How to find domain of (1/x-3)(x^2-x-12)

Answers

Answer 1

Set denominator to zero and solve for x.

x^2 - x - 12 = 0

Factor.

(x - 4)(x + 3) = 0

Solve each factor for x.

x - 4 = 0

x = 4

x + 3 = 0

x = -3

Answer:

The domain is ALL REAL NUMBERS except for x = 4 and x = -3.


Related Questions

Sebastian said that if a number is a perfect square. then the number is even. Provide two examples that show that the statement is false.​

Answers

Answer:

Below!

Step-by-step explanation:

You can take 25 as one example and 49 as the second example.

Let's factorize.

=> 25 = 5 x 5 = (Which is odd)=> 49 = 7 x 7 = (Which is odd)Conclusion:

Hence, the statement is not true.

Hoped this helped.

Helppp for a math exammm

Answers

Answer:

d.

Step-by-step explanation:

5-x=3
Work out the value of 3x2

Answers

Answer:

No

Step-by-step explanation:

5-X=3

X=5+3

X=8

5-8=3

The equation of a line is given below.
2x + 5y = -5
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

Answer:

y=-2/5x-1

Step-by-step explanation:

2x+5y=-5

Step 1: Add-2x to both sides.

2x+5y=-5

+-2 +-2

5y=-2x-5

Step 2: Divide both sides by 5.

5y ÷ 5 = -2x-5÷5

y=-2/5x-1

5x + 3y = 41
2x + 3y = 20
show me step by steps how to do this

Answers

Answer:

The answers are:

x = 7y = 2Step-by-step explanation:

5x + 3y = 41

2x + 3y = 20

=> 5x + 3y = 41

           -2x - 3y = -20

=> 3x = 21=> x = 7

=> 5(7) + 3y = 41

=> 35 + 3y = 41

=> 3y = 41 - 35

=> 3y = 6

=> y = 2

Conclusion:

Therefore, the answers are:

x = 7y = 2

Hoped this helped

[tex]-BrainiacUser1357-[/tex]

Answer:

Step-by-step explanation:

It looks like you need to solve this system of equations.

That means we need to find a value for x and a value for y that makes both equations true.

Since both equations have a 3y in them, this system is ready to use a method called "elimination method"

Since the x terms are lined up, and the y terms are lined up, the equal signs are lined up, and the constants are lined up...you can subtract the bottom equation from the top equation.

5x + 3y = 41

2x + 3y = 20

Subtract and you will get

3x + 0y =21

We don't need to write that 0y, because it is 0.

3x = 21, now divide by 3

x = 7, almost finished!

Use x = 7 in either of the original equations to find y.

5x + 3y = 41 and x = 7

5•7+ 3y = 41

35 + 3y = 41

-35 -35

3y =6

y = 2

So the solution is x=7 and y=2

That can also be written as an ordered pair (7, 2)

Find the inverse of the function.
f(x) = x^3 - 3

Answers

Answer:[tex]f{(x)} = {x}^{3} - 3 \\ y = {x}^{3} - 3 \\ x = {y}^{3} - 3 \\ x + 3 = {y}^{3} \\ \sqrt[3]{x + 3} = y \\ {f(x)}^{ - 1} = \sqrt[3]{x + 3} [/tex]

SOMEONE PLEASE HELP QUICKLY

A commercial claims that 8 out of 10 dentists recommend a certain brand of toothpaste. To test this claim, a random sample of 85 dentists is obtained. Of these 85 dentists, 73 indicated that they recommend that brand of toothpaste. Using a significance level of 5%, test the claim to see if the proportion of dentists who recommend this toothpaste is not 8 of 10.



a) State the null and alternative hypotheses

b) State the p value

c) Make a conclusion about the claim

Answers

Answer:

rgb

Step-by-step explanation:

wrtbtrb

a) The null hypothesis is: p = 0.8 and the alternative hypothesis is p ≠ 0.8.

b) p-value is 0.0838

c) We accept the null hypothesis

What are null and alternative hypothesis?

The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.

What is p-value?

A p-value is a statistical measurement used to validate a hypothesis against observed data.

a. Let p be the proportion of 8 out of 10 dentists.

The null hypothesis is

[tex]H_0 : p=\frac{8}{10}=0.8[/tex]

The alternative hypothesis is

[tex]H_1:p\neq 0.8[/tex]

b. The sample proportion [tex]\hat p=\frac{73}{85}\approx 0.86\\[/tex]

Z-score, the test statistic is

[tex]Z=\frac{\hat p-p}{\frac{\sqrt{p(1-p)}}{n} } \\\\Z=\frac{0.86-0.8}{\frac{\sqrt{0.8(1-0.8)}}{85} }\\ \\Z=\frac{0.06}{0.043386}\\ \\Z=1.3829\\\\Z\approx 1.38[/tex]

P(Z > 1.38) = 1 - P(Z < 1.38)

∴ P(Z > 1.38) = 1 - 0.9162 = 0.0838

p-value is 0.0838

c. Since the p-value is greater than the level of significance α=0.05, we reject the alternative hypothesis and accept the null hypothesis

For more information on null hypothesis: https://brainly.com/question/19263925

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special right triangles, solve for x, y and z

Answers

Answer:

x=14

y=27

z=43

Step-by-step explanation:

hope it helps!

The initial balance of a savings account was $275 Adter which transactions will the balance of the savings account be the same as the initial balance?

A. a withdrawal or $232 followed by a deposit of $132

B. a deposit of $278 followed by a withdrawal of $278

C. a withdrawal of $115 followed by a deposit of $312

D. a deposit of $205 followed by a withdrawal of $317

Answers

The transactions that would leave the initial balance the same are a deposit of $278 followed by a withdrawal of $278.

The transactions that would leave the initial balance the same are transactions that net to zero. Withdrawals reduce the balance in the account. Deposits increase the value of the balance in the account.

Option A: Net balance

$275 - $232 + 132 = $175

Option B: Net balance

$275 + $278 - $278 = $275

Option C: Net balance

$275 - $115 + $312 = $472

Option D: Net balance

$275 + $205 - $317 = $163

To learn more about subtraction, please check: https://brainly.com/question/854115

Help me pleaseeeeeeeeeee

Answers

Carry learning!

Stay safe!

Functions
Acellus
Find the equation of this line.
[?]
-x+ []
y =
Simplify the fractional part.

Answers

Answer:

y = -2/5 x +1

Step-by-step explanation:

We know two points on the line (-5,3) and ( 5,-1)

We  can find the slope using the slope formula

m = ( y2-y1)/ (x2-x1)

m = ( -1 -3)/( 5- -5)

   = (-1-3)/ (-5+5)

  -4/10

 =-2/5

Using the slope intercept form of the the lint

y = mx+b  where m is the slope and b is the y intercept

y = -2/5 x+b

Using one of the point and substitute in for x and y

3 = -2/5 (-5) +b

3 = 2 +b

1 = b

y = -2/5 x +1

The equation of the line passes through the points (0, 1) and (5, -1) will be;

[tex]y = - \dfrac{2}{5}x + 1[/tex]

The equation of a line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, 1) and (5, -1).

Now,

Since, The equation of line passes through the points (0, 1) and (5, -1).

So, We need to find the slope of the line.

Hence, the Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - 1) / (5 - 0)

m = - 2 / 5

Thus, The equation of the line with slope - 2/5 is,

[tex]y - 1 = - \dfrac{2}{5} (x - 0)[/tex]

[tex]y - 1 = - \dfrac{2}{5}x[/tex]

[tex]y = - \dfrac{2}{5}x + 1[/tex]

Therefore, The equation of a line is [tex]y = - \dfrac{2}{5}x + 1[/tex].

To learn more about the equation of line visit:

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Hey! I really need help with this question:

Giving out brainiest to best answer and 100 points. <3

Please help.

Question: How do I memorize words faster and better? And- how do I study faster and quicker?

Answers

Answer:

Idea one, if you want to memorize words fast and better, you can put part of it in your password of something and then try to log in to whatever you set the password on everyday. Idea two, if you want to study fast and quicker you need to spend big half of the day learning what you need to learn and reading books.

Hope this helps!

The best way I could explain this is that everyone has there own pace at doing things. Like me I learn very fast but I have to read over something to memorize them.

The only way I could say is that maybe take more notes and go over them everyday. It helped me a lot when I wanted to learn more and get better grades. Also another way is taking you time at first and when you get use to it you'll be able to read faster learn quicker but you have to go slow first to go fast.

graph y + 2 = -3/4 (x+4)

Answers

Answer:

Use a website called desmos and type in y=-3/4(x+4)-2

Step-by-step explanation:

1) isolate y by subtracting 2 on both sides

y=-3/4(x+4)-2

Answer:

Clue: two points : (0,-5)   ( 4 , -8)

Step-by-step explanation:

Look at the graph.

Function h gives the height of a tennis ball, in feet, t seconds after it is tossed straight up in the air. The equation h(t) = -16t2 +12t+10 defines function h

Answers

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output
See picture attached

Find an equation in the form y=ax^2+bx+c for the parabola passing through the points.
(3,25) (1,3) (-5,-15)
Thanks for the help! :)

Answers

Answer: [tex]x^2+7.0x-5.0x[/tex]

Step-by-step explanation:

Charlie surveyed his class to determine favorite colors. By examining his results in this chart, which numbered choice represents the fraction of the class that
Color
Number of
Students
red
9
white
4
blue
10
green
8
listed blue as their favorite color.

Answers

10/31 listed blue as their favorite color

2. Calculate an expression for dy/dx and d2y/dx2 in terms of t if the parametric pair is given as tan(x) = e^at and e^y = 1 + e^2at

Hint: Turn tan(x) = e^at and e^y = 1 + e^2at into expressions suited to your calculation.​

Answers

I assume a is a constant. If tan(x) = exp(at) (where exp(x) means eˣ), then differentiating both sides with respect to t gives

sec²(x) dx/dt = a exp(at)

Recall that

sec²(x) = 1 + tan²(x)

Then we have

(1 + tan²(x)) dx/dt = a exp(at)

(1 + exp(2at)) dx/dt = a exp(at)

dx/dt = a exp(at) / (1 + exp(2at))

If exp(y) = 1 + exp(2at), then differentiating with respect to t yields

exp(y) dy/dt = 2a exp(2at)

(1 + exp(2at)) dy/dt = 2a exp(2at)

dy/dt = 2a exp(2at) / (1 + exp(2at))

By the chain rule,

dy/dx = dy/dt • dt/dx = (dy/dt) / (dx/dt)

Then the first derivative is

dy/dx = (2a exp(2at) / (1 + exp(2at))) / (a exp(at) / (1 + exp(2at))

dy/dx = (2a exp(2at)) / (a exp(at))

dy/dx = 2 exp(at)

Since dy/dx is a function of t, if we differentiate dy/dx with respect to x, we have to use the chain rule again. Suppose we write

dy/dx = f(t)

By the chain rule, the derivative is

d²y/dx² = df/dx

d²y/dx² = df/dt • dt/dx

d²y/dx² = (df/dt) / (dx/dt)

d²y/dx² = 2a exp(at) / (a exp(at) / (1 + exp(2at)))

d²y/dx² = 2 (1 + exp(2at))

It took Erika 8 games to score 30 points. At that rate, how many games will it take her to score 45 points?

Answers

Answer : 12 games

Step - by - step explanation :

In - order to find out how many games it will take Erika to get 45 points we need to find out how many points she normally gets in 1 game . . .

What is 30 divided by 8 ? 3.75 ( So Erika gets 3.75 points per game ! )

What is 45 divided by 3.75 ? 12 ( So Erika had to play 12 games in - order to get 45 points ! )

Help help help help math math

Answers

Step-by-step explanation:

Relation

Hope it correct!!!

work out the volume of the cone giving your answer to 3 significant figures 7cm 24cm 25cm

Answers

Answer:

1231.50432021 cm³

Step-by-step explanation:

Use the formula:

[tex]\frac{1}{3} \pi r^{2} h[/tex]

And replace known values:

[tex]\frac{1}{3} \pi (7^{2})(24)[/tex]

Aaaand simplify:

[tex]\frac{1}{3}*1176 \pi[/tex]

Which gives approximately:

[tex]1231.50432021[/tex]

And don't forget to put the unit (cm³)!

Answer:

1230

Step-by-step explanation:

1/3*pi*7^2*24

1/3*pi*49*24

=1230

Compare the linear equation 2x-y=4 to the function graphed below.

Answers

Answer:

The answer is be the intercept

QUESTION 18 PLEASE HELP ME ASAPP

Answers

Answer:

constant over time

Step-by-step explanation: for every 3 cookies the cost goes up 2 dollars

Hi can someone please send me answers?

Answers

Answer:

61 campers will focus on hockey.

Step-by-step explanation:

86+53=139

139-200=61

POINTS AND BRAINLIEST IF YOU GAVE ME THIS CORRECT!!!
To rent a moving truck for the day, it costs, $33 plus $1 for each mile driven.
a. Write an expression for the cost to rent the truck.

b. You drive the truck 300 miles. How much do you pay?

Answers

Answer:

a) x + 33

Step-by-step explanation:

x is the number of miles driven. Therefore, the answer for b is $333

Because it is the miles driven plus 33

Which inequality represents the phrase below? a number more than 72 A. x < 72 B. x > 72 C. x > 71 D. x = 72

Answers

Answer:

the answer is. C.i hope this helps sorry if im wrong

Robin is making floral arrangements for a party. Each arrangement has 8 roses and 10 carnations. Each carnation costs $0.75 and each rose costs $1.85. Which expression represents the total cost for one arrangement? A 8 + 10 + (0.75 + 1.85) B (8 + 0.75)(10 + 1.85) C 10(0.75) + 8(1.85) D 8(0.75) + 10(1.85)

Answers

The correct answer is C

mayam bought potato chips to school she share 1/4 of her chips with friends and 1/8 of her chips with her teacher how many has she shared in all?

Answers

[tex]\huge\underline\mathtt\colorbox{cyan}{3/8}[/tex]

[tex]\huge\mathsf\colorbox{white}{}[/tex]

Step-by-step explanation :

Total shared part:

1/4 + 1/8

Taking LCM and adding:

2/8+1/8

Adding gives:

3/8

Kaitlyn drove 360 miles in 9 hours. If she continues driving at the same speed, how far will she have driven in 11 hours?

Answers

Answer:

440 miles

Step-by-step explanation:

First, you need to calculate the number of miles per hour. To do this, take the total number of miles traveled and divide it by the number of hours it took. 360/9=40. This means Kaitlyn drove at 40 miles per hour. Then, we need to multiply 40 by 11 to figure out the number of miles she drove in 11 hours because her speed stayed the same. 40*11=440. This means Kaitlyn will have driven 440 miles in 11 hours.

Hope this helps! :)

Please hurry!! This assignment is almost due!!

Answers

Answer:

x = 23

Step-by-step explanation:

8x-27 = 7x-4

8x-7x = -4+27

x = 23

I believe it would be 23

The cylindrical container shown below can be completely filled with 24 litres of water. The base area of the container is 600 cm2. What is the height of the container? PLEASE FAST!!​

Answers

Answer:

40cm

Step-by-step explanation:

volume of a cylinder= πr²h

V=24litres, Area=πr²=600cm², height=?

converting litres to cm³

1litre=1000cm³

24litres= 24×1000

=24000cm³

24000=600× h

h= 24000/600

= 40cm

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