1. Algebraic fractions are fractions that contain variables, exponents, and operations with polynomials.
2. To add and subtract with fractions, the denominators must be the same.
To add or subtract algebraic fractions, first we find the lowest common multiple of the denominators. Then we express all the fractions in terms of the LCD. And then we simplify the numerators.
Given the function, P = 22x - 1200, be the model determining the profit of Henry's new business. Now, the lowest amount that P could generate would be when Henry does not sell any shirt. This gives x a value of 0 and P = 0 - 1200 = -1200.
Now, he can get the highest profit when he gets to sell all of the 600 shirts. Thus, we have x = 600 and P = 22(600) - 1200 = 12000.
Since the minimum and maximum values of P are -1200 and 12000, then the range of P would be {-1200 ≤ p ≤ 12000}.
These rates are not in proportion. Juan walked faster.
Explanation:
First, we want to make these ratios to have the same denominator so we can compare the numerators. To do this, do 3x5 and 8x5 to get 40:15. Then, we do 5x3 and 14x3 to get 42:15. Now we can just compare the numbers 40 and 42, and since 42 < 40, we know Juan walked faster.
