What u have to do is get rid of the fractions. You do this by multiplying by 24.
8k=16
Then, divide by 8 to get:
k=2
The answer is k=2.
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.
Ok so we have movie ticket sales and we have 6x+9y=1,500. So for types of graphs, we have linear, exponential, quadratic, and those are the basic types of graphs. Now looking at the equation, we can quickly see that the answer is linear because, looking at the constant, 1500 and the other numbers, we can see the graph will be increasing linear. Hope this helped, feel free to ask questions if you have any!
Answer:
x = -1
Step-by-step explanation:
If both the x values are the same it will be a vertical line and the equation will be x = whatever the x value is in the ordered pair.
The average rate of change obtained from the ratio of change in y to the change in x is 27
The average rate of change can be obtained using the relation :
Rate of change = (y2 - y1) ÷ (x2 - x1)
at; x1 = -3
y1 can be calculated from the function ;
y1= 3(-3³)-1
y1=-82
At ; x2 = 3
y2 can be calculated from the function ;
y2 = 3(3³)-1
y2=80
The rate of change can be calculated thus : (y2 - y1) ÷ (x2 - x1)
[80-(-82)]/[3-(-6])
162/6
27
Learn more about the average rate of change here:
brainly.com/question/18550782
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