1) Answer: 
<u>Step-by-step explanation:</u>
f(x) = 6x⁻¹
f'(x) = -6x⁻²
= 
f'(-2) = 
= 
=
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2) Answer: 
<u>Step-by-step explanation:</u>
f(x) = -9x⁻¹
f'(x) = 9x⁻²
= 
f'(6) = 
= 
=
<h3>
Answer: 50</h3>
========================================================
Explanation:
We're given f(1) = 3.2 which says the first term of the sequence is 3.2
To find the second term, we use the other equation, which is the recursive equation. Plug in x = 1 to get...
f(x+1) = 2.5*f(x)
f(1+1) = 2.5*f(1)
f(2) = 2.5*f(1)
f(2) = 2.5*3.2
f(2) = 8
The second term is 8. We multiplied the previous term (3.2) by the factor 2.5 to get this second term.
The third term is handled pretty much in a similar fashion
third term = 2.5*(second term)
third term = 2.5*8
third term = 20
Lastly, the fourth term f(4) is...
f(x+1) = 2.5*f(x)
f(3+1) = 2.5*f(3)
f(4) = 2.5*f(3)
f(4) = 2.5*20
f(4) = 50
The fourth term is 50.
The first four terms are: 3.2, 8, 20, 50
Por ejemplo, vamos a hacer la descomposición factorial en números primos del número 24. Ahora buscamos un número primo que sea divisor de 24. Como 24 es un número par, sabemos que un divisor es 2. ... Dividimos 12 entre 2 y el resultado es 6
Answer:
(fog)(-3)= 11
Step-by-step explanation:
we have from statement:
f(x) = 7x + 4
g(x) = x + 4
so we have:
(fog)(x)= 7(x+4) + 4
(fog)(-3)= 7(-3+4) + 4
(fog)(-3)= 7(1) + 4
(fog)(-3)= 11
Answer: the store paid $18.3 for the sweater
Step-by-step explanation:
Let x represent the amount that the store paid for the sweater.
A store marks up the price of a sweater by $7.35. This means that the new or current price of the sweater at the store would be
7.35 + x
The total cost of the sweater is 25.65. Therefore, an equation to represent the problem would be
7.35 + x = 25.65
Subtracting 7.35 from the left hand side and the right hand side of the equation, it becomes
7.35 + x - 7.35 = 25.65 - 7.35
x = $18.3
