The domain of the exponential function f(x) = 3 ^ x - 5 is (-infinity, infinity)
An exponential function is a mathematical function of the following form: f ( x ) = an x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.
Exponential Function Formula
An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
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Answer:
(-infinity, infinity)
Step-by-step explanation:
and area
. Find the radius of the circle
Answer:
Step-by-step explanation:
Begin with the formula for the area of a sector:
and we are given everything except the radius, r. Filling in what we know:
and then start the simplification process. I began by dealing with the fraction over a fraction thing, which simplifies the equation to:
then isolate the r-squared:
. Canceling out the π's and the 8's leaves us with simply
r² = 49 so
r = 7
cm
m
km
Answer:
C. The discriminant is negative, so there are no solutions.
Step-by-step explanation:
We see that the given figure is a graph of a parabola.
The equation of the given parabola is .
Simplifying the equation in quadratic form, we get,
The equation is i.e. i.e. .
We know that the discriminant of a quadratic equation is given by
So, from the equation , we have,
a = 1, b = -6 and c = 10
Thus, the discriminant is
i.e.
i.e.
So, the discriminant is -4 i.e. negative.
Hence, as the discriminant is negative, there are no solutions.
Answer:
Tax = $0.97175
Final Price = $15.92175
Step-by-step explanation:
To calculate the amount of tax of an amount you just must multiply this figure by the percentage of the tax expressed in decimal numbers.
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Data:
Price = $14.95
Tax rate = 6.5%
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Calculation of tax:
amount = total x percent = $14.95 x 6.5% = $14.95 x 0.065 = $0.97175
Calculation of the final price with tax:
Amount = book cost + tax = $14.95 + $0.97175 = $15.92175
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Tax = $0.97175
Final Price = $15.92175
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Hope this helps!