The function f(x) = 1/x-3 is defined for all real numbers except when x equals
1) 0
2) 3
3) --
4) 3
lol

The Function F(x) = 1/x-3 Is Defined For All Real Numbers Except When X Equals1) 02) 33) --4) 3lol

Answers

Answer 1

Answer:

except when x = 3

Step-by-step explanation:

f(x) = [tex]\frac{1}{x-3}[/tex]

the denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

x - 3 = 0 ⇒ x = 3 ← excluded value

f(x) is defined for all real numbers except when x = 3


Related Questions

Please help! Urgent!

Answers

Answer:

No

Step-by-step explanation:

To check if 2 expressions are equal to each other you can set them equal to each other. If, after you simplify, the equation is true, then they are equal. If it is not, then the expressions are not equal.

So, set up the equation

3(4x-2)=12x-2

Then, distribute the 3 to 4x and 2

12x-6=12x-2

From this point, you can probably tell that they will not be equal. But, if you wanted to continue, the next step would be to add 6 to both sides

12x=12x+4

Then, subtract 12x from both sides

0=4

The statement 0=4 is not true. This means that the expressions are not equal.

The points (-1, r) and (3, -4) lle on a line with slope - 2. Find the missing coordinate r.

Answers

Answer:

r=4

Step-by-step explanation:

Slope=change in y/change in x

r-(-4)/-1-3=-2

r+4=-2*-4

r=4

Explain the 'price effect' for normal 'substitutes' and 'complementary' goods.​

Answers

Answer:

When the price of a good that complements a good decrease, then the quantity demanded of one increases and the demand for the other increases. When the price of a substitute good decreases, the quantity demanded that good increases, but the demand for the good that it is being substituted for decreases.

Mo is thinking of a number. Eleven more than one third of the number is -1. Find Mo's number

Answers

Answer:

the letter is answer F

Step-by-step explanation:

Hope this is good

Ayuda por favor


x^(2)+2x-a^(2)-4a-3

Answers

Translating:

Please help

I believe you want me to factor it, so:

( x + 1/2 )^2 + ( a - 2 )^2 - 14/2

Answer:

[tex]x=a+1,\:x=-a-3[/tex]

Step-by-step explanation:

Remove parenthesis:

[tex]x^2+2x-a^2-4a-3=0[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-a^2-4a-3\right)}}{2\cdot \:1}[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \:2\left(a+2\right)}{2\cdot \:1}[/tex]

[tex]x_1=\frac{-2+2\left(a+2\right)}{2\cdot \:1},\:x_2=\frac{-2-2\left(a+2\right)}{2\cdot \:1}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=a+1,\:x=-a-3[/tex]

x+4=2
what is the qeasoun of this

Answers

[tex]x\\[/tex]Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

[tex]x+4=2[/tex]

we want to solve for [tex]x[/tex] so we will let [tex]x[/tex] alone and we will move [tex]4[/tex] to the other side of the equation with an opposite sign ( if it was positive then it will move to the other side with a negative sign, and the opposite is correct ):

[tex]x=2-4[/tex]

solve :

[tex]x=2-4 \\x=-2[/tex][tex]x=2-4[/tex]

[tex]x=-2[/tex]

now [tex]x[/tex] is equal to [tex]-2[/tex]

Answer:

x = -2

Step-by-step explanation:

x + 4 = 2

x + 4 - 4 = 2 - 4

x = - 2

Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
248 legs. Assuming there are no mutations in the animals, determine exactly how many ducks and
cows he saw. Let X represent the number of ducks and y represent the cows.
Total Equation:
Legs Equation:
How many ducks?
How many cows?

Answers

Answer:

y= 43

x= 37

Step-by-step explanation:

Legs: (43 x 4) + (37 x 2) = 248

Heads: 43 + 37 = 80

\frac{2^{2}}{2^{-7}}\times 2\normalsize?
2
−7

2
2


×2?

Answers

\frac{x^{\frac{5}{4}}y^{\frac{10}{3}}}{2}

Need help please 4x + Y = 1
, x + 2y = 9 rewrite equation into slope intercept form (y=mx+b)

Answers

Answer:

Given and Explained Below.

Step-by-step explanation:

slope intercept form: y = mx + b ............where m is slope and b is y-intercept

1st question:

4x + y = 1

y = 1 - 4x

y = -4x + 1

2nd question:

x + 2y = 9

2y = 9 -x

y = (-x + 9)/2

y = [tex]-\frac{1}{2}x + 4.5[/tex]

The complement in the following sentence is
My uncle drives a new car.
1. car
2. drives
3. new
Btw it's not new I tried but it said it was wrong, thanks!

Answers

Answer:

belve t would be drives

Step-by-step explanation:

Hope ths helps.

Triangle ABC has the given measures. Solve the triangle(s), if any exist.

A = 162°, a = 6.1, b = 4

How many triangle(s) can possibly be formed?

Answers

Answer: why is there two a’s?

Step-by-step explanation:

if those are the correct angles then 1 can be formed because every triangle always adds up to 180

Answer:

answer is 1

Step-by-step explanation:

I honestly made a lucky guess

What is the greatest perfect square that is less than 55

Answers

Answer:

[tex]\sqrt{49}[/tex]

Step-by-step explanation:

[tex]\sqrt{49} =7[/tex]

The square root of 49, which is the greatest perfect square that is less than 55.

A perfect square that is the nearest, greater perfect square to [tex]\sqrt{49}[/tex] is [tex]\sqrt{64}[/tex].

There are no other perfect squares in between [tex]\sqrt{49}[/tex] and [tex]\sqrt{64}[/tex] there are only decimals.

Therefore, [tex]\sqrt{49}[/tex] is your answer.

Proof:

[tex]7^{2} =49[/tex]

[tex]8^{2}=64[/tex]

Can u help me with this

Answers

Answer:

6

Step-by-step explanation:

each tomato=4

7-4=3 so each avocado is 3

5-3=2 so each lime is two

so 4+2=6

Answer:

6

Step-by-step explanation:

Tomato + tomato = 8  ⇒  tomato = 4

Avocado + tomato = 7 ⇒  Avocado = 7 - 4 = 3

Avocado + Lemon = 5  ⇒  Lemon = 5 - 3 = 2

Therefore, Lemon + tomato = 2 + 4 = 6

Find the equation of the straight line which cuts off intercepts -5 and 3 on X-axis and Y-axis respectively. ​

Answers

By using the concept of equation of a Straight line,we arrive to the conclusion that the equation of the straight line which cuts off intercepts -5 and 3 on X-axis and Y-axis respectively is 5x - 3y + 15 = 0.

Interception is the point where any line or curve crosses the axis.If the point of crossing line in x-axis then it is known as x-intercept .Similarly, if the point lies on y-axis is is named as y-intercept.

Here,according to the quesion:

x-intercept of the line is,a= -5

y-intercept of the line is,b= 3

The equation of the line here by formed with intercepts is:

[tex]x/a +y/b =1[/tex]

therefore x/(-5) + y/3 =1

                - 5x+3y = 15

                  5x -3y+ 15=0

So,the equation of the mention line is   5x -3y+ 15=0

To learn more about Straight line,

https://brainly.com/question/31693341

#8 please write in slope intercept form!

Answers

Answer:

we dont know 888484b484 94y48 84y

Step-by-step explanation:

we dont kbow 1298474add on to it and see rther but if not ok

Janica’s father is laying square tiles in her room. The length of the side of the tile is 1 foot. Janica’s room is 13 feet by 11 feet. How many tiles will her father use?

Answers

13x11= 143 tiles total

Please help me with this math problem!! NO LINKS PLEASE!! Will mark brainliest!! :)

Answers

Answer:

2

f(x)= -x + 1

2

g(x) = -x + 6x +5

2

h(x)= +ax + bx -c ( its form should be like that )

A swimming is filled at a constant rate.when half full the pool had 7500 litres poured into it.a) what fraction has still to be put into the pool?b)How much water will be needed when 5000 litres is already in the pool?

Answers

Answer:

A. 1/2 has still to be put in the pool, if we already have 7500 litres in the pool and that's half we need 7500 more which is another half.

B. if 7500 is half the amount that can fit in the pool it means that when the pool is full there are 15000 litres of liquid in the pool meaning that if there is barely 5000 litres we are barely 1/3 of the way done. but if the question is asking if we add 5000 to the 7500 already in the pool we will have 12500 out of the 15000 required to fill the pool, this fraction simplified would be 5/6

Mrs. Nguyen thought that she had $40 in her wallet. She actually has $48. What is her percent error? (Round to the nearest percent.)

Answers

Answer:

20%

Step-by-step explanation:

(final - initial)/initial

48-40)/40

8/40

1/5

or 20% error

Ms. Wilson bought 5 pencils for w dollars. Each pen costs 35 cents more than a pencil.

Enter an algebraic expression for each statement in terms of w in the boxes.

a) The cost, in dollars, of a pen. $

b) The number of pencils that Ms. Wilson can buy with 20 dollars.

Answers

Algebraic expression for each statement in terms of w would be:

Each pencil will cost: w/5.

A pen will cost: w/5 + 0.35

Number of pencils 20 dollars will buy = w/5 = 20/5 =4 pencils.

What is an Algebraic Expression?

Algebraic expression in mathematics is an expression that is made up of variables, constant, and mathematical symbols, which can be used to represent a statement.

Thus:

Let w represents the price for 5 pencils.

Each pencil will cost: w/5.

A pen will cost: w/5 + 0.35

a. cost in dollars for a pen = w/5 + 0.35

b. Number of pencils 20 dollars will buy = w/5 = 20/5 =4 pencils.

Learn more about algebraic expression on:

https://brainly.com/question/12470265

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The answer is A, “Obtuse triangle.”

Answer this question Please!! (50 point's)

Answers

Answer:

0.875

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator. Have a good day :)

what is 6x cubed divided by 2x

Answers

Answer: 2

Step by step: I start with a long-division set-up

Looking only at the leading terms, I divide 3x3 by 3x to get x2. This is what I put on top:

x^2 up on top

I multiply this x2 by the 3x + 1 to get 3x3 + 1x2, which I put underneath:

3x^3 + 3x put down underneath the dividend

Then I change the signs, add down, and remember to carry down the "+10x – 3" from the original dividend, giving me a new bottom line of –6x2 + 10x – 3:

(3x^3 – 5x^2 + 10x – 3) – (3x^3 + 1x^2) = –6x^2 + 10x – 3

Dividing the new leading term, –6x2, by the divisor's leading term, 3x, I get –2x, so I put this on top:

(–6x^2) ÷ (3x) = –2x, which goes on top

Then I multiply –2x by 3x + 1 to get –6x2 – 2x, which I put underneath. I change signs, add down, and remember to carry down the "–3 from the dividend:

(–6x^2 + 10x –3) – (–6x^2 – 2x) = 12x – 3, which is my new last line

My new last line is "12x – 3. Dividing the new leading term of 12x by the divisor's leading term of 3x, I get +4, which I put on top. I multiply 4 by 3x + 1 to get 12x + 4. I switch signs and add down. I end up with a remainder of –7:

(12x)/(3x) = 4, 4(3x + 1) = 12x + 4, (12x – 3) – (12x + 4) = –7

This division did not come out even. What am I supposed to do with the remainder?

Think back to when you did long division with plain numbers. Sometimes there would be a remainder; for instance, if you divide 132 by 5:

132 ÷ 5: 2 × 5 = 10; put 2 on top and 10 underneath; 13 – 10 = 3; new divisor is 32; 6 × 5 = 30; put 6 on top and 30 underneath; 32 – 30 = 2; answer is 26 with remainder 2

...there is a remainder of 2. Remember how you handled that? You made a fraction, putting the remainder on top of the divisor, and wrote the answer as "twenty-six and two-fifths":

\dfrac{132}{5} = 26\,\dfrac{2}{5} = 26 + \dfrac{2}{5}

5

132

=26

5

2

=26+

5

2

The first form, without the "plus" in the middle, is how "mixed numbers" are written, but the meaning of the mixed number is actually the form with the addition.

We do the same thing with polynomial division. Since the remainder in this case is –7 and since the divisor is 3x + 1, then I'll turn the remainder into a fraction (the remainder divided by the original divisor), and add this fraction to the polynomial across the top of the division symbol. Then my answer is this:

\mathbf{\color{purple}{\mathit{x}^2 - 2\mathit{x} + 4 + \dfrac{-7}{3\mathit{x} + 1}}}x

2

−2x+4+

3x+1

−7

Which of the following systems of equations has infinitely many solutions?

Answers

Answer:

C. y = x + 4, 2y = 2x + 8

Step-by-step explanation:

The system has infinitely many solutions if the two equations are equivalent.

We can analyze the given systems to see:

A)

2x + 7x + y = 6 ⇒ 9x + y = 6 ⇒ y = - 9x + 6y = 9x + 6

Different slopes, there is one solution

B)

y = 5x + 7y = 2x + 8

Different slopes, there is one solution

C)

y = x + 42y = 2x + 8 ⇒ y = x + 4

Same lines, infinitely many solutions

D)

7x - y = 10 ⇒ y = 7x - 10y = 6x + 8

Different slopes, there is one solution

Solution:

When two equations are equivalent, it is infinitely many solutions because the two lines overlap each other.

Option A - 2x + 7x + y = 6 and y = 9x + 6

=> (9x + y = 6) = (y = 9x + 6)=> (y = -9x + 6) ≠ (y = 9x + 6)

Option B - y = 5x + 7 and y = 2x + 8

=> (y = 5x + 7) ≠ (y = 2x + 8)

Option C - y = x + 4 and 2y = 2x + 8

=> (y = x + 4) = (2y = 2x + 8)=> (y = x + 4) = (y = 2x/2 + 8/2)=> (y = x + 4) = (y = x + 4)

Option D - 7x - y = 10 and y = 6x + 8

=> (7x - y = 10) = (y = 6x + 8)=> (-y = -7x + 10) = (y = 6x + 8)=> (y = 7x - 10) ≠ (y = -6x - 8)

Hence, Option C is correct.

HELP! Please? BRAINLiEST!!!!!!!!

Answers

Answer:

Subtract 7

Step-by-step explanation:

18 - 7 = 11

15 - 7 = 8

9 - 7 = 2

Hope this helps!

Answer:

subtract 7

Step-by-step explanation:

Ex: 18 to 11

18-7=11

Ex: 15 to 8

15-7=8

Sunshine had $29 and used $10,how much does she have left?

Answers

She has 19 dollars left explication: 29-10=19 hope it helps!

Answer:

Sunshine has $19 left after spending $10.

Step-by-step explanation:

29 - 10 = x

Subract 10 from 29 to solve for x.

x = 19

5/14 x 4/3 in fraction form

Answers

Answer:

the correct answer is 1 29/42

Step-by-step explanation:

Answer:

10/21

Step-by-step explanation:

5/14×4/3 =

5 × 4 1

4 × 3=

 20/42

 20 ÷ 2

42 ÷ 2

= 10/21

PLEASE HELP LAST QUESTION OF THE DAY *MAYBE* I WILL BE GIVING 50 POINTS TO EXPLAINED ANSWERS​

Answers

Answer:

Table and graph attached

Step-by-step explanation:

Hope this helps :)

Solve the inequality and graph the solution. – 8g–13≥3

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: g ≤ −2

Step-by-step explanation:

helpp.... -_-llllllllllll

Answers

Answer:

I believe that it is 812 tiles.

Step-by-step explanation:

Answer:

812 tiles

Step-by-step explanation:

28 feet by 29 feet is 812, each tile is 1 square foot. This means that there are 812 tiles.

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