For this case we have the following functions:
We must find
By definition:
So, evaluating g(x) in f(x) we have:
ANswer:
Option D
the pizza is cut into 8 pieces
each piece costs 2.25
so total cost = 2.25 *8 = $18
The expression y = 4.998 · is the exponential function that passes through the points (- 1, 5 / 3) and (3, 135).
<h3>How to derive an exponential function that passes through two given points</h3>
Herein we find the location of two points set on Cartesian plane that belongs to an exponential function of the form:
Where:
- A - y-Intercept of the exponential function.
- B - Growth factor
- x - Independent variable.
- y - Dependent variable.
Which is equivalent to the following logarithmic expression:
㏑ y = ㏑ A + B · x
If we know that (x₁, y₁) = (- 1, 5 / 3) and (x₂, y₂) = (3, 135), then the following system of equations is generated:
㏑ (5 / 3) = ㏑ A - B
㏑ 135 = ln A + 3 · B
Then, we solve the system by numerical methods:
㏑ A = 1.609 (A = 4.998), B = 1.098
And the exponential function is equal to y = 4.998 · .
To learn more on exponential functions: brainly.com/question/11487261
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Answer:
n/2>8
Step-by-step explanation:
Half of N is N/2
And if 8 is less that half of N or N/2
then
N/2 has to be greater than 8
N/2>8
Answer:
7x^2+21x+14
Step-by-step explanation:
With this all we have to do is foil:
first outside inside last
first: 7x^2
outside: 14x
inside: 7x
last: 14
we now combine them to
7x^2+14x+7x+14
we add like terms
7x^2+21x+14