Answer:
f(x) = 
Step-by-step explanation:
The given options are,
a) f(x) = 
b) f(x) = 
c) f(x) = 
d) f(x) = 
Now, clearly a) is a monotonically increasing function, hence discarded, and both of c) and d) don't pass through (0, 1) hence they are also discarded.
Only b) is a decay function which does also pass through (0, 1), hence, b) is the correct option.
Answer:
rational
Step-by-step explanation:
its decimal expansion terminates after 9 and it can also be represented as fraction.
If the other number is x, then the first can be expressed as 2x-14. Then the sum of the numbers is
x + 2x - 14 = 67
3x - 14 = 67
3x = 81
x = 27
2x - 14 = 40
The numbers are 27 and 40.
Answer:
Height and base are both 12 in
Step-by-step explanation:
Formula area triangle: area = (height * base) /2
Since for the first triangle height and base are the same we will call is x.
The area for the first triangle is
area = (x^2) /2 = 0.5x^2
The new triangle area is
first triangle - 36 = ((x/2) * x)/2
0,5x^2 - 36 = (0,5x * x)/2
0,5x^2 - 36 = (0,5x^2)/2
0,5x^2 - 36 = 0,25x^2
0,25x^2 = 36
x^2 = 144
X = square root (144) = 12 in