Answer:
10.8
Step-by-step explanation:
To find (f/g)(5), find f(5) and (g5) then divide the values.
f(5) = 7 + 4(5) = 27
g(5) = 1/2 (5) = 2.5
27/2.5 = 10.8
The function will show exponential decay if one of the following is true
- the base is less than 1 and the exponent is positive
- the base is greater than 1 and the exponent is negative
The function that meets the requirement for exponential decay is ...
47, 57, 67, 77 are the numbers.
Let's take a look at a perfect square trinomial.
We can distribute this expression to get
.
An important relation to recognize here is that the constant is the square of half of the x value.
Now, if we wanted to add a number to
to make a perfect square trinomial, we could have the value of x and then square it.
Half of 16 is 8, and 8 squared is
Answer:
(s*t)(-7) = 987
Step-by-step explanation:
s(x) = 2 - x²
t(x) = 3x
To find (s*t)(x), multiply s(x) and t(x).
(s*t)(x) = (2 - x²)(3x)
(s*t)(x) = 6x - 3x³
Now that you have (s*t)(x), plug -7 in.
(s*t)(-7) = 6(-7) - 3(-7)³
(s*t)(-7) = 6(-7) - 3(-343)
(s*t)(-7) = -42 + 1029
(s*t)(-7) = 987