1. x >= 4, because 4 is dotted, and that means that 4 is included
2. x =/ 4, the third answer is correct, because all numbers except 4 are included
3. the first number line is the correct answer, because -3 is not included
4. the second number line is the correct answer, because -1 is included
5. the second number line is the correct answer, because 6 is not included
6. the first number line is the correct answer, because 0 is included
7. the second number line is the correct answer, because all numbers except -4 are included
8. the third number line is the correct answer, because -1,5 is included
When a number is included in an interval, it should have full dot on the number line, so that's how you know.
Hope this helps!
Answer:
P = t - f
Step-by-step explanation:
First we need to find how many pages in total she needs so 1,000/80 - 12.5 so 13 pages. Then 380/80 4.75 of a page filled so subtract that from 12.5 to get 8 pages left to fill.
let p = pages left to fill
let T = total pages needed
let F = pages already filled
Answer:
kk
Step-by-step explanation:
ill be your friend
Answer:
Length = 20.49 yards and Width = 12.49 yards.
Step-by-step explanation:
The area of the rectangular playground is given by 256 yards square. It is also known that one of the sides of the playground is 8 yards longer than the other side. Therefore, let the smaller side by x yards. Then the longer side will be (x+8) yards. The area of the rectangle is given by:
Area of the rectangle = length * width.
256 = x*(x+8)
x^2 + 8x = 256. Applying the completing the square method gives:
(x)^2 + 2(x)(4) + (4)^2 = 256 + 16
(x+4)^2 = 272. Taking square root on both sides gives:
x+4 = 16.49 or x+4 = -16.49 (to the nearest 2 decimal places).
x = 12.49 or x = -20.49.
Since length cannot be negative, therefore x = 12.49 yards.
Since smaller side = x yards, thus smaller side = 12.49 yards.
Since larger side = (x+8) yards, thus larger side = 12.49+8 = 20.49 yards.
Thus, the length and the width to minimize the perimeter of fencing is 20.49 yards and 12.49 yards respectively!!!
