Rewrite the function by completing the square. f(x)= x^{2} + x -30f(x)=x 2 +x−30f, left parenthesis, x, right parenthesis, equals, x, squared, plus, x, minus, 30 f(x)=f(x)=f, left parenthesis, x, right parenthesis, equals (x+(x+left parenthesis, x, plus )^2+) 2 +right parenthesis, squared, plus

Step-by-step explanation:

To re-write the function by completing the square, the procedure is to first

(i)take the coefficient of x

(ii)Divide it by 2 and Square it

Coefficient of x=1

Divided by 2 = 1/2

Square of 1/2 =

Next, we add it to the function and subtract same so that the equation remains balanced

Pick each of the squared term and square the sum

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,