Joe invests $1000 at the start of each year for five years and earns 6.3% simple interest on his investments. How much will all
1 answer:
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Answer:
Step-by-step explanation:
A parabola is written in the form
(1)
where:
is the x-coordinate of the vertex of the parabola
is the y-coordinate of the vertex of the parabola
is a scale factor
For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:
(2)
From this last equation, we get that (3)
Substituting (2) and (3) into (1) we get the new expression:
(4)
We also know that the parabola contains the point (2,-1), so we can substitute
x = 2
f(x) = -1
Into eq.(4) and find the value of k:
So we also get:
So the equation of the parabola is:
(5)
Now we want to rewrite it in the standard form, i.e. in the form
To do that, we simply rewrite (5) expliciting the various terms, we find:
Answer with Step-by-step explanation:
We are given that an expression
We have to find domain restriction of the given function.
Domain restriction means : It is that value of x when substitute in function then function will not defined.
It means it is that values which makes denominator zero.
From given function we can see that
When substitute g=0 then it makes denominator zero.
Hence, the function is not defined at g=0
Substitute g=4
Then, it makes denominator zero.
Hence, function is not defined at g=4
Substitute g=2
Then,it makes denominator zero.
Hence, function is not defined at g=2
Therefore, the function is defined for all values of g except g=0, g=2 and g=4