Latest Releases Depot rents DVD/Blue ray for $3.00 each and has no membership fee. Video for You rents DVD/Blue rays for $2 each but has a membership fee of $15.

15 rentals

Step-by-step explanation:

Latest Releases Depot

rent = $3 per DVD

membership= free

let the number of DVD be x

let the expression for the total be

y= 3x1

Video for You

rent= $2  per DVD

membership= $15

let the number of DVD be x

let the expression for the total be

y= 15+2x2

equate 1 and 2

3x=15+2x

collect like terms

3x-2x=15

x= 15

Hence the number of DVDs needed for the two rentals to have the same amount is at least 15 rentals

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180