Answer:
The correct option is 'c' <em>cross-multiplication</em>
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
cos(θ) = √(1 -sin(θ)²) = √(1 -3/4) = √(1/4)
cos(θ) = 1/2
Y = x^2 - 6x + 7
a = 1
b = -6
c = 7
Before you get the A.O.S, you must first solve for the vertex.
The vertex formula is \frac{-b}{2a}
Plug in the numbers:
-(-6) / 2(1)
--6 = 6 and 2*1 = 2
6/2
Vertex (or x) = 3
Now you have to plug in the x in order to find the vertex (or y)
Your equation should now look like this;
y = (3)^2 - 6 (3) +7
Solve each part separately and then add it up...
3^2 = 9
-6 * 3 = -18
+7
9 - 18 + 7
A.O.S (or y) = -2
Given:
The table of values of an exponential function.
To find:
The decay factor of the exponential function.
Solution:
The general form of an exponential function is:
...(i)
Where, a is the initial value and 
is the decay factor and 
is the growth factor.
The exponential function passes through the point (0,6). Substituting 
in (i), we get
The exponential function passes through the point (1,2). Substituting 
in (i), we get
Here, 
lies between 0 and 1. Therefore, the decay factor of the given exponential function is 
.
Hence, the correct option is A.
Domain:-> ( (-infinity) ,4)
Range:-> ((-infinity),infinity)
increasing in (-2.8,1.4)
decrasing in ( (-infinity) ,-2.8 ) U (1.4, infinity)
Hope it helps...
Regards,
Leukonov/Olegion.
