Answer:
The speed of the car is 42 miles per hour
Step-by-step explanation:
Step 1:
(Blank) x s = (Blank)
Let us evaluate this. Something times s miles per hour is going to gives us? 126 miles. So, our second blank would be 126 since that's our total:
(Blank) x s = 126
Step 2:
On the other hand, our first blank would be 3. Why? Because that's the amount of time it takes us to go 126 multiplied by s miles per hour; Our new equation is:
3 x s = 126
Step 3:
We can simplify this equation to:
3s = 126
Step 4:
We now have a one step equation. Divide each side by 3 to get s by itself.
Step 5:
We end up getting:
s = 42
That means that the car is traveling at 42 miles per hour. If the car continues at that rate for 3 hours, the car would have traveled 126 miles.
Hope this helps!
Rule: second differences are 2.
Selection C is appropriate.
_____
First differences are the sequence of differences of the given numbers:
.. 3 -8 = -5
.. 0 -3 = -3
.. -1 -0 = -1
.. 0 -(-1) = 1
Second differences are the sequence of differences of these:
.. -3 -(-5) = 2
.. -1 -(-3) = 2
.. 1 -(-1) = 2
All of these are 2, so the sequence can be described by a *second* order polynomial (because *second* differences are a non-zero constant).
Step-by-step explanation:
Do 4 1/4+ 3 1/3= 7 3/4
11- 7 3/4= 3 1/4
Hope this helped. Thank me later.
Here is
the solution for this specific problem:
<span>Based from the graph,
the curve will intersect itself at the y-axis, i.e. x = 0. </span><span>
</span><span>t^3 - 6t = 0 </span><span>
<span>t(t^2 -
6) = 0 </span>
<span>t = 0 or
t = ± √6 </span>
<span>dx/dt =
3t^2 - 6 </span>
<span>dy/dt =
2t </span>
<span>dy/dx =
2t/(3t^2 - 6) </span>
<span>@ t = 0,
dy/dx = 0. </span>
<span>x = 0, y
= 0 </span>
<span>y = 0 </span>
<span>@ t = √6,
dy/dx = 2√6/12 = √6/6 </span>
<span>x = 0, y
= 6 </span>
<span>y - 6 =
(√6/6) x </span>
<span>y =
(√6/6)x + 6 </span>
<span>@ t =
-√6, dy/dx = -2√6/12 = -√6/6 </span>
<span>x = 0, y
= 6 </span>
<span>y - 6 =
(-√6/6) x </span>
y = (-√6/6)x
+ 6</span>
So the equations of the tangent
line at the point where the curve crosses itself are: <span>y = (√6/6)x + 6 and
</span>y = (-√6/6)x + 6. I am hoping that these answers have
satisfied your queries and it will be able to help you in your endeavors, and
if you would like, feel free to ask another question.
