4 ? 10 9 22 Do these two ratios form a proportion
1 answer:
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Answer:
1) They are not inverses
2) They are inverses
Step-by-step explanation:
We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.
<u>1)</u>
<u>Let's find f[g(x)] and simplify.</u>
As f[g(x)] is not equal to x, these functions are not inverses.
2)
<u>Let's find f[g(x)] and simplify.</u>
Now, we need to find the other composition function g[f(x)]
<u>Let's find g[f(x)] and simplify.</u>
Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.
I hope it helps you!
Answer:
5 seconds
1220 ft
Step-by-step explanation:
Step 1: Know when the stone reaches the maximum height
We know the maximum or minimum height of a parabola is at the vertex so we need to find the vertex
Step 2: Calculate the vertex
The t coordinate of the vertex can be calculated with
b = 160
a = 16
Step 3: We know the t coordinate we can find the height at that time
Therefore the stone reaches its maximum height of 1220 ft in 5 secs
Answer: The least common multiple of 4 and 6 is 12 because this is the smallest positive integer that is divisible by both 4 and 6.
Step-by-step explanation:
- The least common multiple of two integers m and n is the least positive integer that is divisible by both m and n.
We are given that :
The first five multiples for the numbers 4 and 6 are shown below.
We can see that from the multiples of 4 and 6 , the least common multiple of 4 and 6 =12 such that 12 is divisible by 4 and 6 .