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1. Factor the expression 16x^2 minus 72xy+81y^2 into a product of binomials
2. Factor the expression 81a^2 minus 36ab+4b^2 into a product of binomials.
3. Use the "difference of squares" rule to factor the following expression:36-16y^2
4. The area of a rectangular athletic field is represented by the expression 12y^3+48y^2+24y square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense "length times width") of the athletic field. Include correct units with your solution.
Find the LCD for the following rational equation
For the function f defined by f(x)=6x/x^2+1, find the following vales (simplify each answer). Find the domain of the function: f(x)=sqrt25-x
Find equations for the horizontal and vertical asymptotes
Calculating the compound interest formula.
Find the conditional probability.
Use a growth rate of 1.5% to predict the population in 2073 of a country that in the year 2006 had a population of 300 million. Use the approximate doubling time formula.
Using laws of logarithms.
Probability of selecting letters.
A small town that grows exponentially can become a large city in just a few decades. Does not make sense because exponential growth leads to repeated halvings, making the population decrease rapidly.
Cargo planes carry freight and passengers in and out of McMurdo Station, Antarctica. Suppose that 57 flights flew to McMurdo Station in one year.
Calculate break even values.
Using factor method for the quadratic equation
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