A rubber bouncy ball is bouncing up and down such that the ball's distance, d, in feet above the ground is given by the inequality Which of the following graphs shows all the possible distances?

Option D.

Step-by-step explanation:

We have the inequality:

Id - 3.5I ≤ 1.5

remember that : IxI < d means that:

-d < x  < d

Now let's find the possible values of d, breaking the absolute value we have that:

-1.5 ≤ d - 3.5 ≤ 1.5

adding 3.5 in each part, we have:

-1.5 + 3.5 ≤ d - 3.5 + 3.5 ≤ 1.5 + 3.5

2 ≤ d ≤ 5

Then d can be any value in the set [2, 5]

Then the correct graph is D, because the purple line starts at 2, and ends at 5.

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet