Find the average rate of change over the given interval f(x)=3^x,[1,4]
1 answer:
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<u>Answer-</u>
Set of constraints to model the problem are,
<u>Solution-</u>
<em>x = the number of lawns weeded by Gwen,</em>
<em>y = the number of dogs walked by Fabio.</em>
1.
As, Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,
They need at least $510 to purchase the new gaming station, means they need $510 or more than $510.
The equation for this is,
2.
The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means
y must be less than or equal to 2x.
The equation for this is,
3.
Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.
The equation for this is,
Answer:
4989600
Step-by-step explanation:
The given word is MATHEMATICS
Number of letters in the given word is 11
there are 2 M's, 2 A's and 2 T's
the given word is arranged in 11! ways
three letters are repeating, so we divide by repeating occurrences
number of different arrangements =
= 4989600