Help me with my homework
1 answer:
Answer:
a.
b. $37.50
Step-by-step explanation:
To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays: . We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:
Now, we can solve.
First, we can multiply by 5 on both sides to get:
47.5 = x + 10
And then subtract 10:
x = 37.5
This means the bill before the tip was $37.50
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Answer:
To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and
Step-by-step explanation:
Data provided in the question
f(x) = e^2x - 4
Now
to find the inverse let
So,
y = e^2x - 4
Now
Replace x and y
Therefore
x = e^2y - 4
Now compute the value of y
So,
x + 4 = e^2y
Now take ln on both sides:
The equation is
ln(x+4) = ln(e^2y)
ln(x+4) = 2y
y = ln(x+4) ÷ 2
Therefore, To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and