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I am Lyosha [343]
3 years ago
6

Find the domain for the function f(x)=sqrt x^2-x+6

Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer:

The domain is {x : x ∈ R} or (-∞ , ∞)

Step-by-step explanation:

* Lets explain how to find the domain

- The domain of the function is the values of x which make the

  function defined

- The quantity under the square root must be ≥ 0 because there is

  no square root for negative value

* Lets solve the problem

∵ f(x) = √(x² - x + 6)

∴ The value of (x² - x + 6) must be greater than or equal zero because  

   there is no square root for negative value

- Graph the function to know which values of x make the quantity

  under the root is negative that means the values of x which make

  the graph under the x-axis

∵ The graph doesn't intersect the x-axis at any point

∵ All the graph is above the x-axis

∴ There is no value of x make f(x) < 0

∴ x can be any real number

∴ The domain of f(x) is all real numbers

∴ The domain is {x : x ∈ R} or (-∞ , ∞)

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Nitella [24]

Answer:

a)10

b)5120

Step-by-step explanation:

Given that number of ants double after every ten days, form a table that shows numbe of ants from day 1 to day 91

Day                                                  Number of Ants

1                                                                       10

11                                                                      20

21                                                                     40

31                                                                     80

41                                                                     160

<em>51                                                                    320-----------------given</em>

<em>61                                                                    640------------------given</em>

<em>71                                                                    1280----------------given</em>

81                                                                   2560

91                                                                    5120

Using the given values for number of ants and the number of days, you can notice the trend for values of days and number of ants.After every ten days, number of ants doubles.Using this information, you can navigate backwards up to day 1 and forward up to day 91

4 0
3 years ago
In a sequence of numbers, a4=12, a5=14, a6=16, a7=18, and a8=20.
faltersainse [42]

Answer:

you are right, it's a)❤

Step-by-step explanation:

a4=12---> put the formula in it

2×4+4=12

a5=14---> 2×5+4=14

a6=16---> 2×6+4=16

.

.

.

hope it helps❤

6 0
3 years ago
What is the answer to this?
klasskru [66]

Answer:

Step-by-step explanation:

x^{3}\sqrt{yz}

2^{3}\sqrt{82}

=72.443...

6 0
3 years ago
Alexa is ordering a taxi from an online taxi service. The taxi charges $4 just for the pickup and then an additional $1.25 per m
Rufina [12.5K]

Answer:

Alex's ride is $15.25

The equation to find this is

1.25m + 4 = cost

m = miles traveled

6 0
2 years ago
I need to know if I did part a right and how to do part b
zhenek [66]
I think Part a is right

Hope this Helps!!!
6 0
3 years ago
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