Answer:
y = 18·8^x
Step-by-step explanation:
We assume you want a model that looks like y = ab^x.
To find the values of "a" and "b", you can fill in the given numbers and solve the system of equations:
18 = a·b^0
9216 = a·b^3
The first equation tells you ...
18 = a
Dividing the second equation by the first gives ...
9216/18 = (a·b^3)/(a·b^0) = b^3
512^(1/3) = b = 8
The exponential function is ...
y = 18·8^x
Answer:
Proven Below
Step-by-step explanation:
If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.
Answer: 
Step-by-step explanation:
We can place a rook in each row in 
ways.
We can place a rook in each column in ways.
So the total ways in which we can place a rook in a row or column is 
Now there are 8 ways to choose the column for the first row, 7 ways to choose the column for the second row, and so on. So there are 8! ways to choose a column for a row.
So, we get the final answer by subtracting the 8! from the total ways a rook can be placed which is when binomial coefficients are not evaluated
Answer:
-8
Step-by-step explanation:
Start by multiplying both sides by 4.
Next, multiply both sides by 2.
Now, combine like terms.
Answer:
89
Step-by-step explanation:
add 5 so 84 and then you add 5 to that and the answer you get is 89
