Step-by-step explanation:
x = -2
x = -8
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Answer:
(the pic)
Step-by-step explanation:
I used a link
Answer:
The highest altitude that the object reaches is 576 feet.
Step-by-step explanation:
The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be
, the first and second derivatives are, respectively:
First Derivative

Second Derivative

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:


(Critical value)
The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:


The highest altitude that the object reaches is 576 feet.
Answer:
Step-by-step explanation:
<u>Let the price before tax be x, then we have:</u>
- x + 8% = 372.60
- x + 0.08x = 372.60
- 1.08x = 372.60
- x = 372.60 / 1.08
- x = 345
The initial price was $345
Answer:
(3, -3)
Step-by-step explanation:
The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0). Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right. Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down. Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).