The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.
We'll take log of each side.
Log of what base tho?
Well, the base of our exponential is e,
so we'll take log base e of each side.
We'll apply one of our log rules next:
This allows us to take the exponent out of the log,
Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
So our equation simplifies to this,
As a final step, divide both sides by 3,
k, hope that helps!
45 fish
1 L = 1,000 mL
180(1,000) = 180,000
180 L = 180,000 mL
180,000/4,000 = 45
Let's start with y = 4x + b (since 4 is the slope);
We need to find what number should be put instead of b;
Then, let's see what needs to be done;
Plug in the y and x values from the coordinate (22,12) into y=4x+b;
12 = 4(22) + b
Solve;
12 = 88 + b
12 - 88 = b
b = -76
Remember the equation y = 4x + b? Put the -76 instead of b:
y = 4x + -76
or: y = 4x - 76
That is the equation.
To make it standard form, put x and y both in the left side, with x first then y:
-4x + y = -76
^^Answer!
Answer:
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