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lisabon 2012 [21]
2 years ago
12

How do you solve #3? The one that is incorrect.

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
7 0
Infinite they’re all multiples, so they are the same line
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Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.
il63 [147K]

Answer:

The minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

Step-by-step explanation:

Given function is f(x) = 0.15(x + 1)^2 - 3

We need to find the maximum value or the minimum value for the function.

Now, differentiate f(x) = 0.15(x + 1)^2 - 3  w.r.t x.

f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\

f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)

Now, we will equate f'(x)=0 to find critical point.

0.3(x+1)=0\\x=-1

Plug this critical point in to the function f(x) = 0.15(x + 1)^2 - 3  we get,

f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3

Also, f''(x)=0.3 which is positive, We have minimum value.

So, the minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

7 0
3 years ago
Determine the slope of the line.
andrew11 [14]

Answer:

what line?

Step-by-step explanation:

4 0
3 years ago
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Find the value
Vaselesa [24]

Answer:

cosC = BC/AC

\cos(c)  =  \frac{15}{39}

4 0
3 years ago
A motorboat takes 3 hours to travel 108 going upstream. The return trip takes 2 hours going downstream. What is the rate of the
Natalija [7]
Let s and c be the rate of the boat in still water and the rate of the current, respectively. Then:
108/s-c=3
108/s+c=2
3s-3c=108
2s+2c=108
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4 0
3 years ago
PLEASE HELP!! Only answer if you are sure though.
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Answer:

6x

Step-by-step explanation:

Product means to multiply

3 0
3 years ago
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