Given the figures are similar, calculate the length of US
1 answer:
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Call the weights of the two dogs 
and 
.
We know that Tripp weights 35lbs more than Rico, or:
We also know that the total weight of both dogs is 49lbs.:
Now, by substitution:
Rico weighs 7lbs.
Then:
Tripp weighs 42lbs.
To check our work:
CHECK!
We know that Tripp weights 35lbs more than Rico, or:
We also know that the total weight of both dogs is 49lbs.:
Now, by substitution:
Rico weighs 7lbs.
Then:
Tripp weighs 42lbs.
To check our work:
Answer:
(-5, 0) ∪ (5, ∞)
Step-by-step explanation:
I find a graph convenient for this purpose. (See below)
__
When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...
f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)
This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).
