Answer:
The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.
Step-by-step explanation:
Exponential equations are usually in the form;
where;
a is the initial value, that is the value of y when x is 0,
b is the growth or decay factor and also the base of the exponential function
If b>1, then it is an exponential growth function and the values of y keep getting bigger.
if 0<b<1, then it is an exponential decay function and the y values keep getting smaller as x increases.
In the function given;
The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.
In order to justify our prediction, we can simply obtain the graph of the function and check on how x and y vary.
From the attachment below we can see that the values of y become increasingly smaller as the values of x increases in magnitude which justifies our predictions.
Answer:
The coordinate of point M = (-6,7)
Explanation:
The Median of a triangle is a line segment from a vertex to the midpoint of the opposite side of a triangle.
Given: has vertices T(3,6) , R(-3,10) and E(-9,4).
Here, line TM is a median of triangle TRE where M is the midpoint of RE.
The midpoint of M of the line segment from R(-3,10) to E(-9,4) is;
M =
Therefore, the coordinate of point M is, (-6,7).