Answer:
[ where
is number of months]
![F(12)=195](https://tex.z-dn.net/?f=F%2812%29%3D195)
Step-by-step explanation:
Pool pass cost for first month =$30
Pool pass cost after first month = $15 for each month
The total amount charged by the pool can be expressed as a function
where
represents the number of months.
![F(n)=15(n-1)+30](https://tex.z-dn.net/?f=F%28n%29%3D15%28n-1%29%2B30)
This can be simplified by using distribution.
![F(n)=(15n-15)+30](https://tex.z-dn.net/?f=F%28n%29%3D%2815n-15%29%2B30)
![F(n)=15n-15+30](https://tex.z-dn.net/?f=F%28n%29%3D15n-15%2B30)
![F(n)=15n+15](https://tex.z-dn.net/?f=F%28n%29%3D15n%2B15)
Take 15 as greatest common factor.
∴ ![F(n)=15(n+1)](https://tex.z-dn.net/?f=F%28n%29%3D15%28n%2B1%29)
For ![n=12](https://tex.z-dn.net/?f=n%3D12)
![F(12)=15(12+1)](https://tex.z-dn.net/?f=F%2812%29%3D15%2812%2B1%29)
![F(12)=15(13)](https://tex.z-dn.net/?f=F%2812%29%3D15%2813%29)
![F(12)=195](https://tex.z-dn.net/?f=F%2812%29%3D195)
∴ Amount charged by pool for 12 months = $195
Answer:
Integer, rational
Step-by-step explanation:
An integer is normally described as a positive and their opposites and zero. The explaination for blank 2 is a rational number because a rational number can also be an integer and a whole number. Hope this helps!
Answer:
Step-by-step explanation:
B. for it to be a proper function, it must pass the vertical line test (meaning, if you were to fill a continuous line between each of the dots, and then drew a string vertical line down at any point along the function, that vertical line cannot intersect with the function line more than once.
A, would fail the vertical line test, C< and D would also fail, as a vertical line would intersect/cross the function line more than once.
Answer:
{x,y,z} = {-18,4,2}
Step-by-step explanation:
Solve equation [2] for the variable x
x = -10y + 2z + 18
Plug this in for variable x in equation [1]
(-10y+2z+18) + 9y + z = 20
- y + 3z = 2
Plug this in for variable x in equation [3]
3•(-10y+2z+18) + 27y + 2z = 58
- 3y + 8z = 4
Solve equation [1] for the variable y
y = 3z - 2
Plug this in for variable y in equation [3]
- 3•(3z-2) + 8z = 4
- z = -2
Solve equation [3] for the variable z
z = 2
By now we know this much :
x = -10y+2z+18
y = 3z-2
z = 2
Use the z value to solve for y
y = 3(2)-2 = 4
Use the y and z values to solve for x
x = -10(4)+2(2)+18 = -18
Answer:
2w+10
Step-by-step explanation: