When multiplying two binomials, you must multiply each term in the first binomial by each term in the second binomial. Then you add each of the products together to evaluate the expression. You can visualize this series of multiplication and addition with this formula: (x + y)(a + b) = xa + xb + ya + yb. This is known as the distributive property of multiplication over addition.

Which of these correctly evaluates the expression (c + d)(e +f)?

A. ce + cf + de + df
B. cd + ef + cd + ef
C. cd x ef
D. cd^2+ ce + ef

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?

Which shows how to solve the equation 3/4x=6 for x in one step?

Ameteorologist is studying the monthly rainfall in a section of the brazilian rainforest. she recorded the monthly rainfall, in inches, for last year. they were: 10.4, 10.3, 11.7, 11.1, 8.0, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5 fill in the missing values in the formula. what is the variance?