You could say that a(n) = 12 - 5n .
Then ...
a(1) = 12 - 5 = 7
a(2) = 12 - 10 = 2
a(3) = 12 - 15 = -3
and so on.
So it seems to work.
Answer:
Step-by-step explanation:
4). This is an exponential function.
5). Let the equation of this function is,
f(x) = a(b)ˣ
Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,
For (-1, 4),
4 = a(b)⁻¹
4 =
--------(1)
For (0, 6),
6 = a(b)⁰
a = 6
From equation (1),
4 = 
b =
= 1.5
Therefore, equation of the function will be,
f(x) = 6(1.5)ˣ
6). Now the value of f(-4) will be,
f(-4) = 6(1.5)⁻⁴
= 1.185
Answer:
Let the number of books she can purchase = b
The cost of each book is $5.5 with an extra shipping of $7.5
So, the total cost of the books she can purchase = 
Since, she had $65 to spend on the books.
The required inequality is
.
So, according to the inequality above, we get,
The correct options are,
B. The inequality symbol is incorrect because she can spend up to and including $65.
C. The expression
is correct because $5.50 per book is
and that is added to the shipping fee of $7.50 to determine the total purchase price.
period (T): the time it takes to travel one wave
= 2π - (-10π)
= 12π