Answer: -6x² + 15x + 5
Step-by-step explanation:
To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.
Step 1: f(x) = -3(2x² - 5x - 1) + 2
Step 2: Apply the distributive property
-3(2x²) + -3(-5x) + -3(-1)
-6x² + 15x + 3
Step 3: Simplify
f(x) = -6x² + 15x + 3 + 2
f(x) = -6x² + 15x + 5
A third are spotted so that would mean 2/3 are not spotted so if you take 1200 divide it by 3 and then multiply it by 2 you get 800 which is your answer
Answer:
1 / 3^5
1/ 243
Step-by-step explanation:
3^4 ÷ 3^9
We know that a^b ÷ a^c = a^ ( b-c)
3 ^ ( 4-9)
3^ -5
We can rewrite this as a^-b = 1/ a^b
1 / 3^5
We know that 3^5 = 243
1/ 243
9514 1404 393
Answer:
The pool is being filled
Step-by-step explanation:
The function definition tells you ...
f(5) = the volume of water in the pool 5 minutes after they start
f(10) = the volume of water in the pool 10 minutes after they start
So, the inequality ...
f(5) < f(10)
means the volume of water in the pool 10 minutes after they start is greater than it is 5 minutes after they start. In short, <em>they are filling the pool</em>.