Will name the brainliest!
1 answer:
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Answer:
They are only equal on day 0, both having 10 population.
Step-by-step explanation:
Given the bacteria on the counter is initially measured at 5 and doubles every 3 days we can generate the following geometric equation:
Given the bacteria on the stove is measured at 10 and doubles every 4 days we can create another equation:
To find how many days it will take for the bacteria population to equal the same lets set both equations equal to eachother:
Divide both sides by 10
Since both exponents have the same base we can set the exponents equal to eachother and solve for x:
Multiply both sides by 3 to isolate x on the left side
Multiply both sides by 4 to remove fraction
Subtract 3x to isolate x on the left side
Plug x into one of our original equations
Solve
Answer:
a² = b² -w² +2wx
Step-by-step explanation:
The algebra is pretty straightforward. Expand the expression in parentheses and add x².
b² -(w -x)² = e² = a² -x²
b² -(w² -2wx +x²) = a² -x² . . . . . expand the square
b² -w² +2wx -x² = a² -x² . . . . . . distribute the minus sign
b² -w² +2wx = a² . . . . . . . . . . . . add x²
