High-definition (HD) televisions today have a 16:9 aspect ratio (width to height). The advertised screen size is equal to the screen diagonal.

Allowing for 2 inches of Styrofoam padding on all sides of the TV, what is the smallest possible length and width of a shipping box for a 75-inch HD TV?

x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

so

x^6

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.