Range of value, solve for x, 2x-15

3

Step-by-step explanation:

Set the denominator in  

3

x

2

−

2

x

−

15

equal to  

0

to find where the expression is undefined.

x

2

−

2

x

−

15

=

0

Solve for  

x

.

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x

=

5

,

−

3

The domain is all values of  

x

that make the expression defined.

Interval Notation:

(

−

∞

,

−

3

)

∪

(

−

3

,

5

)

∪

(

5

,

∞

)

Set-Builder Notation:

{

x

|

x

≠

−

3

,

5

}

(a)

(b)

The distance traveled in 30 seconds is 45 miles

(c)

It takes 85 seconds to go 12.75 miles

Step-by-step explanation:

we are given

An airplane is flying from New York City to Los Angeles

d is the distance traveled in miles

t is time in second

we have equation as

(a)

we have to find speed

we can see that our distance equation is in linear form

For finding speed, we can compare our equation with equation of line

and slope of the line will be speed

because slope is the rate of change

where m is slope

so, we can compare

and we get

so,

(b)

we can plug t=30 and find d

miles

so, The distance traveled in 30 seconds is 45 miles

(c)

we can set d=12.75 and solve for t

So,

It takes 85 seconds to go 12.75 miles