Answer:
.85p + 1.45m <= 14
Step-by-step explanation:
You don't want to spend more than 14, but you can spend 14. So the inequality must be less than or equal to. To find the combination of pencils and markers you must multiply their price times the number of pencils. Sorry if this explanation isn't amazing, I know how to do work but not explain my reasoning. :)
In simple words, the inverse function is obtained by swapping the (x, y) of the ... For example, to check if f(x) = 3x + 5 is one to one function given, f(a) = 3a + 5 and f(b) ... –9)}? Function h is not one to one because the y- value of –9 appears more than once. ... (2x − 1) [(4 + 5x)/ (2x − 1) + 4]/ [2(4 + 5x)/ (2x − 1) − 5] (2x − 1).
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:
It would take Abigail six days to read 32,400 words of a book if she were to read 30 minutes per day.
Step-by-step explanation:
If Abigail reads 180 words per minute, and she reads 30 minutes per day, we need to multiply 180 by 30 to figure out how many words she reads per day.
180 × 30 = 5,400
Abigail reads 5,400 words per day.
Then, we divide 32,400 by 5,400 to figure out how many days it would take Abigail to read 32,400 words.
32,400 ÷ 5,400 = 6
It would take Abigail six days to read 32,400 days.
Hope that helped!
