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.
Answer:
-19, 29, 61, 77
Step-by-step explanation:
Put the domain numbers as a solution for x. May or may not be right. Sorry if it's wrong...
Broken down into steps:
1. Find the slope of the line segment that connecs the points (0,-7) and (4,-15).
2. Start with the point-slope formula for the equation of a straight line:
y-b = m(x-a), where the given point is (a,b). Borrow the value of m that you calculated in (1), above, and insert it into this point-slope formula.
Finish up by subst. the x- and y-values in (-3,6) into this formula.
Done!
You could, of course, solve this result for y if you wished.
Answer:
$1820
Step-by-step explanation:
35 x 52 = $1820
Answer:
Find 6.75% of 260
Step-by-step explanation:
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