By applying the definition of <em>exponential</em> function, we find that the function f(x) = 3 · 2ˣ match with the graph of the picture. (Correct choice: A)
<h3>What is the equation behind the exponential curve seen in the graph?</h3>
In this question we have the graph of a <em>exponential</em> function, whose expression have to be found based on the definition of <em>exponential</em> function:
y = a · bˣ (1)
Where:
- a - Initial value of the exponetial function.
- b - Base of the exponential function.
- x - Independent variable
- y - Dependent variable
Now we find the values for a and b:
Initial value (x = 0, y = 3)
3 = a · b⁰
a = 3
Base of the exponential function (x = 1, a = 3, y = 6)
6 = 3 · a
a = 6 / 3
a = 2
By applying the definition of <em>exponential</em> function, we find that the function f(x) = 3 · 2ˣ match with the graph of the picture. (Correct choice: A)
To learn more on exponential functions: brainly.com/question/11487261
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Answer:
x = 60
Step-by-step explanation:
to solve this simple expression, you will collect the like terms and then evaluate for the value of x
<u>solution</u>
8.4 + 0.18x =0.32x
8.4 = 0.32x - 0.18x
8.4 = 0.14x
divide both side by the coefficient of x
8.4/0.14 = 0.14x/0.14
60 = x
x = 60
to check if the answer is correct put the value of x = 60 into the question and check if the right handside is equal to the left handside.
8.4 + 0.18x =0.32x
8.4 + 0.18 × 60 = 0.32 × 60
8.4 + 10.8 = 19.2
19.2 = 19.2................................................................................ proved
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