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2 years ago

I'm confused on what the inequality is

Mathematics

1 answer:

andreev551 [17]2 years ago

7 0

Two values that are not equal have an relationship

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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

Evaluate the expression:<br> 3x + 2y when X=10 and y=4

sveta [45]

Answer:

Step-by-step explanation:

3x + 2y when X=10 and y=4

3(10) + 2(4)

30 + 8

5 0

3 years ago

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Can you please help me with an equation

kompoz [17]

What’s the equation?

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3 years ago

Two rays that meet at the same point

jarptica [38.1K]

Answer:A part of a line-it has one endpoint and continues on and on in only one direction. Angle. Formed by two rays that have the same endpoint.

Step-by-step explanation:

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3 years ago

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Please help me with this - its about percent changes

Serhud [2]

Answer:

110.06

Step-by-step explanation:

Make a ratio: 95.20 / x = 86.5 / 100 (86.5 = 100% - 13.5%)

Cross multiply: 95.20 x 100 = 86.5x

9520 = 86.5x

110.06 = x

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2 years ago