Answer:
Step-by-step explanation:
Given
Zions has legs
And zepts has legs
Nico counted legs in total
Therefore total no of legs must be the sum of the legs of Zions and zepts
Suppose there are no of Zions and no of zepts
therefore total no of legs is given by
The set of and which satisfy the above equation is
Thus there are three possible answer
Pythagorean Theorem, where a^2+b^2=c^2. Just plugging in the numbers:
200^2 + 125^2=C^2
40,000 + 15,625=C^2
55,625=C^2
Then just take the square root
C=235.8495
If the number needs to be rounded then 236 meters.
Answer:
Show that if for some where , then by Rolle's Theorem for some . However, no such exists since for all .
Note that Rolle's Theorem alone does not give the exact value of the root. Neither does this theorem guarantee that a root exists in this interval.
Step-by-step explanation:
The function is continuous and differentiable over . By Rolle's Theorem. if for some where , then there would exist such that .
Assume by contradiction does have more than one roots over . Let and be (two of the) roots, such that . Notice that just as Rolle's Theorem requires. Thus- by Rolle's Theorem- there would exist such that .
However, no such could exist. Notice that , which is a parabola opening upwards. The only zeros of are and .
However, neither nor are included in the open interval . Additionally, , meaning that is a subset of the open interval . Thus, neither zero would be in the subset . In other words, there is no such that . Contradiction.
Hence, has at most one root over the interval .
Answer:
a.
d.
Step-by-step explanation:
Other answer choices would not work. y= means you can substitute what y= into the opposite equation for "y."