Answer:
Step-by-step explanation:
We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is
where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)
Solving first for a:
. Sine anything in the world raised to a power of 0 is 1, we can determine that
a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:
. Since b to the first is just b:
1.5 = 3b so
b = .5
Filling in our model:
Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.
Q+12-2q+44=0
-q=-44-12
q=56
Answer: Attached.
Step-by-step explanation:
Either solve the equations directly, or graph them and look for the point of intersection.
Answer:
Step-by-step explanation:
Rewrite this as
Knowing that i-squared = -1:
Both i-squared and 100 are perfect squares, so this simplifies to
±10i
Answer:
x = -3/2
Step-by-step explanation:
4(x + 3) = 6
4x + 12 = 6
4x = 6 - 12
4x = -6
x = -6/4
x = -3/2
