7,125 divided by 57000 = 1.25
rounded to 1.3%
1) given function
y = - 2 ^ ( -x + 2) + 1
2) domain: domain is the set of the x-values for which the function is defined.
The exponential function is defined for all the real numbers, so the domain of the given function is all the real numbers.
3) x-intercept => y = 0
=> y = - 2 ^ ( -x + 2) + 1 = 0 => 2^ ( -x + 2) = 1
=> - x + 2 = 0 => x = 2
The x-intercept is x = 0
4) y-intercept => x = 0
=> y = - 2 ^ ( -x + 2) + 1= - 2 ^ ( 0 + 2) 1 = - (2)^(2) + 1 =- 4 + 1 = - 3
=> The y-intercept is - 3
5) limit when x -> negative infinite
Lim f(x) when x -> ∞ = - ∞
6) limit when x -> infinite
Lim f(x) when x - > infinite = 1
=> asymptote = y = 1
7) range is the set of values of the fucntion: y
Given that the function is strictly decreasing from -∞ to ∞, the range is from - ∞ to less than 1
Range (-∞,1)
C !.!.!!.!..!.!!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!
Answer:
The radius of circle O is 8.5 Units
Step-by-step explanation:
Solution
The radius of a circle is refereed to as the half of the diameter.
Now,
On how to figure out the length of AB, we apply the Pythagorean's equation or formula which is given below
Thus,
a² + b² = c²
(15)² + (8)² = c²
225 + 64 = c²
√289 = √c²
Then
c = 17
What this shows is that AB is 17 units.
Since we have gotten the diameter, the next step is to divide into half the know the radius value
Therefore,
17 ÷ 2 = 8.5 Units
= 8.5 Units.
Answer:
b and c
Step-by-step explanation:
The Triangle Inequality Theorem lets us know that the sum of the two shortest sides of the triangle must be greater than the third side of the triangle.
In both A and D, the sum of the shortest two sides are equal to, not greater than the third side, so they will not form a triangle.
In B, 12+20 is 32, which is greater than 25. And in C, 18+24 is 42, which is greater than 30, so they both will form a triangle.
