Answer:
Step-by-step explanation:
If this is an exponential function, it is of the form
where x and y are coordinates from your table, a is the intial value, and b is the growth/decay rate. To find out what the equation is that represents this data, choose 2 points and solve first for a and then for b. Just a hint: If at all possible, choose the coordinate that gives you an x of 0. You'll see why in a minute.
I chose the first 2 points from your table: (0, .2) and (1, .8). Solving first for a:
The reason to choose the x of 0 as one of your points is because anything raised to the power of 0 is 1. So our equation then becomes:
so
a = .2 Easy enough.
Now use that value along with the other coordinate to solve for b:
b to the first is just b, so,
.8 = .2b
Divide both sides by .2 and you'll get that
b = 4
The equation, then, is
which is growth, since the value for b is greater than 1.
Consecutive even integers..x, x + 2, x + 4
x + (x + 2) + (x + 4) = 6216
3x + 6 = 6216
3x = 6216 - 6
3x = 6210
x = 6210/3
x = 2070
x + 2 = 2070 + 2 = 2072
x + 4 = 2070 + 4 = 2074 <===house 3
Answer:
No.
Step-by-step explanation:
The logarithm of a number to the base b of a certain number is the exponent
to which the base b is raised to equal the given value.
So say we have logb y = a, then
y = b^a
So if y = 0 then
0 = b^a
If b is a positive number then there is no value of a that makes y = 0.
for example y = b^0 = 1, y = b^1 = b etc.
