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g100num [7]
3 years ago
15

Combine the like terms to create an equivalent expression. \large{8r+7-6r-5}8r+7−6r−5

Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0

Answer:

2r+2

Step-by-step explanation:

8 r + 7 − 6 r − 5

 Subtract  6 r  from  8 r .

2 + 7 − 5  

Subtract  5  from  7 .

2 r + 2

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statuscvo [17]

The function's minimum value is -2 at x = 1

Step-by-step explanation:

Given function is:

y = 2x^2+4x

In order to find the maxima or minima of a function, first of all, we have to find the derivative of the function

So,

Taking derivatives on both sides

\frac{d}{dx}(y) = \frac{d}{dx} (2x^2-4x)\\\frac{dy}{dx} = \frac{d}{dx} (2x^2) - \frac{d}{dx} (4x)\\y' = 2 \frac{d}{dx} (x^2) - 4 \frac{d}{dx}(x)\\y' = 2 (2x) \frac{d}{dx}(x) - 4(1)\\y' = 4x (1) - 4\\y' = 4x - 4

We have to find the roots of first derivative

So,

4x-4 = 0\\4x = 4\\x = \frac{4}{4} \\x = 1

Taking second derivative

\frac{d}{dx} (y') = \frac{d}{dx} (4x-4)\\y'' = 4

We can see that the second derivative of the function is a constant so the function has a minima at x=1

For minimum value, putting x = 1 in the function

= 2(1)^2 - 4(1)\\= 2(1) - 4\\= 2-4\\= -2

The function's minimum value is -2 at x=1

Keywords: Functions, minimum value

Learn more about functions at:

  • brainly.com/question/9880052
  • brainly.com/question/9862781

#LearnwithBrainly

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