Step-by-step explanation:
The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,
![\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdt%7D%5Bx%28t%29%5D%20%3D%20%5Cdot%7Bx%7D%28t%29%20%3D%200)
Since
its derivative is

Equating this to zero, we get

This is a familiar quadratic equation whose roots are




This means that the particle will be at rest at t = 3 and t= 4.
1) 5x-1=x+115
5x-x=115+1
4x=116
x=116/4
x=29 (Answer)
2) 3+5q=9+4q
5q-4q=9-3
q=6 (Answer)
3) 2b+4=-18-9b
2b+9b=-18-4
11b=-22
b=-22/11
b=-2 (Answer)
Hope this helps
Answer:
Slope intercept form:
<em>y = mx + b</em>
What we are given:
49x - 21y = -1,470
we need to keep y on the left side so we subtract 49x from both sides;
-49x -49x
-21y = -49x - 1,470
we need to make y one so we divide by -21 from both sides;
÷-21 ÷-21
y = -49x/-21 - 70
which simplifies to
y = 7x/3 - 70
Answer: No size doesn't matter it is all about what is on the inside.
Step-by-step explanation: