, respectively.
The area of the middle rectangle can be found by subtracting the areas of the left and right rectangles from the total area of the three rectangles combined.
The total area of the three rectangles combined is equal to the product of the two specified distances, or d1 * d2.
Therefore, the area of the middle rectangle is (d1 * d2) - (A1 + A2).
Plug in the given values for d1, d2, A1, and A2, and simplify to find the area of the middle rectangle.
So, the area of the middle rectangle is (d1 * d2) - (A1 + A2). By using the given distances and areas, we can find the area of the middle rectangle.
Learn more about Area
brainly.com/question/27683633
#SPJ11
Which of the following equations represents a proportional relationship?
A: y = 3x
B: y = 1/2x + 1
C: y = x/3 + 4
D: y = 2/5 - 5
Answers
Answer:
a
Step-by-step explanation:
y=3x
thus, a proportional relationship equation is y=kx .Where k is constant
Which expression is equivalent to (9x5y16/45x5y4)?
Answers
Answer:
the expression equal to this is 20 X /25 is the answer for the expression is 4 x/ 5
Step-by-step explanation:
The answer is the first one - y^12/5
While counting supplies you determine that you have 4.7 moles of sodium
carbonate remaining. you teacher asked you to record the remaining
supplies in molecules/atoms. what conversion should you use to convert it
from moles to molecules/atoms
Answers
4.7 moles x 6.022 x 10^23 molecules/atoms per mole = 2.82694 x 10^24 molecules/atoms of sodium carbonate remaining.
To convert from moles to molecules/atoms, you need to use Avogadro's number, which is 6.022 x 10^23 molecules/atoms per mole. Therefore, to convert 4.7 moles of sodium carbonate to molecules/atoms, you would multiply 4.7 by Avogadro's number. The long answer would be:
To know more about molecules visit :-
https://brainly.com/question/30465503
#SPJ11
by how much must the sample size be increased if the width of the confidence interval in part (a) is to be halved?
Answers
The sample size must be increased by a factor of 4 if the width of the confidence interval is to be halved.
In Equation 6.19, the two-sided confidence interval for the population mean with known variance is given by:
CI = \(\bar{x}\) ± z(α/2) * (σ/√n)
where \(\bar{x}\) is the sample mean, z(α/2) is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.
To halve the width of the confidence interval, we need to reduce the term z(α/2) * (σ/√n) by a factor of 2. Since z(α/2) and σ are constant, we can focus on reducing √n.
Let's assume the original sample size is n. To halve the width, we need √n to be halved. Therefore, the new sample size, n', can be determined by:
√n' = (√n) / 2
Squaring both sides:
n' = (n / 4)
Therefore, to halve the width of the confidence interval, the sample size needs to be increased by a factor of 4.
Therefore, the sample size must be increased by a factor of 4 if the width of the confidence interval is to be halved.
To learn more about confidence interval from the given link
https://brainly.com/question/20309162
#SPJ4
Note: The correct question would be as
Consider a two-sided confidence interval of the population mean with known variance (Equation 6.19 in Ang and Tang) a. By how much must the sample size n be increased if the width of the confidence interval is to be halved?
Hello,May I please request help for number 13 in the uploaded picture? We are to do the following: Write the first four terms of each seequence.
Answers
To solve this question, find the 4 first terms of the sequence.
The first term is a₁
a₁ is given and a₁ = 7
The second term is a₂
Given:
\(a_n=a_{n-1}+5\)Then, let's find a₂ using the value of a₁
\(\begin{gathered} a_2=a_1+5 \\ a_2=7+5 \\ a_2=12 \end{gathered}\)The third term is a₃
let's find a₃ using the value of a₂
\(\begin{gathered} a_3=a_2+5 \\ a_3=12+5 \\ a_3=17 \end{gathered}\)The fourth term is a₄
let's find a₄ using the value of a₃
\(\begin{gathered} a_4=a_3+5 \\ a_4=17+5 \\ a_4=22 \end{gathered}\)Answer:
The four first terms are:
a₁ = 7
a₃ = 12
a₃ = 17
a₄ = 22
The table shows a probability of drawing numbered tickets from a jar if 8 tickets are randomly drawn how many tickets would be expected to have a number that ends with a 6
Answers
Answer:
4
Step-by-step explanation:
If you do .50 x 8 from each ticket being drawn and the probability you get 4
Really urgent!!!!
Bus X, Bus Y and Bus Z leave the bus terminal every 35 minutes, 40 minutes and 42 minutes respectively. Given that the 3 buses leave the interchange together at 0620, what would be the next time the three buses leave together?
Answers
Answer:
Step-by-step explanation:
Find the lowest common multiple between the numbers
35 = 5×7
40 = 2³×5
42 = 2×3×7
So the lowest common multiple is:
2³×3×5×7 =840 minutes
840 minutes is 14 hours so the next time they are all at the interchange is 2020 hours.
The Gallup News Service conducted a survey of 1,004 adults where the respondents were asked, "Do you have a great deal of concern regarding global warming?" What type of study is this?
Answers
The study conducted by the Gallup News Service, asking 1,004 adults about their level of concern regarding global warming, is a cross-sectional study.
The study conducted by the Gallup News Service, where 1,004 adults were surveyed and asked about their level of concern regarding global warming, can be categorized as a cross-sectional study. In a cross-sectional study, data is collected at a specific point in time from a sample of individuals or units from a population. In this case, the survey gathered information from a group of adults at a particular time to understand their level of concern regarding global warming.
To know more about Gallup News, refer here:
https://brainly.com/question/29405059
#SPJ4
GO ACROSS!!! Plz help
Answers
reverse percentage problem
Answers
answer: you're missing the problem
a line crosses 2 parellel linees creating angle a whhic measue 50 degrees how many degrees does angle b have?
Answers
Answer:
The other angles measure 50° or 130° depending on whether they are vertical or adjacent, respectively, to the 50° angle.
Step-by-step explanation:
A line crosses another line.
One angle created by the two lines measures 50°.
The other angle measure is 180° - 50° = 130°.
The angles created by the lines measure 50° or 130°.
HELP ASAP!! SOMEONE DO NUMBER 7 AND 8. ILL GIVE BRAINLIEST
Answers
Answer:
3.6 3/6 3.6 percent 3:6
Step-by-step explanation:
10:9
15:14
20:19
Answer:
7. 3:6, 3/9 (or 6/9), .33..... (or .66......), 33.3......% (or 66.6.....7)
8. 10 roses, 8 daisies, 10:8 ratio
15 roses, 13 daisies, 15:13 ratio
20 roses, 16 daisies, 20:16 ratio
( the 15 roses part was hard so if its wrong im sorry)
PLEASE HELP.!! ILL GIVE BRAINLIEST *EXTRA POINTS* DONT SKIP.!! :((
Answers
Answer: -53 then -24 then 0 then 18
Step-by-step explanation:
Alejandro recibio su tiket de compra por 2 cajas de pastillas de $320 cada uno y un costo de aplicación y revisión. Su pago final fue de $470 ¿Cuánto pagó por su pago por la aplicación y revisión? Plantea la ecuación.
Answers
Answer:
$150
Step-by-step explanation:
Costo de 2 cajas de pastillas = $ 320
Costo de la solicitud y tarifa de revisión = x
La ecuación se da como:
320 + x = 470
x = 470 - 320
x = 150
El costo de la solicitud y la tarifa de revisión = $ 150
The refinery melts 1.25 tons of trash in 2 hours. If the furnace only melts trash Monday through Friday, 6am to 6pm, how many tons of trash is melted in a week?