Answer:
E
Step-by-step explanation:
We are given that a particle's position along the x-axis at time <em>t </em>is modeled by:
And we want to determine at which time(s) <em>t</em> is the particle at rest.
If the particle is at rest, this suggests that its velocity at that time is 0.
Since are we given the position function, we can differentiate it to find the velocity function.
So, by differentiating both sides with respect to <em>t</em>, we acquire:
![\displaystyle x^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-21t^2+72t-53\big]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E%5Cprime%28t%29%3Dv%28t%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cbig%5B2t%5E3-21t%5E2%2B72t-53%5Cbig%5D)
Differentiate. So, our velocity function is:
So, we will set the velocity to 0 and solve for <em>t</em>. Hence:
We can divide both sides by 6:
Factoring yields:
By the Zero Product Property:
Hence:
Therefore, at the 3rd and 4th seconds, the velocity of the particle is 0, impling that the particle is at rest.
Our answer is E.
Answer:
domain is all real numbers the range is all real numbers greater thanzero
Step-by-step explanation:
hope this helps may I have brainliest plz
Answer:
<h2>y - 4 = -2(x - 6) or y - 2 = -2(x - 7)</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
The formula of a slope:
We have the points (6, 4) and (7, 2). Substitute:
Using the first point
Using the second point
We are given with the expression 3/a - 9b = y and is asked to simplify the given equation. in this case, the first step is to multiply both terms with a. this results to 3 - 9 ab. = ay Since the two terms have different variables, this is the simplified form. the answer is <span>3 - 9 ab = ay </span>
Answer:
x is the retail price
b/x 35/100 and cross multiply?
or 100b/35x
(this is the only thing i can think of)
Step-by-step explanation:
