Answer:
6
Step-by-step explanation:
![(15 \times 2) - (4 \times 6) = 30 - 24 = 6](https://tex.z-dn.net/?f=%2815%20%5Ctimes%202%29%20-%20%284%20%5Ctimes%206%29%20%3D%2030%20-%2024%20%3D%206)
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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;
![y=ab^{x}](https://tex.z-dn.net/?f=y%3Dab%5E%7Bx%7D)
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;
![y=(\frac{1}{2})^{x}](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7Bx%7D)
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:
3:1
Step-by-step explanation:
If John makes 3, Then Kaleel makes 9, If John makes 1, Then Kaleel makes 3.
Answer:
4 trips
Step-by-step explanation:
Given that:
Dimension of rectangular tank :
(20cm * 30cm * 40cm)
Dimension of cubic container used to fill tank = 20cm per side
Volume of tank = (20 * 30 * 40) = 24400 cm³
Volume of cubic container = (20 * 20 * 20) = 8000 cm³
Number of trips it would take :
Volume of tank / volume of container
24400 cm³ / 8000 cm³
= 3.05
Hence, it will take 4 trips