Using the completing-the-square method, find the vertex of the function f(x) = –2x2 + 12x + 5 and indicate whether it is a minimum or a maximum and at what point.. .

Answers

Answer 1

Answer: f ( x ) = - 2 x² + 12 x + 5 = - 2 ( x² - 6 x ) + 5 = - 2 ( x² - 6 x + 9 - 9 ) + 5 =
- 2 ( x² - 6 x + 9 ) + 18 + 5 = - 2 ( x - 3 )² + 23
f ( x ) = a ( x - k )² + h ( the vertex form ), k = 3, h = 23.
a = - 2 < 0, that means the vertex coordinates ( 3, 23 ) represents a maximum.

Answer 2

Answer:

Answer:

3,23 maximum

Step-by-step explanation:

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11.68 - 0.48 ÷ (-1.6) =

Answers

The answer to your question is 11.98!

Answer:

11.98

Step-by-step explanation:

First according to the order of operations, you do the division first -0.48 divided by -1.6 which is 0.3 then we subtract 11.68+0.3 which is 11.98

Hope this is helpful and detailed

A bottle of iron supplement has 45g of iron in 330ml of solution. How many grams of iron are in100ml of solution?

Answers

Answer:

45 * 100 / 330 = amount in 100 ml of solution

13.6363636364 grams

Step-by-step explanation:

If the green spinner is spun and then the purple spinner is spun, creating a two-digit number, what is the probability that the resulting number will be 14 or less

Answers

i think a picture should be provided to get more insight on this question

Emily wants to make a regtangular model with a height of one connecting cube. she wants to make the model in exactly 2 different ways. how many connecting cubes could Emily use to make the model in only 2 ways. A6, B12, C16, D18

Answers

A 6, because it can be 6x1x1 or 3x2x1

Choosing a 4-letter password using only 5 letters that may each be used more than once.

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Wait a password with 4 letters using only 5? And the letters can be used more than once. I’m confused

How’s that even a question?

Please help. This is Linear systems. If anyone knows how to do it helppp

Answers

Answer:

The given system of linear equations has infinite many solutions.

Step-by-step explanation:

Given equations are

σ-2ζ=3 eqn 1

4σ-8ζ=12 eqn 2

We will use elimination method to solve the linear system

Multiplying equation 1 by 4

4(σ-2ζ) = 4(3)

4σ-8ζ=12

We can see that the both equations in the system are same i.e. we get the same equations by simplifying the equations. The graph of both equations will overlap completely.

This means that the system has infinite many solutions.

Hence,

The given system of linear equations has infinite many solutions.

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