if f(x) = (x+1)^-1 and g(x) = x-2, what is the domain of f(x) divided by g(x)

Answers

Answer 1
f(x)=(x+1)^-1

f(x)=1/(x+1)  so 

f(x)/g(x) is

1/[(x+1)(x-2)]

Since division by zero approaches infinity, it is not a real value, and is said to be undefined.  Division by zero is "not allowed", which just really means that it does not have a real value.  So in this case x cannot equal -1 or 2 so the domain is:

All real numbers except -1 or 2...which can be expressed as:

(-oo,-1),(-1,2),(2,+oo) 

Related Questions

$5.50 markup 75% what is the selling prize

Answers

To calculate the selling price with a 75% markup on a $5.50 item, multiply the original cost by 0.75 to find the markup amount and then add it to the original cost. The final selling price is $9.63.

Calculating the Selling Price with a Markup

To determine the selling price of an item with a 75% markup, follow these steps:

Determine the original cost of the item, which is $5.50 in this case.Calculate the markup amount by multiplying the original cost by the markup percentage. Express the percentage as a decimal:
Markup Amount = Original Cost × Markup Percentage
Markup Amount = $5.50 × 0.75 = $4.125Add the markup amount to the original cost to get the selling price:
Selling Price = Original Cost + Markup Amount
Selling Price = $5.50 + $4.125 = $9.625Optionally, round the selling price to two decimal places (if necessary):
Selling Price ≈ $9.63

Therefore, the selling price for the item with a 75% markup on an original cost of $5.50 is $9.63.

NEED ASAP


Which linear inequality is represented by the graph?

y ≤ 1/3x − 1
y ≥ 1/3x − 1
y < 3x − 1
y > 3x − 1

Answers

The slope is 1/3. We know this because the x value increases by 3 each time the y value increases by 1. Slope is always rise over run. It is more than or equal to because the shaded part is above the line.
Answer:B

Answer:

[tex]y\geq \frac{1}{3}x -1[/tex]

Step-by-step explanation:

To find linear inequality, first we find the equation of the line.

LEts pick two points (3,0)  and (0,-1)

To get equation of a line [tex]y=mx+b[/tex], use slope formula to find slope m

[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{0+1}{3-0} =\frac{1}{3}[/tex]

y intercept is (0,-1) . so b=-1

The equation of the line becomes

[tex]y=\frac{1}{3}x -1[/tex]

now we look at the shaded region.

the graph is shaded at the top and also we have solid line . so we use >= symbol

[tex]y\geq \frac{1}{3}x -1[/tex]



The formula F=9/5(K−273.15)+32
converts a temperature from kelvin K to degrees Fahrenheit F

a. Solve the formula for K

Answers

Just subtract 32, then divide by 9/5 (or multiply by the reciprical) then add 273.15.
K=5/9(F-32)+273.15

The formula for K in terms of F is [tex]K = \frac{5}{9} (F - 32) + 273.15[/tex]

The given expression:

[tex]F = \frac{9}{5} (K - 273.15) + 32[/tex]

To find:

the formula for K

The formula for K is obtained by making K the subject of the formula as shown below;

[tex]F = \frac{9}{5} (K - 273.15) + 32\\\\subtract \ 32 \ from \ both \ sides \ of \ the \ equation\\\\F - 32 = \frac{9}{5} (K - 273.15)\\\\multiply \ both\ sides \ by \ 5\\\\5(F - 32) = 9(K - 273.15)\\\\divide \ both\ sides \ by \ 9\\\\\frac{5}{9} (F - 32) = K - 273.15\\\\add \ 273.15 \ to \ both\ sides \ of \ the \ equation\\\\\frac{5}{9} (F - 32) + 273.15 = K\\\\[/tex]

Thus, the formula for K in terms of F is [tex]K = \frac{5}{9} (F - 32) + 273.15[/tex]

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Lou has 3 over 4 of an hour to do his math homework, play video games and help with dinner. If he splits his time equally between the three activities, how much time will he spend on each?

_____ of an hour


Answers

3/4 divided by 3 

3/4 *1/3 = 3/12 = 1/4


Use the Remainder Theorem to determine which of the following is a factor of p(x) = x 3 - 2x 2 - 5x 6.

Answers

Inverse of x3-2x2-5x6: -x\31

Answer:

x-3

Step-by-step explanation:

Simplify 1/x-10 divided by 9x/x^2-9x-10

Answers

In fractional form, I think this is written as

[tex] \frac{1}{x-10} / \frac{9x}{ x^{2} -9x-10} [/tex]

When dividing, the first term is the dividend, the second term is the divisor and the answer is the quotient. When you divide fractions, you multiply the dividend with the reciprocal of the divisor. In this case

[tex] \frac{1}{x-10} * \frac{x^{2} -9x-10}{9x } [/tex]

The answer is 

[tex] \frac{ x^{2} -9x-10}{9 x^{2} -90x} [/tex]

Furthermore, we can simplify the terms through factoring, The numerator could be factored into (x+1)(x-10). The denominator could be factored to 9x(x-10). Since the term (x-10) is common, you can cancel them to get to the final answer which is

(x+1)/9x

Answer:(x+1)/9x

Step-by-step explanation: Hope this helps

What is the approximate difference in the amount of wax needed to make a candle from each of these molds? use π = 3.14. 16.75 cubic inches 20.93 cubic inches 24.25 cubic inches 33.49 cubic inches?

Answers

what is the question ?????

What is the approximate difference in the amount of wax needed to make a candle from each of these molds? use π = 3.14. 16.75 cubic inches 20.93 cubic inches 24.25 cubic inches 33.49 cubic inches? what are we taking the diffference from

what is x
3x = 0.5x2

Answers

Assuming that x2=x^2, we can multiply both sides by 2 (separating x^2) to get 6x=x^2. Next, we can divide both sides by x to get 6=x (we do this to separate x)

At the movie theatre, child admission is $6.20 and adult admission is $9.80 . On Monday, twice as many adult tickets as child tickets were sold, for a total sales of $593.40 . How many child tickets were sold that day?

Answers

Let a and c be the number of adult and children tickets sold respectively.

a=2c

6.2c+9.8a=593.4, using a from above in this equation gives you:

6.2c+9.8(2c)=593.4  perform indicated multiplication on left side

6.2c+19.6c=593.4  combine like terms on left side

25.8c=593.4  divide both sides by 25.8

c=23

So 23 child tickers were sold that day.

You pick 3 digits (0-9) at random without replacement, and write them in the order picked. what is the probability that you have written the first 3 digits of your phone number? assume there are no repeats of digits in your phone number.

Answers

There are 10*9*8 = 720 possibilities and only one case that would be the 3 digits of the phone number:

P = 1/720

The required probability of the numbers picked of the first three digits of the mobile number is 0.037.

Given that,
Pick 3 digits (0-9) at random without replacement, and write them in the order picked. what is the probability that you have written the first 3 digits of your phone number? assume there are no repeats of digits in your phone number is to be evaluated.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
From 0 to 9 we have 10 numbers,
For the number to be picked,
There must be no repetition,
So the number of ways to 1 pick 1st number is 10,
The number of ways to pick 2nd number is 9
The number of ways to pick 3rd number is 8
Total number of ways = 10 + 9 + 8 = 27
Now probability, that this three-digit  would be a mobile number,

= 1 / 27
= 0.037

Thus, the required probability of the numbers picked of the first three digits of the mobile number is 0.037.

Learn more about probability here:

brainly.com/question/14290572

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Raina wants to paint the ceiling of her restaurant. The ceiling is in the shape of a square. Its side lengths are 55 feet. Suppose each can of paint will cover 275 square feet. How many cans will she need to paint the ceiling?

Answers

area of the ceiling = 55 x 55 = 3025 square feet

 3025/275 = 11 cans

Evaluate the expression m + o for m = 9 and o = 7.

Answers

m = 9

o = 7

m + 0 = 9 + 7 = 16

Hence, the answer is 16.
16 is the answer to your question

Melinda has 1 seashell, and Jun has 9 seashells. If Melinda and Jun put their seashells together and then divide them up equally, how many will each one of them have? 3 5 8 10

Answers

5 seashells , because 9 + 1 = 10 and if you were to give them an equally amount of seashells it would be 5 if you split 10 in half . SO the answer would be 5 . 

Answer:

B.) 5

Step-by-step explanation:

Just did this :3

Two pools are being filled with water. To start, the first pool contains 922 liters of water and the second pool contains 1300 liters of water. Water is being added to the first pool at a rate of 33.75 liters per minute. Water is being added to the second pool at a rate of 20.25 liters per minute.
After how many minutes will the two pools have the same amount of water?
How much water will be in each pool when they have the same amount?

Answers

Final answer:

After 28 minutes, both pools will have the same amount of water, which will be 1653 liters in each pool.

Explanation:

To find out after how many minutes the two pools will have the same amount of water, we can set up an equation where the volume of water in the first pool plus the water added over time equals the volume of water in the second pool plus the water added to it over the same period.

Let x represent the number of minutes after which both pools will have the same amount of water. The equation can be expressed as:

922 + 33.75x = 1300 + 20.25x

To solve for x, we subtract 20.25x from both sides:

922 + 13.5x = 1300

Now, subtract 922 from both sides to isolate the term with x:

13.5x = 378

Divide both sides by 13.5 to solve for x:

x = 28

So, it will take 28 minutes for both pools to have the same amount of water.

To calculate how much water will be in each pool at that time, we can multiply the rate by the number of minutes and add the initial amount of water for either pool:

For the first pool: 922 + (33.75 * 28) = 1653 liters

For the second pool: 1300 + (20.25 * 28) = 1653 liters

Therefore, after 28 minutes, each pool will contain 1653 liters of water.

What is the point-slope equation of a line with slope -4 that contains the point (-2, 7)?

A. y + 7 = -4(x + 2)
B. y + 7 = -4(x - 2)
C. y - 7 = -4(x - 2)
D. y - 7 = -4(x + 2)

Answers

point slope form is
y - y1 = m(x - x1)

m = -4
(-2, 7)

y - 7 = -4(x + 2)

answer is D

You need to buy 5 notebooks for your classes at school. Each notebook costs $2.79. What is the total costs of 5 notebooks Before tax?

Answers

multiply 2.79 x 5

2.79*5 = 13.95 before tax

The drawing below is an example of what kind of perspective?

One-point
Two-point
Three-point
Four-point
Five-point

Answers

Answer:

  Two-point

Step-by-step explanation:

"Orthogonal" lines intersect the horizon at two points. This is an example of 2-point perspective.

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

Which model best represents the data?

A.) y = 47(1.191)x

B.) y = 34(1.204)x

C.) y = 26.9x – 1.3

D.) y = 27x – 4

Answers

Answer:

Hence, the model that best represents the data is:

[tex]y=26.9x-1.3[/tex]

Step-by-step explanation:

We are given a table that  shows the estimated number of lines of code written by computer programmers per hour when x people are working.

We are asked to find which model best represents the data?

So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:

We are given 4 functions as:

A)

[tex]y = 47(1.191)^x[/tex]

B)

[tex]y=34\times (1.204)^x[/tex]

C)

[tex]y=26.9x-1.3[/tex]

D)

[tex]y=27x-4[/tex]

We make the table of these values at different values of x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

Which is the equation of the trend line that can be generated by using the data from year 1 and 5?

Answers

answer is
y = 6.75x + 81.25

you can double check by plug in x values (year) into the equation to find out y values (# of participants)

For those looking for the letter the answer is C

Your welcome :)

convert this percent into decimal form
3
82-- % same as 82 3/4%
4

Answers

82% = 0.82

823/4% = 0.8275

If a circle has a diameter of 30 meters, which expression gives its area in square meters?

A.15^2 x π
B. 30 x π
C. 30^2 x π
D. 15 x π

Answers

Area of a circle is given by [tex] \pi r^{2} [/tex] where [tex]r[/tex] is the radius

Radius of a circle is half of the diameter

We have the diameter 30 meters, so the radius is 30÷2=15 meters

Area of the circle = [tex] \pi (15)^{2} [/tex]

Note: The option given doesn't show the [tex] \pi [/tex] symbol but it seems like the correct answer is option A

Answer:

A.15^2 x π (APEX)

Step-by-step explanation:

Simplify the expression

Answers

The answer is D, I'm 95% sure, double check just in case
[tex]4 \sqrt{6}+5 \sqrt{6}=(4+5) \sqrt{6}=9 \sqrt{6} [/tex]

D.

If tan theta = -4/3 in quadrant II, what is cos theta?

A. -4/5

B. 3/5

C. 4/5

D. -3/5

Answers

[tex]\bf tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad cos(\theta)=\cfrac{adjacent}{hypotenuse}\\\\ -------------------------------\\\\ tan(\theta )=-\cfrac{4}{3}\cfrac{\leftarrow opposite}{\leftarrow adjacent}[/tex]

notice, the tangent has a negative sign, for that to happen, either the numerator or denominator must be negative, who may that be? well, we know the angle is in the II quadrant, on the II quadrant, the cosine or x-coordinate (adjacent side) is negative, so, is the adjacent.

that means, the opposite side is 4 and the adjacent one is -3

well, let's find the hypotenuse

[tex]\bf \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-3)^2+4^2}\implies c=\sqrt{25}\implies \boxed{c=5}\\\\ -------------------------------\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse}\qquad \qquad cos(\theta )=\cfrac{-3}{5}[/tex]

bear in mind that, the square root will give use +/- roots, however, in the case of the hypotenuse, is just the radius unit, thus is never negative.

Answer:


The answer is:

D. -3/5

He measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. what is the measure of the smallest angle?

Answers

In a triangle, the three interior angles always add to 180°

4x + 5x + 6x = 180
15x = 180
x = 180/15
x = 12

the measure of the smallest angle = 4x = 4*12 = 48°

What are the roots of the equation y=x^2 -5x-24

Answers

Factor
(x-8)(x+3)

Check:
-8+3=-5
-8*3=-24

Use ZPP
x-8=0
x=8

x+3=0
x=-3

Final answer: x=-3, x=8

If i want to be a real boy whats the equation?

Answers

15²=225
225-(7.5²•3.14)=48.375 or 48.38 :)

Answer: 15²=225

225-(7.5²•3.14)=48.375 or to the nearest form 48.38.

Step-by-step explanation: In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".

How many ways are there to select 7 countries in the united nations to serve on a council if 1 is selected from a block of 56, 3 are selected from a block of 63 and 3 are selected from the remaining 70 countries?

Answers

[tex]56\cdot63C3\cdot70C3=\\\\ 56\cdot\dfrac{63!}{3!60!}\cdot\dfrac{70!}{3!67!}=\\\\ 56\cdot\dfrac{61\cdot62\cdot63}{2\cdot3}\cdot\dfrac{68\cdot69\cdot70}{2\cdot3}=\\\\ 121,731,687,840 [/tex]

Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim t → −2 t4 − 3 2t2 − 3t + 3

Answers

Final answer:

To evaluate the limit of the given function, substitute the value that t is approaching into the expression. In this case, t is approaching -2. Plugging -2 into the function, we get 0.7647.

Explanation:

To evaluate the limit of the given function, we can substitute the value that t is approaching into the expression. In this case, t is approaching -2. Plugging -2 into the function, we get:

lim t → -2 t^4 - 3 / 2t^2 - 3t + 3 = (-2)^4 - 3 / 2(-2)^2 - 3(-2) + 3 = 16 - 3 / 8 + 6 + 3 = 13 / 17 = 0.7647

Therefore, the limit is approximately 0.7647.

The coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1).
Find the midpoint of FJ
A) (0,4)
B) (1, -2)
C) (-4, 0)
D) (5, 2)
This is a question from my math chapter 20: Figures in the Coordinate Plane

Answers

i think that is C i had that one but i forget

hope that help

BMK

Answer:

B. [tex](1,-2)[/tex]  

Step-by-step explanation:  

We have been given that coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1). We are asked to find the coordinates of mid-point of segment FJ.

We will use mid-point formula to solve our given problem.

[tex]\text{Mid-point}=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

Upon substituting the coordinates of points F and J in mid-point formula we will get,

[tex]\text{Mid-point}=\frac{-5+7}{2},\frac{-3+-1}{2}[/tex]

[tex]\text{Mid-point}=\frac{2}{2},\frac{-4}{2}[/tex]

[tex]\text{Mid-point}=1,-2[/tex]

Therefore, the coordinates of mid-point of segment FJ are [tex](1,-2)[/tex] and option B is the correct choice.

The slope of a line running through points (2, 3) and (1, 7) is:

4.
-4.
2.
-2.

Answers

You are going to use the equation y2-y1/x2-x1, and you will get negtive 4
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