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german
3 years ago
6

What is the correct answer and why? Concise and simple explanation please!

Mathematics
1 answer:
rjkz [21]3 years ago
5 0

Answer:

(-∞, α)  

Step-by-step explanation:

The domain is the set of all possible x-values that will make the function work.

f(x) will exist only if the radicand is positive.

Also, x cannot equal α, because f(α) = 1/√0 =1/0 = undefined. Thus, we must have

α - x > 0 or

x < α

The domain is x <α.

In interval notation, the domain is (-∞, α).

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3) Solve the equation. Show steps. -406 = c + 430​
suter [353]

Answer:

- 836

Step-by-step explanation:

Check out the attachment below:

8 0
3 years ago
Which sentence most clearly describes medium? O A. The presence of adventure elements in a mystery was obviously surprising O B.
ryzh [129]
I’m sorry running a little bit late but I’m just
7 0
3 years ago
Solve the system using elimination.<br> 3x + 5y = 55<br> 5x + 4y = 57
Eva8 [605]

Answer:

x=5, y=8. (5, 8).

Step-by-step explanation:

3x+5y=55

5x+4y=57

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

5(3x+5y)=5(55)

-3(5x+4y)=-3(57)

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

15x+25y=275

-15x-12y=-171

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

13y=104

y=104/13

y=8

3x+5(8)=55

3x+40=55

3x=55-40

3x=15

x=15/3

x=5

5 0
3 years ago
What is the recursive formula for this geometric sequence? 4, -12, 36, -108, ...
Setler79 [48]

Answer:

aₙ = 4(-1)ⁿ⁻¹(3)ⁿ⁻¹

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

We can get the value for r by dividing aₙ by aₙ₋₁.

a₄/a₃ = -108/36

a₄/a₃ = -3

      r = -3

    aₙ = 4(-3)ⁿ⁻¹

aₙ = 4(-1)ⁿ⁻¹(3)ⁿ⁻¹

The (-1)ⁿ⁻¹ term makes even-numbered terms negative.

6 0
3 years ago
Read 2 more answers
Show the steps and solution explanations.
strojnjashka [21]

Answer:

Step-by-step explanation:

x+4y=6

x+4y=15

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

x+4y=6

-(x+4y)=-15

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

x+4y=6

-x-4y=-15

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

0=-9

no solution

Answer: No Solution

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

x+4y=7

3x+12y=21

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

simplify 3x+12y=21 into x+4y=7

Answer: Infinitely many solutions

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

x-y=1

2x+y=4

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

x=y+1

2(y+1)+y=4

2y+2+y=4

3y=4-2

3y=2

y=2/3

x-2/3=1

x=1+2/3

x=3/3+2/3=5/3

Answer: x=5/3, y=2/3. (5/3, 2/3).

6 0
4 years ago
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