For what values of x is the rational expression below undefined? Cheack all that apply x+8 over x2- 2x- 24
2 answers:
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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.
To know more about the parabola, here
#SPJ4
The graph of the question with the options are attached.
Answer:
Step-by-step explanation:
The formula of the volume of a cube is where "a" would correspond to the length of an edge/side/height/etc.
If we insert our value into the formula, we get the following result:
Hope it helped,
BiologiaMagister
Answer:
Step-by-step explanation:
We have:
And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:
Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:
Zero Product Property:
On the left, subtract 5.
On the right, add 1.
So, our zeros are:
Since our inequality is a <em>greater than</em>, our answer is an "or" inequality with our answer being all the values to the <em>left</em> of our lesser zero and all the values to the <em>right </em>of our greater zero.
So, our solution is:
And we're done!