Answer:
Expand the polynomial using the FOIL method.
x2-5x+6
Step-by-step explanation:
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Answer:
65 years old.
Step-by-step explanation:
If her age is 10 t + u (where t is the tens digit and u is the units digit) then reversing the digits gives 10 u + t. and the sum is 11 t + 11 u, which is a multiple of 11. We know this has to be a square number. Ong Xing Cong from Singapore sent in the following solution.
11 t + 11 u = 11 x 11 = 121
t + u = 11
65 - 56 = 3 x 3
She is 65 years old.
The best solutions do not need trial and improvement methods and they show that the answer or answers found are the only possible answers. Knowing the digits add up to 11 ( t + u = 11), you can also use (10 t + u ) - (10 u + t ) = 9 t - 9 u = 9( t - u ) As this is also a square number you know ( t - u ) is either 1, 4, or 9. The solutions for 4 and 9 don't give whole number values for t in 0  t  9.
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Answer:
The hourly growth rate is of 4.43%.
The function showing the number of bacteria after t hours is
Step-by-step explanation:
Equation of population growth:
The equation for the population after t hours is given by:
In which P(0) is the initial population and r is the growth rate, as a decimal.
The conditions are such that the number of bacteria is able to double every 16 hours.
This means that . We use this to find r.
The hourly growth rate is of 4.43%.
80 bacteria are placed in a petri dish.
This means that .
The function showing the number of bacteria after t hours is
Answer:
Add 3y to both sides of the equation.
x=−2+3y
x+3y=16
Replace all occurrences of x with −2+3y in each equation.
−2+6y=16
x=−2+3y
Solve for y in the first equation.
y=3
x=−2+3y
Replace all occurrences of y with 3 in each equation.
x=7, y=3
The solution to the system is the complete set of ordered pairs that are valid solutions. ( 7 , 3 )
The result can be shown in multiple forms. Point Form: ( 7, 3 )
Equation Form: x=7, y=3
Step-by-step explanation: