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umka21 [38]
3 years ago
14

Find the domain of h(x)=x/x^2-x-6​

Mathematics
2 answers:
frozen [14]3 years ago
7 0

Set the denominator equal to 0 and solve for x.

x^2 - x - 6 = 0

Factor.

(x - 3)(x + 2 ) = 0

Set each factor to 0 and solve for x.

x - 3 = 0

x = 3

x + 2 = 0

x = -2

The domain is ALL REAL NUMBERS except that x CANNOT equal 3 or -2.

Fynjy0 [20]3 years ago
3 0

Answer:

x

∈

R

−

{

−

2

.

3

}

Explanation:

h

(

x

)

=

x

x

2

−

x

−

6

is defined for all Real values of

x

except those values for which

x

2

−

x

−

6

=

0

x

2

−

x

−

6

=

(

x

+

2

)

(

x

−

3

)

So if

x

=

−

2

or

x

=

3

XXXX

x

2

−

x

−

6

=

0

and

XXXX

h

(

x

)

is undefined

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200 labourers need 50 days to construct a road of 4 km long. How many labourers are needed to construct 8 km long in 80 days​
patriot [66]

Answer:

250

Step-by-step explanation:

Number of labourers * Number of days worked = Total number of working days

Total number of working days to construct a 4km long road: 200*50=10000

Total mumber of working days to construct a 8km long road: 10000*2=20000

Labourers: 20000 ÷ 80 = 250.

250 labourers are required.

7 0
3 years ago
PLZ ANSWER THIS<br> thanksssss
just olya [345]

Answer:

It should be C) 11+ 3 5/8

Step-by-step explanation:

5 0
3 years ago
Under which conditions does the molar volume of a gas decrease? A. at 273 K and at 2.0 atm. B. at 273 K and at 0.5 atm. C. at 40
Sloan [31]
We first assume that this gas is an ideal gas and we use the ideal gas equation to determine the answer. It is expressed as:

PV = nRT

Molar volume can be obtained from the equation by V/n.

V/n = RT/P

Therefore, the correct answer from the choices listed above is option A, <span>at 273 K and at 2.0 atm.</span>
7 0
3 years ago
Read 2 more answers
The gift shop at manatee mall was having a clearance sale everything marked down 30%. The original price of a manatee hat was 18
jeka94
<h2>Greetings!</h2>

Answer:

$12.60

Step-by-step explanation:

To find this, you need to remember this equation:

Starting amount x \frac{100 - percent}{100}

Plug these values in:

18 x \frac{70}{100} = 12.6

So the clearance price was $12.60!


<h2>Hope this helps!</h2>
7 0
3 years ago
What is the median of the data?
eimsori [14]
<span>20, 19, 13, 23, 16, 15, 17, 17, 15, 15, 22, 19

</span>To find the Median, place the numbers in value order<span> and find the </span>middle<span>.
</span>
13, 15, 15, 15, 16, 17, 17, 19, 19, 20, 22, 23

There are 12 numbers and so we don't have just one middle number, we have a pair of middle numbers:


13, 15, 15, 15, 16, (17, 17), 19, 19, 20, 22, 23

<span>To find the value halfway between them, add them together and divide by 2:
</span>
17 + 17 = 34
34 ÷ 2 = 17

So the median is A) 17.

8 0
3 years ago
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