2 years ago

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 $-3$ .

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3 years ago

Determine the slope of the line.

andrew11 [14]

Answer:

what line?

Step-by-step explanation:

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3 years ago

Read 2 more answers

Find the value

Vaselesa [24]

Answer:

cosC = BC/AC

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

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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
Solve for s and c
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3 years ago

PLEASE HELP!! Only answer if you are sure though.

brilliants [131]

Answer:

Step-by-step explanation:

Product means to multiply

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3 years ago