Exponential.
One way to think about this, is to ask how much you will lose each year. The first year you're losing 20% of $20,000 ($4,000). The second year you're losing 20% of 16,000 ($3,200). The dollar value your car loses each year diminishes exponentially, so it is not a linear but an exponential function.
In order to solve these you first need a ratio.
From what we can tell, the ration from LEFT to RIGHT is:
2:3
Therefore, in order to have a 2:3 ratio, we need 5 parts total (2 parts on left + 3 parts on right = 5 total parts!)
A) 60
B) 90
Answer:
II. a = 6 , b = 9.1 , c = 10.9
Step-by-step explanation:
I. a = 1.2 , b = 3.5 , c= 3.6
c² = a² + b²
3.6² = 1.2² + 3.5²
12.96 = 1.44 + 12.25
12.96 ≠ 13.69
These sides cannot create a right triangle.
II. a = 6 , b = 9.1 ,c = 10.9
c² = a² + b²
10.9² = 6² + 9.1²
118.81 = 36 + 82.81
118.81 = 118.81
Therefore, these sides can create a right triangle.
III. a = 6 , b = 8 , c = 9
c² = a² + b²
9² = 6² + 8²
81 = 36 + 72
81 ≠ 108
These sides cannot create a right triangle.
Definitely multiply out the given factors:
f(x) = 10 + 2x - 5x - x^2, or f(x) = -x^2 - 3x + 10
Find the derivative: f '(x) = -2x - 3
Set the deriv. = to 0 and solve for x: -2x = 3, and x = -3/2
This x = -3/2 is the x-coordinate of the max value. The y-coord. is
f(-3/2) = (-3/2)^2 - 3(-3/2) + 10 = 21.25
I realize that this result does not agree with any of the four possible answers. Please ensure that y ou have copied down this problem completely and correctly.
Answer:
No. No Solution
Step-by-step explanation:
5(n + 1) + 2n --> 5n + 5 + 2n -->7n + 5
7n + 5 ≠ 7n + 1