the one-to-one function is defined below. find , where is the inverse of . also state the domain and range of in interval notation.

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Answer 1

Here's the answer to the given question:The one-to-one function is defined below. Find, where is the inverse of . Also, state the domain and range of in interval notation.

Given function is:  ()=4+3()=4+3For finding the inverse of the function, we have to interchange the places of x and y in the function. After interchanging, we have:  =4+3=4+3  →  =1/4(−3)=1/4(−3).

Therefore, the inverse function is given by:  ^(−1)()=1/4(−3)−1(x)=1/4(x−3)Now, we can write the domain of the function as: {|∈} {x|x∈R}Also, we can write the range of the function as: {|∈} {y|y∈R}Therefore, the domain of the function is {|∈} {x|x∈R} and the range of the function is {|∈} {y|y∈R} in interval notation.

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Related Questions

How much more organic carbon would be saved annually by using reduced tillage? A. 12,000 g/ha. B. 70 kg/ha. C. 7,000 g/ha. D. 120 kg/ha.

Answers

The correct answer is Option B. There'll be 70 kg/ha organic carbon would be saved annually by using reduced tillage.

Reduced tillage, also known as conservation tillage, is a practice that minimizes the disturbance of the soil and helps to maintain organic carbon in the soil. This practice can help to improve soil health, reduce erosion, and increase water retention.
One study found that reduced tillage can increase organic carbon levels in the soil by 70 kg/ha (kilograms per hectare) per year. This is equivalent to 70,000 g/ha (grams per hectare) per year. Therefore, the correct answer is option B. 70 kg/ha.
In conclusion, reduced tillage can help to increase organic carbon levels in the soil, leading to improved soil health and other benefits. The amount of organic carbon saved annually by using reduced tillage is 70 kg/ha.

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Jim made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces was $25.80. If the beads cost a total of $10.20, How much did each pendant cost.


I will gave brainlist and 25 points

Answers

Answer:

2.60

Step-by-step explanation:

25.80-10.20+15.60

15.6/6=2.60

Answer:

2.60

Step-by-step explanation:

divide the remaining money by six and you get 2.6/2.60

evaluate the expression. (simplify your answer completely.) (a) log2(32) (b) log8(816) (c) log2(1)

Answers

Evaluation of expression are: a) log2(32) = 5 b) 8 is not a factor of 816, hence its log8(816) c) log2(1) = 0

A logarithm is a mathematical function that shows how many times a given base number must be increased to arrive at a specific value. Calculating orders of magnitude, simplifying expressions, and solving equations are just a few of the many mathematical tasks that may be accomplished with logarithms. A number's logarithm is represented by the letter "log" followed by a base-indicating subscript, such as "log base 10" or "log base e" (the natural logarithm).


a) To evaluate the expression log2(32), we need to ask ourselves the question "2 raised to what power equals 32?" The answer is 5, since 2^5 = 32. Therefore, log2(32) = 5.

b) To evaluate the expression log8(816), we need to ask ourselves the question "8 raised to what power equals 816?" We can use the prime factorization of 816 to help us with this. 816 = 2^4 * 3 * 17, and we can see that 8 is not a factor of 816. Therefore, we cannot simplify this expression any further and our answer is just log8(816).

c) To evaluate the expression log2(1), we need to ask ourselves the question "2 raised to what power equals 1?" The answer is 0, since any number raised to the 0th power equals 1. Therefore, log2(1) = 0.

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help lolololololol um

help lolololololol um

Answers

Answer:

The correct answer is B. m = 1.1

Step-by-step explanation:

Every time x is increases by 1, y increases by 1.1.

Answer:

m = 1.1

Step-by-step explanation:

The function equation is y = 1.1x because every increase in x produces an additional output of 1.1, therefore the slope equals 1.1.

What is a Terminating decimal and a Repeating Decimal. Whats the difference?

Answers

Answer:

If you end up with a remainder of 0 , then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.

A repeating decimal has non-zero repeating values, while a terminating decimal ends in zero.

Does someone mind helping me with this question? Thank you!

Does someone mind helping me with this question? Thank you!

Answers

Answer:

y - (-2) = 3(x - 1)

y = 3x - 5

Step-by-step explanation:

Parallel lines have the same slope.

\(y_{1} = -2\\x_{1} = 1\\m = 3\)

y - (-2) = 3(x - 1)

y + 2 = 3x - 3

y = 3x - 5

Check that y = 3x - 5 includes the point (1, -2):

-2 = 3(1) - 5

-2 = 3 - 5

-2 = -2

Tasha bikes two miles.
Cory bikes 2 times as far as Tasha
Kei bikes 2 times as far as cory
which exponential question represents the distance Kei bikes
A.2 2
B 3. 2
C 2. 4
D 2 3
btw all the second numbers are supposed to be tiny numbers

Answers

Answer: A?

Step-by-step explanation:

Answer:2^3

Step-by-step explanation:

Right triangle ABC is shown below.

A similar right triangle would be created by a run of 4 and a rise of _

Right triangle ABC is shown below. A similar right triangle would be created by a run of 4 and a rise

Answers

I believe the rise will be 12.

Answer:

12

Step-by-step explanation:

edge :)

I need help I just got this today no clue how to do it it’s due tomorrow btw

I need help I just got this today no clue how to do it its due tomorrow btw

Answers

Answer:

i am REALLLYYY not sure about my answer but i think its 6. i dont recommend you to put that answer in lol

Step-by-step explanation:

6 = 3/3

1+1= HURRY PLEASE!!!!!

Answers

Answer:

i-i- ummmmmmmm i think its goldfish.

1. Match the directed line segment with the image of Polygon P being transformed to Polygon Q by translation by that directed line
segment.

Answers

I just did this in my math test

you have three dice: one red (r), one green (g), and one blue (b). when all three dice are rolled at the same time, calculate the probability of the following outcome:...?

Answers

The probability of rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die at the same time is 1/216, or approximately 0.46%.

Assuming that each die is fair and that the outcome of rolling one die does not affect the outcome of rolling the others, the probability of rolling a 6 with the red die is 1/6, the probability of rolling a 5 with the green die is also 1/6, and the probability of rolling a 4 with the blue die is 1/6.

Since the three events of rolling each die are independent of each other, we can multiply their probabilities to get the probability of all three events happening at the same time, i.e., rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die:

Probability of rolling 6 with the red die = 1/6

Probability of rolling 5 with the green die = 1/6

Probability of rolling 4 with the blue die = 1/6

Probability of rolling 6 (R), 5 (G), 4 (B) at the same time = Probability of rolling R and G and B together = Probability of R × Probability of G × Probability of B

= 1/6 × 1/6 × 1/6 = 1/216

Therefore, the probability of rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die at the same time is 1/216, or approximately 0.46%.

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You have three dice: one red (R), one green (G), and one blue (B). When all three dice are rolled at the same time, calculate the probability of the following outcome: 6 (R), 5 (G), 4 (B)?

¿Cuál número decimal corresponde a la fracción 1328?

Answers

Answer:

3

Step-by-step explanation:

PLEASE HELP ME ASAP FOR 11 and 15 show all your work FOR 30 points and BRAINLIEST

PLEASE HELP ME ASAP FOR 11 and 15 show all your work FOR 30 points and BRAINLIEST

Answers

Answer:

11. (-3, -1)

Step-by-step explanation:

11.

-8x+y=23

solve for y by y= 23+8x

substitute the given value of y into the equation

-x-4(23+8x) = 7

solve for x and get x = -3

substitute the -3 for x

y= 23+8 x (-3)

y= 23 + (-4)

y = -1

slope if (5,6) and (-7,5)

Answers

hi

you have twi points     A ( X;Y)  and B ( X ; Y)

slope is   :    ( Yb -Ya)   / (Xb -Xa )

so  :      ( 5-6 )  /( -7- 5)  =     -1 /-12   =  1/12

Find the equation that can represent the situation if the sum of two numbers is 56. We also know that the greater number is 4 more than the smaller number.(5 points)

a
x - (x + 4) = 56

b
x (x - 4) = 56

c
x (x + 4) = 56

d
x + (x + 4) = 56

Answers

Answer:

is question correct

please help for a brainliest

please help for a brainliest

Answers

I'm numbering the right side for easy reference

A-3, B-4, C-1, D-2

f(x) = 3x + 5
g(x) = 4x² - 2
h(x) = x²-3x+1
Find f(x) + g(x) - h(x).
O 3x² + 6x + 2
-O 3x²+2
O 6x2² +6x-1
O 5x² +4

Answers

After solving the expression we get 3x² ₊ 6x ₊ 2 .

Given f(x) = 3x₊5

g(x) = 4x² ₋ 2

h(x) = x² ₋ 3x ₊ 1

f(x)  ₊  g(x) ₋ h(x)

substitute the values.

3x ₊ 5 ₊ 4x² ₋ 2 ₋ (x² ₋ 3x ₊ 1)

4x² ₊ 3x ₊ 3 ₋ x² ₊ 3x ₋ 1

3x² ₊ 6x ₊ 2

hence we get 3x² ₊ 6x ₊ 2 .

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a slice of a pie weighs 8 ounces. how many pounds do 6 slices of pie weigh? (2 points)2 pounds3 pounds4 pounds5 pounds

Answers

Answer:

3 Pounds

Step-by-step explanation:

If 1 slice of pie = 8 ounces that means that 6 slices would be 48 ounces because of 6 slices * 8 ounces. Now we have to take the 48 ounces and divide them by 16 because 16 ounces = 1 pound. And in doing so, 6 slices would = 3 Pounds.

Solve for x: −2x + 5 < 7 (1 point)

Group of answer choices

x > −1

x < −1

x > −6

x < −6

Answers

Answer:

\(\boxed {x > -1}\)

Step-by-step explanation:

Solve the following inequality:

\(-2x + 5 < 7\)

-Subtract \(5\) to both sides:

\(-2x + 5 - 5 < 7 - 5\)

\(-2x < 2\)

-When you are dividing an integer by a negative integer, the inequality sign changes. So, you divide both sides by \(-2\):

\(\frac{-2x}{-2} < \frac{2}{-2}\)

\(\boxed {x > -1}\)

7x + 12 = 26
what does x equal

Answers

Answer:

x=2

Step-by-step explanation:

Hope this helps :}

Pls mark brainliest :P

And have an amazing day <3

378 miles to 15 gallons of gas

Answers

Answer:

The answer is 25.2

Step-by-step explanation:

Just divided 378 by 15 :)

selana wonders whether a person at a small table or a person at a large table gets more pizza. she uses two ratios, 8 : 3 and 10 : 4, and says​

Answers

Answer:

Step-by-step explanation:

No, Selena is incorrect.

answer: Even though there are six

more people than pizzas at the large table and only five more people

than pizzas at the small table, each person at the large table will get

a greater share of pizza than each person at the small table.

Describe the error in finding the distance between A(6, 2) and B(1,-4). X AB = V(6-2)2 +[1-(-4)] = 142 +52 = V 16 + 25 = 141

Answers

The distance between two points can be calculated using the formula;

\(d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

For points;

\(A(x_1,y_1)\text{ and B}(x_2,y_2)\)

Given the points;

\(\begin{gathered} A\left(6,2\right)and \\ B\left(1,-4\right) \end{gathered}\)

The distance between the two points can be calculated using the above formula;

\(\begin{gathered} AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2} \\ AB=\sqrt{(-4-2)^2+(1-6)^2} \\ AB=\sqrt{(-6)^2+(-5)^2} \\ AB=\sqrt{36+25} \\ AB=\sqrt{61} \end{gathered}\)

The distance between the two points is;

\(AB=\sqrt{61}=7.81\)

the cost of hiring a taxi is partially constant and partly varies directly with the distance travelled it costs $500 for a journey of 10cm and $650 for a journey of 15km
(a) find the formula connecting the cost (c) with the distance travelled (d) km
(B)Hence find the cost of a 7km taxi journey

Answers

By using the unitary method, the formula connecting the cost (c) with the distance travelled (d) km is

For the 10 km journey the formula will be,

c = (500/10) x d

For the 15 km journey, the formula will be,

c = (650/15) x d.

And the cost for 7km is $350.

Unitary method:

Unitary method is the type of method of determining the answer to a problem by first determining the value of a single unit and then multiplying the single unit value.

Given,

The cost of hiring a taxi is partially constant and partly varies directly with the distance travelled it costs $500 for a journey of 10cm and $650 for a journey of 15km

Here we need to find the formula for this distance calculation and the cost for 7 km.

Let us consider c be the cost for the distance d.

Therefore, the formula for calculating the cost is written as,

For the 10 km journey the formula will be,

c = (500/10) x d

For the 15 km journey, the formula will be,

c = (650/15) x d.

Here we have the value of disance d which equal to 7, which means it will come under the 10 km journey, so the cost is,

c = (500/10) x 7

c = 50 x 7

c = 350

Therefore, the cost for 7 km is $350.

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The table shows the number of rabbits r in a particular forest t years after a forest fire. Write and use an exponential model to find how many years it will take for the rabbit population to surpass 20,000. Please show your work!​

The table shows the number of rabbits r in a particular forest t years after a forest fire. Write and

Answers

Answer:

t = 6.29 years

Step-by-step explanation:

The general formula of an exponential function is

\(y=ab^x\), where a is the initial value (i.e., value of y when x = 0), b is the base, and x is the exponent.

We can express rabbit population as a function of time in years, which means in our formula, r is like y and t is like x:

\(r=ab^t\)

Because at time t = 0, the rabbit population is 20, we know that our a value for the equation is 20.

We can find b by simply plugging in 20 for a and any point for r and t like (1, 60):

\(60=20b^1\\3=b\)

Thus, the equation we will need to use to find the rabbit population is

\(r < 20(3)^t\)

It's helpful to use an inequality where the equation is greater than r since we want to know how many years it will take for the population to exceed 20000:

\(20000 < 20(3)^t\\\\1000 < 3^t\\\\log(1000) < log(3)^t\\\\log(1000) < t*log(3)\\\\log(1000)/log(3) < t\\\\6.287709823 < t\\6.29 < t\)

We can check our answer by plugging in 6.29 for t and check whether the answer we get is greater than 20000:

\(20000 < 20(3)^6^.^2^9\\20000 < 20*1002.519185\\20000 < 20050.38369\\20000 < 20050.38\)

how would the goodness-of-fit procedure be modified to check that data follows a continuous distribution?

Answers

To check that data follows a continuous distribution using the goodness-of-fit procedure you can change the continuous variable into categorical.

In this question we need to describe how would the goodness-of-fit procedure be modified to check that data follows a continuous distribution.

We know that the Chi - square goodness of fit test can be applied to discrete distributions such as binomial, Poisson, etc.

For continuous distributions we can use Kolmogriv - Smirnov test, t-test ( the single-sample, paired t-test, and the two-sample, unpaired t-test)

A goodness-of-fit test is concerned with the question whether a data set may have been generated by a certain distribution.

Therefore, to check that data follows a continuous distribution we need to change the continuous variable into categorical.

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What is the mean of 3, 5, 4, 3, 5, 4

Answers

Step-by-step explanation:

FX=3+5+4+3+5+4

=24

N=6

mean (x)=?

Now,

x=FX÷N

=24÷6

=4

Please help me!!!!!!!!

Please help me!!!!!!!!

Answers

We can see here that the solutions to the triangles are:

1. 62.2°.

2. 35.9°

3. 61.9°

4. 53.1°

How we arrived at the solutions?

We can see here that using trigonometric ratio formula, we find the values of x.

We see the following:

1. Cos x = 7/15 = 0.4666

x = \(cos^{-1}\) 0.4666 = 62.2°.

2. Sin x = 27/46 = 0.5869

x° = \(sin^{-1}\)  0.5869  = 35.9°

3. Sin x = 30/34 = 0.8823

x° = \(sin^{-1}\) 0.8823 = 61.9°

4. Tan x = 8/6 = 1.3333

x° = 1.3333 = 53.1°

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a random sample of size 36 is taken from a population with mean 17 and standard deviation 6. the probability that the sample mean is greater than 18 is?

Answers

The probability that the sample mean is greater than 18 as calculated  is 0.8413.

Given data,

n = 36, sample size

μ = 17, population mean

σ = 6, population standard deviation

when x = 18

z = (18 - 17)/1 = 1

P(x <18) = 0.8413

Therefore , the probability = 0.8413

A population's standard deviation serves as a gauge for how widely distributed its individual data points are. It's a way to express how dispersed from the mean the data is.

While a large standard deviation indicates that the data is more spread, a small standard deviation indicates that the data points are often close to the mean.

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