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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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The n number of homeruns hit during the regular season by a certain baseball player can be modeled by the function n(x) =3/4x, w
sukhopar [10]

Answer:

The average rate of change is equal to \frac{3}{4}\frac{homeruns}{game}

Step-by-step explanation:

we have

n(x)=\frac{3}{4}x -----> this is a linear direct variation

we know that

The rate of change of a linear variation is a constant

The rate of change of a linear variation is equal to the slope of the line

In this problem the slope of the line is equal to m=\frac{3}{4}\frac{homeruns}{game}

therefore

The average rate of change is equal to \frac{3}{4}\frac{homeruns}{game}

<u>Verify</u>

the average rate of change is equal to

\frac{n(b)-n(a)}{b-a}

In this problem we have

n(a)=n(12)=\frac{3}{4}(12)=9\ homeruns  

n(b)=n(60)=\frac{3}{4}(60)=45\ homeruns  

a=12\ games

b=60\ games

Substitute

\frac{45-9}{60-12}=\frac{3}{4}\frac{homeruns}{game}

4 0
3 years ago
instead of recording the number 1.25cm of redius of a tube a student recorded 1.23cm find the percentage error correct to 1 deci
DaniilM [7]
This would be:-

2  * 100
--             =    1.6%
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8 0
3 years ago
Solve this equation -129=6(7+7x)-3
leva [86]

Answer:

-4

Step-by-step explanation:

-129 = 6(7 + 7x) - 3

Distribute the 6 into the parentheses.

-129 = 42 + 42x - 3

Add like terms.

-129 = 39 +42x

Subtract 39 from both sides.

-168 = 42x

Divide 42 from both sides.

-4 = x

7 0
3 years ago
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Find the quotient of –30 and –15.
horsena [70]
-30+-15
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hope that helps
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Which of the following situations can be modeled by the expression -4 + (-7)?
dybincka [34]
The answer to the question is the second story problem
6 0
3 years ago
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