solve the equation by completing the square: x^2-3x-18=0. after completing the square, the equation will be and the solution is

1) x²-3x+9/4 = 81/4

2) x = 6, -3

Step-by-step explanation:

x²-3x-18=0

x²-3x=18

(b/2)² = (-3/2)² = 9/4; completing the square

x²-3x+9/4 = 18+9/4

(x-3/2)(x-3/2) = 81/4

x - 3/2 = ± 9/2

x = 3/2 ± 9/2

x = 6, -3

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies