Correct answer only !

the graph of the function f(x) = x^3 – 7x – 6 intersects the x-axis at the points (–2, 0), (–1, 0), and (3, 0) as shown.

which expression is equivalent to x^3 – 7x – 6?

 D) (x + 1))x + 2)(x - 3)

Step-by-step explanation:

The x-intercepts help us to form the equation of the curve:

           (-2, 0)            (-1, 0)             and (3, 0)

-->  x = -2,            x = -1,                    x = 3

--> x + 2 = 0         x + 1 = 0               x - 3 = 0

--> (x + 2)       ×     (x + 1)          ×       (x - 3) = 0

This is the reverse order for the Zero Product Property

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted