The inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6
<h3>How to determine the inverse function?</h3>
The function is given as:
f(x) = 6x + 4
Rewrite as:
y = 6x + 4
Swap x and y
x = 6y + 4
Subtract 4 from both sides
6y = x - 4
Divide through by 6
y = (x - 4)/6
Rewrite as:
f^-1(x) = (x - 4)/6
Hence, the inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6
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Answer:2 whole sandwiches and 3/4 of another one
Step-by-step explanation:
Answer:
He'll have $195 left
Step-by-step explanation:
$35 x 3 = $105
$300 - $105 = $195
The actual amount that needs to be divided = 85
The ratio in which the amount needs to be divided = 2:3:5
Let us assume the common ratio to be = x
Then
2x + 3x + 5x = 85
10x = 85
x = 85/10
= 8.5
Then
The ratio in which the number 85 will be divided = 2 * 8.5:3 * 8.5:5 * 8.5
= 17:25.5:42.5
So from the above deduction we can see that the number 85 can be divided in the ratio 17:25.5:42.5
Answer:
Total Commission = $400
Step-by-step explanation:
Since total is $9000 (in sales) -- commision is 4% on the first $8000 and 8% in the additional part over $8000 (9000-8000=1000). So 8% on $1000.
<u>Total commission</u> = 4% of 8000 + 8% of 1000
= (0.04)(8000) + (0.08)(1000)
= 400
Total Commission is $400
