The way I figured this one out was saying that if it takes 2lbs to stretch it to 12 inches and 5lbs to stretch to 18 inches that means that 3 additional pounds = 6 inches. Therefore, each additional pound is 2 inches. We know already that with 2 lbs it was 12 inches in length and we can also say that 2 lbs = 4 inches. So subtract 4 from 12 and you end up with the answer of 8 inches.
Answer:
irrational
Step-by-step explanation:
An irrational number has an endless number of digits to the right of the decimal
Answer: 60 gallons of the 20% solution and 120 gallons of the 50% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of 20% solution that should be mixed.
Let y represent the number of gallons of 50% solution that should be mixed.
A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. This means that
0.2x + 0.5y = 0.4×180
0.2x + 0.5y = 72- - - - - - - - - - - -1
Since the total number of gallons is 180, it means that
x + y = 180
Substituting x = 180 - y into equation 1, it becomes
0.2(180 - y) + 0.5y = 72
36 - 0.2y + 0.5y = 72
- 0.2y + 0.5y = 72 - 36
0.3y = 36
y = 36/0.3
y = 120
x = 180 - y = 180 - 120
x = 60
Answer:
![h(x) = 57(0.8)^x](https://tex.z-dn.net/?f=h%28x%29%20%3D%2057%280.8%29%5Ex)
Step-by-step explanation:
Given
![f(x) = 32(0.8)^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%2032%280.8%29%5Ex)
![g(x) = 25(0.8)^x](https://tex.z-dn.net/?f=g%28x%29%20%3D%2025%280.8%29%5Ex)
Required
A function that represents the total resale value of the two vehicles
To do this, we simply add up the functions
![h(x) = f(x) + g(x)](https://tex.z-dn.net/?f=h%28x%29%20%3D%20f%28x%29%20%2B%20g%28x%29)
![h(x) = 32(0.8)^x + 25(0.8)^x](https://tex.z-dn.net/?f=h%28x%29%20%3D%2032%280.8%29%5Ex%20%2B%2025%280.8%29%5Ex)
Factorize
![h(x) = (32 + 25)(0.8)^x](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%2832%20%2B%2025%29%280.8%29%5Ex)
![h(x) = 57(0.8)^x](https://tex.z-dn.net/?f=h%28x%29%20%3D%2057%280.8%29%5Ex)