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:
B
Step-by-step explanation:
Range of the graph is the ALLOWED y-values. The y-axis is number of gallons left in tank. So, <u><em>it cannot be NEGATIVE number of gallons, so 0 is the lower limit of the range.</em></u>
<u><em /></u>
As we can see from the axis of the graph, we see where the line cuts the y-axis, that is the upper limit of number of gallons he starts off with. The y-intercept (y-axis cutting point) is 12.
So we can say that the range is 0 ≤ y ≤ 12
Correct answer is B
Answer:
I kind of dont understand the question but it seems like your saying multiply 4.15 x 5 and that is 20.75.
Step-by-step explanation:
Answer:
x=a(m/q)
a= x(q/m)
Step-by-step explanation:
we just has to invert the function to take expression to the other side of equality.
hope so you will understand.
Answer:
x = 2
Step-by-step explanation:
(6x+2)/(x+5) = 16/8
(6x+2)/(x+5) = 2
6x + 2 = 2x + 10
6x - 2x = 10 - 2
4x = 8
x = 8 : 4
x = 2
