2(x + 3)^2 = 50
1 answer:
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Answer:
He can buy <u>3 bracelets</u>.
Step-by-step explanation:
Given:
Mr. Gonzales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each including tax.
Now, to find the number of bracelets he can buy.
Let the number of bracelets he can buy be
Price of each bracelets = 4.50.
Total amount to spend = 42.50.
Number of t-shirts = 29.
Now, to get the number of bracelets we put an equation:
<em>Subtracting both sides by 29 we get:</em>
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<em>Dividing both sides by 4.50 we get:</em>
<u>The number of bracelets = 3.</u>
Therefore, he can buy 3 bracelets.
Answer:
N(1)=50 is a minimum
N(15)=4391.7 is a maximum
Step-by-step explanation:
<u>Extrema values of functions </u>
If the first and second derivative of a function f exists, then f'(a)=0 will produce values for a called critical points. If a is a critical point and f''(a) is negative, then x=a is a local maximum, if f''(a) is positive, then x=a is a local minimum.
We are given a function (corrected)
(a)
First, we take its derivative
Solve N'(t)=0
Simplifying
Solving for t
Only t=1 belongs to the valid interval
Taking the second derivative
Which is always positive, so t=1 is a minimum
(b)
N(1)=50 is a minimum
(c) Since no local maximum can be found, we test for the endpoints. t=1 was already determined as a minimum, we take t=15
(d)
N(15)=4391.7 is a maximum