Answer:

Step-by-step explanation:
Remember that the range is the set of all y-values. Thus, since the minimum of the function is y=-1, then our range is
. In interval notation, we use brackets to show what's included and parentheses to show what's not included.
Answer:

Step-by-step explanation:
we know that
To find out how many frames she can make with the exiting material, divide 1 5/8 by 3/4
so

Convert mixed number to an improper fraction

substitute

Simplify

Convert to mixed number

As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)