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+t=90 (or bb + tt = 90 ignore if this was a mistake)
If we know that 90 is an absolute total, that will go behind the equal sign
?=90;
We know that we can make any mixture of burritos or tacos, but they have to equal up to ninety. As you stated bb= burritos and tt= tacos. (If that is a mistake, instead of putting bb or tt, just put the single letter b or t)
This means our equation would have to have a certain number times burritos and a certain number times tacos that equal 90.
Our equation should look a little like this
(number of burritos ) + (number of tacos) = 90
b + t =90 or with your values bb+tt=90
HOPE THIS HELPS & GOOD LUCK
wish someone would answer it...
The total number of calories for 18 cups of milk is 1620 calories.
If two cups of milk is 180 calories then divide 180/2 to find the unit rate.
Then multiply 90 by the number of cups (18) and then you get the total number of calories for that many drinks.
Step-by-step explanation:
we can add the fractions 5/12 and 6/12 to make 11/12
