If you had the number 4 1/4 you would divide the numerator (1) by the denominator (4) and then take the decimal number (0.25) you get and add the decimal to the whole number on your mixed number (4+0.25) and that would give you the decimal.
Answer:
y = 2x - 8
Step-by-step explanation:
Answer:

Step-by-step explanation:
From the given information:
The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.
Now, let V(x) be the time needed for the runner to reach the buoy;
∴ We can say that,

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.
i.e
The differential of V(x) = V'(x) =0
=





squaring both sides; we get


By cross multiplying; we get










Answer:
B) 
Step-by-step explanation:
Because
simplifies to
, we only care about the quotient, which will be our oblique asymptote equation. Therefore, the oblique asymptote for the function will be
. See the attached graph for a visual.
Answer:
Part 1)
----->
Part 2)
----> 
Part 3)
----> All real numbers
Part 4)
----> 
Step-by-step explanation:
we know that
The domain of a function is the set of all possible values of x
Part 1) we have

we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=0 the function is not defined
therefore
The domain is

Part 2) we have

we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=-4 the function is not defined
therefore
The domain is

Part 3) we have

Applying the distributive property

This is a vertical parabola open upward
The function is defined by all the values of x
therefore
The domain is all real numbers
Part 4) we have

we know that
In a quotient the denominator cannot be equal to zero
so
Equate the denominator to zero

Remember that

(
The solution is x=-4
so
For the value of x=-4 the function is not defined
therefore
The domain is
