Answer:
a = -8
Step-by-step explanation:
you can solve this proportion by cross-multiplying:
4(a + 9) = -1(a + 4)
now distribute to eliminate parentheses
4a + 36 = -1a - 4
5a + 36 = -4
5a = -40
a = -8
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.
There would be about 19 defective products delivered.
First, let's start with the number of defective games.
100000 x 0.0095 = 950
Now, the test will catch 98% of those defects. That means 2% of the defects will get through to the consumers.
0.02 x 950 = 19
Answer:
factor of 6 and 5
Step-by-step explanation: