Answer:
y=(0.1)x and y=2(1/4)x represent exponential decay
the rest all are an equation used for exponential growth
Answer:
2nd option
Step-by-step explanation:
using the converse of Pyhagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 100 , then 100² = 10000
60² + 80² = 3600 + 6400 = 10000
then
60² + 80² = 100²
thus the triangle is right
Answer:
Plot the points (0,0) , (5, 4) and (-5, -4).
Step-by-step explanation:
You could plot three points. Then if they have been plotted correctly the graph will be a straight line joining these 3 points.
The 3 points could be
x y
0 0
5 4 ( 4 because y = 4/5 * 5 = 4)
-5 -4 ( y = 4/5 * -5 = -4).
Answer:
-1.
Step-by-step explanation:
First find the derivative of f(x):
f'(x) = -3x^2 + 12x - 9 = 0 for a maximum or minimum.
-3(x^2 - 4x + 3) = 0
(x - 1)(x - 3) = 0
x = 1, 3.
To find which gives a relative maximum we find the second derivative:
f"(x) = -6x + 12
When x = 1 f"(x) = 6, positive.
when x = 3, f"(x) = -6, negative.
So x = 3 gives a maximum value of f(x).
f(3) = -(3)^3 + 6*(3)^2 - 9(3) - 1 = -1 (answer).
