It will take 24 minutes until all of them reach the start at the same time.
Race track principle says that if two functions are equal at <span>t=0</span>, then the one which has a greater derivative will be greater.
In this case we're comparing <span><span>f′</span>(t)</span> and <span><span>g′</span>(t)</span>. So we make sure that <span>g(0)=<span>f′</span>(0)</span> and that <span><span>f′′</span>(t)≥<span>g′</span>(t)
</span>
<span>g(t)=at+b</span>
Since it is a line.
<span><span>g′</span>(t)=a</span>
<span><span>f′′</span>(t)≥3≥<span>g′</span>(t)⟹3≥a</span>
So let <span>a=3</span>.
<span><span>f′</span>(0)=0=g(0)=3(0)+b⟹b=0
</span>So that means
<span>g(t)=3t
</span>Do something similar for <span>h(t)</span><span> starting with
</span><span>h(t)=a<span>t2</span>+bt+c
</span><span>h(0)=f(0)⟹c=0
</span>
So
<span>h</span><span>(</span><span>t</span><span>)</span><span>=</span><span>a</span><span>t2</span><span>+</span><span>b</span><span>t</span>
Answer:
y = Five-sixths x – 12
Step-by-step explanation:
In the picture attached, the given line is shown. Its slope is:
m = [6 - (-4)]/[12 - 0] = 5/6
The line that is parallel to the given line has the same slope.
A line with slope m that pass through (x1, y1) satisfies:
y - y1 = m(x - x1)
Replacing with m = 5/6 and point (12, -2):
y - (-2) = 5/6(x - 12)
y + 2 = 5/6x - 10
y = 5/6x - 10 - 2
y = 5/6x - 12
Answer:
i will answer you other if u rate me brainliest
