For the functions ​f(x)=x−1 and ​g(x)=5x find the following.
​(a)​ (f◦​g)(x) and its domain
​(b)​ (g◦​f)(x) and its domain

Answer:

undefined

Step-by-step explanation:

because

the figure does not appear

Answer:

Step-by-step explanation:

An easy method is to subtract the areas of two rectangles, 5x4 and 3x1:

Divide into two rectangle

In the below one

Area=4(2)=8mm^2

In above one

Area=3(3)=9mm^2

Total area

Answer:

63 students

Step-by-step explanation:

84*75%=63

Answer:

28 / 4 = -7.v

Step-by-step explanation:

Answer:

y=  −1 /2 x+1

Step-by-step explanation:

Let's solve for y.

2x+4y=4

Step 1: Add -2x to both sides.

2x+4y+−2x=4+−2x

4y=−2x+4

Step 2: Divide both sides by 4.

4y /4  =  −2x+4 /4

y=  −1 /2 x+1

Answer:

y=  −1 /2 x+1

The coordinates of the resulting point, R', are (1,-4).

A translation is a type of transformation in geometry that moves a point or an object from one place to another without changing its size, shape, or orientation.

To translate a point, you need to specify the direction and distance of the movement.

Given that:

The point R(1,-2) is being translated 2 units down, which means that it will move vertically downwards by a distance of 2 units.

The x-coordinate will remain the same, as the movement is only in the y-direction.

So, to find the coordinates of the resulting point, R', we subtract 2 from the y-coordinate of the original point R:

R' = (1, -2 - 2)

R' = (1, -4)

Therefore, resulting coordinates of R' are (1,-4).

Learn more about transformations here: https://brainly.com/question/26647005

#SPJ1

Answer: Sensitivity Analysis. The notion of duality is one of the most important concepts in linear programming. Basically, associated with each linear programming problem (we may call it the primal. problem), defined by the constraint matrix A, the right-hand-side vector b, and the cost.

Step-by-step explanation:

The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

Read more about numbers at

https://brainly.com/question/20372424

#SPJ1

The answer is:

g(x + 1) = 6x + 1

g(4x) = 24x -5

Work/explanation:

To evaluate, I plug in x + 1 into the function:

\(\sf{g(x)=6x-5}\)

\(\sf{g(x+1)=6(x+1)-5}\)

Simplify

\(\sf{g(x+1)=6x+6-5}\)

\(\sf{g(x+1)=6x+1}\)

------------------

Do the same thing with g(4x)

\(\sf{g(4x)=6(4x)-5}\)

\(\sf{g(4x)=24x-5}\)

Hence, these are the answers.

Answer:

A y=2x + 3

Step-by-step explanation:

Answer:

The answer is A. (y = 2x + 3)

Step-by-step explanation:

Since its talking about $3 plus $2 per dog it would make sense to pick

y = 2x + 3 because 2x represents the number of dogs and how it costs $2 per dog while the 3 represents how it also cost $3 plus the $2.

Answer:

yep that is totally true

Answer: 12 x 12 +144

Step-by-step explanation:

Answer:

it dont show the pic btw

Step-by-step explanation:

Answer:

155/20

Step-by-step explanation:

155/20 in decimal form is 7.75, which is only 0.25 off of 8

7.511 is 0.489 off of 8

8.3% is technically not anywhere near 8 because a percentage needs to be a percentage of something in order to make sense.

Answer:

all of them go in rain drop

Step-by-step explanation:

:) thank me later

It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

Learn more about expressions on:

https://brainly.com/question/723406

#SPJ1

Answer:

No.

Step-by-step explanation:

I hope I helped. <3

Miles is going to spend less than the hours that were spent last week since 2/3 is a fraction.

A fraction represents a part of a whole, and is therefore always less than the whole. For example, 2/3 represents two out of three equal parts of a whole.

The implication of this is that the time that Miles would have to spend on biking in the coming week would be wo out of three equal parts of a whole time that was spent in the last week and this would be less than the time spent last week.

Learn more about fractions:https://brainly.com/question/10354322

#SPJ1

Answer:

I think you need to know the value of X to get this answer.

Step-by-step explanation:

Using opposite by the same vertex and supplementary angles, it is found that the measure of angle 4 is of 66º.

In this problem, angles 5 and 7 are opposite by the same vertex, hence:

m<7 = m<5 = 114º.

Angles 4 and 5 are supplementary, hence:

m<4 + m<5 = 180º.

m<4 = 66º.

The measure of angle 4 is of 66º.

More can be learned about supplementary angles at https://brainly.com/question/2046046

Answer:

8.85 * 10 ^17

Step-by-step explanation:

8.2 * 10 ^17 + 6.5 * 10 ^16

They must be to the same power to add

8.2 * 10 ^17 + .65 * 10 ^17

Add

8.85 * 10 ^17

Answer: f(8) = 620.6

Step-by-step explanation:

To solve, you must first use substitution, and replace the x value in the given function, with 8.

\(f(8)=\frac{750}{1 + 74e^{-0.734(8)} }\)

Next you follow PEMDAS to solve the rest of the equation to find f(8).

What is PEMDAS?

PEMDAS is the order of operations for mathematical expressions involving more than one operation.

You solve in the following order

In this case our next step is deal with the exponents.

And by doing so, you will be multiplying -0.734 by 8

\(f(8)=\frac{750}{1 + 74e^{-5.872} }\)

And typical with exponents we would raise the number or variable given to the power of the exponent.

However we have a continuous number in this case, which is e.

What is e?

e is a mathematical constant approximately equal to 2.71828

We can now use a calculator to find what e (2.71....) is when raise to the exponent -5.872. Which results to 0.002817 (0.0028172332293320237716146943697).

When continuing to use numbers in calculators, don't use the rounded or shortened of the full number. Make sure to use the all of the numbers (given in the calculator) to its full extent to maintain accuracy.

\(f(8)=\frac{750}{1 + 74(0.002817) }\)

Now multiply 74 and 0.002817.... (use the full number to multiply (0.0028172332293320237716146943697)). The product is (0.2084752589705697590994873833578).

\(f(8)=\frac{750}{1 + 0.2084 }\)

Now lets add 1 + 0.2084.... and you get 1.2084

\(f(8)=\frac{750}{1.2084 }\)

Last you need to divide:

and you get that

f(8) = 620.6167

Now lets go back to the question, and we see that is says for you to round your answer to the nearest tenth.

so your final answer is:

f(8) = 620.6

Answer:

Answer is below

Step-by-step explanation:

2\log _5\left(x\right)+10\log _{10}\left(x\right)

Answer:

137,280 feet

Step-by-step explanation:

1 mile = 5280 feet

26 * 5280 = 137280

Best of Luck!

Answer:

A marathon is about 26 miles long. Which of these shows how to convert 26 miles to feet?

Step-by-step explanation:

Pretty sure thats the answer

Answer:

\((d)\ x = 4\)

Step-by-step explanation:

Given

\(f(x) = -x^2 + 4x + 12\)

\(g(x) = x + 8\)

Required

Find x such that: \(f(x) = g(x)\)

This gives:

\(-x^2 + 4x + 12 = x+8\)

Collect like terms

\(-x^2 + 4x -x + 12 -8=0\)

\(-x^2 + 3x +4 =0\)

Expand

\(-x^2 + 4x - x+4 =0\)

Factorize

\(x(x - 4) - 1(x-4) = 0\)

Factor out x - 1

\((x- 1)(x - 4)=0\)

Solve:

\(x =1\ or\ x = 4\)

The best way to describe the center of the data as represented on the line plot is the mean is 4 inches

To find the mean, first list out the numbers in the line plot to be :

0, 1, 2, 4, 5, 5, 5, 6, 6, 6

The mean can be found by the formula :

= Sum of all numbers / Number of data points

Sum of all numbers :

= 0 + 1 + 2 + 4 + 5 + 5 + 5+ 6 + 6 + 6

= 40

Number of data points = 10

The mean is:

= 40. / 10

= 4 inches

The median would be the average of the two numbers in the middle:

= ( 5 + 5 ) / 2

= 5

Find out more on center of data at https://brainly.com/question/29791983

#SPJ1

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

Learn more on Volume on https://brainly.com/question/27710307

#SPJ1

The conclusion is option A, we cannot reject the null hypothesis.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

The null hypothesis cannot  be rejected for the entire population if your sample is not sufficiently incompatible with it, which can be determined if your P value is small enough.

Therefore, we can not reject the hypothesis.

To learn more about the hypothesis;

https://brainly.com/question/29519577

#SPJ1