Linear Functions and Quadratic Functions

Linear Functions and Quadratic Functions

2. Second step is to subtract both sides by 9: x + 9 - 9 = 12 - 9x = 33. Check your work with the original equation: 3 + 32 = 123 + 9 = 1212 = 12

1. First step is to square the number: x + 32 = 12x + 9 = 12

Find x if: x + 32 = 12 Note: since the square is on the number and not on the variable,the expression qualifies as a linear expression

Problem 1) A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation of the line that represents this cab company's rate?

At how many mnutes do both companies charge the same amount? 10 minutes

given function f(x) = -2x2 + 4x + 1 factor -2 out f(x) = -2(x2 - 2x) + 1 We now divide the coefficient of x which is -2 by 2 and that gives -1. f(x) = -2(x2 - 2x + (-1)2 - (-1)2) + 1 add and subtract (-1)2 within the parentheses f(x) = -2(x2 - 2x + (-1)2) + 2 + 1 group like terms and write in standard form f(x) = -2(x - 1)2 + 3 The above gives h = 1 and k = 3. h and k can also be found using the formulas for h and k obtained above. h = -b/2a = -4/(2*-2) = 1 k = c - b2/(4a) = 1 - 42/(4*-2) = 3 The vertex of the graph is at (1,3).

•A mobile provider charges a base rate of 40$ a month for service•The user is charged $.20 a minute for every minute usedY = .20X +40

When an object is thrown or projected, it follows a curved path called a trajectory. If we neglect air resistance, and assume that the object is fairly dense, and that the object is close to the earth's surface,