The model represents a polynomial and its factors.

An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled + x and 3 are labeled negative. 2 tiles are in the Factor 2 spot: 1 is labeled + x and 1 is labeled negative. 8 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, and 3 are labeled +.
Which equation is represented by the model?

x2 – 2x – 3 = (x – 3)(x + 1)
x2 – 4x + 3 = (x – 3)(x – 1)
x2 + 2x + 3 = (x + 3)(x – 1)
x2 + 4x – 3 = (x + 3)(x + 1)
HELPPP

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.

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.