Which function has a domain of all real numbers?

[tex]\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}[/tex]

x = -1

Step-by-step explanation:

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

Taking LCM

[tex] \sf \hookrightarrow \frac{x(x + 1) + (x - 1)(x - 2)}{(x - 2)(x + 1)} = - 1 \\ \\ \sf \hookrightarrow \frac{ {x}^{2} + x + {x}^{2} - 3x + 2 }{ {x}^{2} - x - 2} = - 1 \\ \\ \sf \hookrightarrow \frac{2 {x}^{2} - 2x + 2 }{ {x}^{2} - x - 2 } = - 1[/tex]

Cross multiplying

[tex] \sf \hookrightarrow 2 {x}^{2} - 2x + 2 = - 1( {x}^{2} - x -2) \\ \\ \sf \hookrightarrow 2 {x}^{2} - 2x + \cancel2 = - {x}^{2} + x + \cancel2 \\ \\ \sf \hookrightarrow 3 {x}^{2} - 3x = 0[/tex]

Taking 3 common

[tex] \sf \hookrightarrow {x}^{2} - x = 0 \\ \\ \sf \hookrightarrow x(x - 1) = 0 \\ \\ \sf \hookrightarrow x - 1 = 0 \\ \\ \\ \green{\boxed{ \hookrightarrow x = 1}}[/tex]

Taking x as 1

[tex] \sf \implies\frac{x}{x - 2} + \frac{x - 1}{x + 1} = - 1 \\ \\ \sf \implies \frac{1}{1 - 2} + \frac{1 - 1}{1 + 1} = - 1 \\ \\ \sf \implies - 1 + 0 = - 1 \\ \\ \sf \implies - 1 = - 1[/tex]

Answer: 30.5

Step-by-step explanation:

Answer:

35 minutes

Step-by-step explanation:

The total time he walked for last week is

10 * 5 = 50 minutes

Subtract 225 by 50 to find the total time he spend for swimming

225-50 = 175 minutes

Divide 175 by 5 to find the time taken for swimming on each day

175/5 = 35 minutes

Answer:

#3 : x = 12

#4 : x = 6

Step-by-step explanation:

Question 3:-

Question 4:-

Answer:

  75582

Step-by-step explanation:

The order of the correct problems does not matter, so the number of ways 8 of 19 problems can be correct is the number of combinations of 19 things taken 8 at a time:

  C(n, k) = n!/(k!(n-k)!)

  C(19, 8) = 19!/(8!(11!)) = 75582

Answer:

are a, b, and c the options or are they different questions?

Answer:

So, 5, 20, 45, 80,...5N2

Step-by-step explanation:

Divide the sequence by 5 and the answer becomes very obvious:

EX: 1, 4, 9, 16,...N2

Answer:

[tex]7\sqrt{2} \ cm[/tex]

Step-by-step explanation:

Formula ………………………………………………

The length of a diagonal of a square with side of length “a” is :

[tex]a\sqrt{2}[/tex]

======================================================

Since a = 7 (in our case) then

[tex]\text{the length of the diagonal} =7\sqrt{2}[/tex]

Note : you can also use the Pythagorean theorem.

Answer:

Range is 15

Step-by-step explanation:

1. Organize from least to graetest:

29, 32, 33, 33, 36, 37, 38, 40, 44

2. Find the largest and the smallest numer:

29 and 44

3. Subtract:

44

-29

=15

Answer:

its 15

Step-by-step explanation:

i just need da points

Answer:

 43y2+3 + 7y + 1

Step-by-step explanation:

Answer:

0.96%

Step-by-step explanation:

We are looking for the percent that represents "6 out of 625"

Divide to find the decimal answer:

6/625 means

6 ÷ 625

= 0.0096

Then multiply by 100 to change to a percent.

0.0096 × 100

= 0.96%

Answer:

12.25

Step-by-step explanation:

Multiply the pounds of apples by the batches.

1.75×7=12.25

Answer:

228,5

Step-by-step explanation:

a=10

b=15

The area of rectangle:

S=a*b

S=10*15

S=150

The area of 2 halfcircles (1 circle):

d=10

r=d:2

r=5

S=πr²

S=3,14*5²

S=3,14*25

S=78,5

The area of the figure:

78,5+150=228,5

The time that is taken for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds

Given that this is a cosine equation,

At maximum, Cos (0) =1

At minimum, Cos (π) = -1.

Hence,

At the maximum:

At the minimum:

Given that the time taken from max to min is 0.625 and also to min to max is also 0.625,

The total time taken would be:

0.625 + 0.625 = 1.25s

Read more about equations here:

https://brainly.com/question/2972832

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Answer:

it is the answer on the top

Answer:

I think c

Step-by-step explanation:

i might be wrong so dont trust my answer but i would've picked C

Answer:

option D

Explanation:

Identify coordinates from the graph:

a) (3, -2)

b) (-2, -3)

c) (1, 3)

d) (2, 5)

e) (-1, 4)

All of these coordinates fall under option D

Answer:

D

Step-by-step explanation:

Let's find the coordinates of the plotted points (from left to right) :

The listed points are given in option D

Answer:

d

Step-by-step explanation:

sin angle (60) would have been equal to 0.5 or a 1/2

and cos angle(60) would have been equal to 0.86 then you'll say square by 3 over 2

Let me know if this answer can work

Best of Luck

Answer:

25.2

Step-by-step explanation:

Secant-Tangent Formula:

(whole secant) x (external part) = (tangent)^2

(41+12) * 12 = x^2

( 53) * 12 = x^2

636= x^2

Taking the square root of each side

sqrt(636) = x

25.2=x

Answer:

25.2

Step-by-step explanation:

This is an intersection of a tangent and a secant.

Answer:

20.25

Step-by-step explanation:

Answer: [tex]9[/tex] [tex]is[/tex] [tex]your[/tex] [tex]answer :)[/tex]

Step-by-step explanation:

Write the problem as a mathematical expression.

2.25 x 9

The degree is the largest exponent on the variable.

9

Your answer should be (9)

For the given number is 4√18 .The Prime factorization would be 4√18  = 2 x 2 x √2 x √3 x √3.

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, factorization is the decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number.

Those composing integers are called factors of that considered integers.

Prime factorization is when all those factors are prime numbers.

Thus, prime factorization expresses an integer in terms of multiples of prime numbers.

Prime factorization is unique for each integer.

For the given number is 4√18

Prime factorization

4√18  = 2 x 2 x √2 x √3 x √3

Learn more about prime factorization here:

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Answer:

Reflection

Explanation:

This is a reflection because A B and C and A' B' C' are at the same points in their quadrants. A' B' C' is flipped over the X-Axis

Answer:

reflection about the x -axis

Step-by-step explanation:

Mirror line is the x-axis for this translation

Answer:

x = 15

∠AOB = 15°

∠BOC = 165°

Step-by-step explanation:

Angles on a straight line add up to 180°

[tex]\sf \implies \angle AOB + \angle BOC=180[/tex]

Substitute the given expressions for the angles:

[tex]\sf \implies (2x - 15) + 11x = 180[/tex]

Collect and combine like terms:

[tex]\sf \implies 2x +11x- 15=180[/tex]

[tex]\sf \implies 13x- 15=180[/tex]

Add 15 to both sides:

[tex]\sf \implies 13x- 15+15=180+15[/tex]

[tex]\sf \implies 13x=195[/tex]

Divide both sides by 13:

[tex]\sf \implies \dfrac{13x}{13}=\dfrac{195}{13}[/tex]

[tex]\sf \implies x=15[/tex]

Now substitute the found value of x into the expressions for each angle:

[tex]\sf \implies \angle AOB =2(15)-15=15^{\circ}[/tex]

[tex]\sf \implies \angle BOC =11(15)=165^{\circ}[/tex]

Answer:

h(x) = f(x - 12) - 4

Step-by-step explanation:

y = f(x) (-6, 11)

⬇️ ⬇️

y - h(x) (6, 7)

so h(x) = f(x - 12) - 4

Hope this helps and have a nice day

Answer:

  $437.50

Step-by-step explanation:

The amount of tax is found by multiplying the tax rate by the amount being taxed.

__

  0.0175 × $25,000 = $437.50

They are required to pay a business tax of $437.50.

Answer:

10 1/6

Step-by-step explanation:

First, you need to turn all the mixed numbers into improper fractions. You do this by multiplying the whole number by the denominator, adding the numerator, and then putting that number over the denominator.

So, 6 1/2 would become (6(2) + 1)/2 = 13/2. And 3 2/3 would become (3(3) + 2)/3 = 11/3.

Then, you can rewrite your equation using the improper fractions:

x - 13/2 = 11/3

Then, add 13/2 to both sides since it is being subtracted:

x = 13/2 + 11/3

Add the fractions by multiplying the denominators of each by the fraction of the other:

3(13/2) = 39/6
2(11/3) = 22/6

Add the fractions:

39/6 + 22/6 = 61/6

Simplify the fraction:

10 1/6

Answer:

10 1/6 or [tex]10\frac{1}{6}[/tex]

Step-by-step explanation:

The BEST, BASIC, FAST trick to find x in these situtations

If you have to find x in a question which is having Subtraction, then you add what number was being subtracted or what was subtracting the x or variable with the ending result.  If you're doing addition, then you do subtraction in the same way.

Multiplication -> Division

Divisioin -> Multiplication

these 2 also in the same way!

Why do to do this?

Because when we will add that number with the final result, then we will get what is x, since x-that number = the last number. Try to understand, it's pretty hard to explain.

Now, solving the problem!

[tex]6\frac{1}{2} +3\frac{2}{3} =\\\\6\frac{3}{6} +3\frac{4}{6} =\\\\10\frac{1}{6}[/tex]

So your answer is 10 1/6 or [tex]10\frac{1}{6}[/tex]

Thanks!

I hope I could help!

:D

Answer:

49.5

Step-by-step explanation:

you multiply the height and base then divide that awnser by 2