A cellular phone company offers several different service options. One option, for people who plan on using the phone only in em
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The common factor of given terms is x/8, which is given in option B.
<h3>What is factor?</h3>A factor is a number that divides another number, leaving no remainder.
Here, given terms are:
and
Now, factors of 5x/8 = 5 X 1/8 X (x)
factors of 11x/8 = 11 X 1/8 X (x)
So, common factors are 1/8 and x
Thus, the common factor of given terms is x/8, which is given in option B.
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The correct option D; models the depth of the submarine.
<h3>Define the term parabola?</h3>- Parabola, also known as an open curve or conic section, is formed when a right circular cone and a plane perpendicular to one of the cone's elements cross.
When a submarine is x miles out of its launch place, we need to figure out which table best represents the depth of the submarine using the function d, wherein d(x) is the depth, in meters.
Both x = 5 as well as x = 40 have zeros.
Since it's a parabola,
D(x) = a(x-5)(x-40)
vertex = (22.5, -146)
Thus,
-146 = a(22.5-5)(22.5-40)
a = -146/(22.5-5)(22.5-40)
a = 0.4767
Put value of a in equation.
D(x) = a(x-5)(x-40)
D(x) = 0.4767(x-5)(x-40)
The equation above is quadratic function model.
We can see from the graph that:
(5) and (0), respectively, are points on the graph (40,0).
Consequently, if x = 5 when y = 0, then.
y(min) > -160.
Additionally, the table in option (D) represents the submarine's depth.
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The graph of the question with the options are attached.
