What is the length of the segment of the number line consisting of the points that satisfy (x-4)^2 less than or equal to 9?

After you take the square root, you find

... |x - 4| ≤ 3

... -3 ≤ x-4 ≤ 3

Since the coefficient of x is 1, the length of the solution space is the difference between +3 and -3, which is 6.

The length of the segment is 6.

_____

Going the rest of the way to a solution for x by adding 4 to the above inequality does not alter the difference between the high value and the low value.

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40