Find the equation of the exponential function represented by the table below: y=
1 answer:
Answer:
The value of exponential function: y = 0.2(0.5)ˣ
Step-by-step explanation:
We know that the exponential function is of the form
y = abˣ
From the table, it is clear that
when x = 0, y = 0.2
so substitute x = 0, y = 0.2
0.2 = a × 1 ∵ b⁰ = 1
0.2 = a
so, we have a = 0.2
now substitute x = 1 and y = 0.1
y = abˣ
0.1 = 0.2×b¹
0.1 = 0.2×b
b = 0.1/0.2
b = 0.5
now substituting a = 0.2 and b = 0.5
y = abˣ
y = 0.2(0.5)ˣ
Therefore, the value of exponential function: y = 0.2(0.5)ˣ
You might be interested in
I attached a photo where I graphed these vertices in order to count the length and width. After counting the number of units between R & U I got a width of 4. And then I counted the units between S & T to get a width of 6. Using the formula to calculate the perimeter of a rectangle, P = 2(l+w). The perimeter is 20.
First I added the length plus the width, 4 + 6 and got 10. Then I did 10 x 2 which is how I got a perimeter of 20.
First I added the length plus the width, 4 + 6 and got 10. Then I did 10 x 2 which is how I got a perimeter of 20.
9514 1404 393
Answer:
9.90×10^-15
Step-by-step explanation:
The leading non-zero digit must be move 15 places to the left to put it in the units place. Having done that, its original value will be restored by multiplying by 10^-15.
Rounded to 3 significant figures, 989912345 becomes 990. The trailing zero must be kept as part of the number to indicate that there are 3 significant figures.
In scientific notation, the number is ...
9.90×10^-15
_____
<em>Additional comment</em>
If the number can be copied and pasted to a spreadsheet, it can be formatted to scientific notation with the required number of digits. Here, we can't copy the number from the image, so we have marked off the decimal places in a way that makes them easier to count. Copying the given number text would avoid any transcription errors.
