The function f is given in three equivalent forms.
Which form most quickly reveals the vertex?
Choose 1 answer:
f(x) = 3x^2+ 36x + 33
f(x) = 3(x+6^2-75
f(x)=3(x+1)(x+11)
What is the vertex?

Answers

Answer 1

Answer:

Step-by-step explanation:

Look what happens when you factor the 3 out of the first choice:

f(x) = 3x^2+ 36x + 33 = f(x) = 3(x^2+ 12x) + 11

We can "complete the square:"  x^2 + 12x becomes x^2 + 12x + 36 - 36, which, in turn, becomes (x + 6)^2 - 36

so that the original f(x) becomes   f(x) = 3(x + 6)^2 - 36 + 33, or

f(x) = 3(x + 6)^2 - 3

Comparing this to

f(x) =a(x - h)^2 + k reveals that h = -6 and k = -3.  Thus, the vertex is at (-6, -3).


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Answer:

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Step-by-step explanation:

A circle is 360 degrees, so subtract 53,110, and 90 (right angle) from that.

Answer:

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Step-by-step explanation:

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Sorry if it’s wrong but I think it’s like that

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Answer:

Step-by-step explanation:

Clusters:

There is a cluster with a regression line of -0.4

Outliers:

(8,8) because it is not near the cluster that was said earlier.

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Answer:

1 is A

Step-by-step explanation:

2 is G

Write an Inequality statement that is represented by the following graph
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Answer:

y < 6

Step-by-step explanation:

Easy points!!!
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Answers

Answer:

51, 52, 53

Step-by-step explanation:

51, 52, and 53 are all greater than 50, but less than 54

The possible numbers that Adam could have written are any number between 50 and 54, such as 51, 52, or 53.

What is the number system?

Number systems are mathematical systems that are used to express numbers in various ways.

Given that the number is "greater than 50 and less than 54", which means it must be strictly between those two values.

Here, the range of numbers that Adam could have written is (50, 54), which means any number greater than 50 and less than 54, but not including 50 and 54 themselves.

Thus, the possible numbers that Adam could have written are any number between 50 and 54, such as 51, 52, or 53.

Learn more about the number system here:

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Fifteen pounds of beans are distributed equally into 10 bags to give out at the food bank.

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Answer:

1.5 pounds of beans are in each nag

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Answer:

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Step-by-step explanation:

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Answer:

1

Step-by-step explanation:

its:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

D

Step-by-step explanation:

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Answers

Answer:

7.26 to the nearest hundredth.

Step-by-step explanation:

The ratio opp/hyp is the sine of the angle.

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x = (3.5 * 17) / 8.2

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

If f(x) = –10x – 6, then f-1(x) =

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Answer:f^-1 (x)= -(x+6)/10

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Step-by-step explanation:

In a coffee shop, cups of coffee cost 2$ and muffins cost 3$. The maximum amount that you can spend is $18. The equation that relates the number of coffees and muffins is 2c + 3m = 18 If I purchase 2 muffins how many cups of coffee can be purchased

Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Given the following

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Answer:

27.89 feet

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

[tex]\sqrt{80}[/tex]

Step-by-step explanation:

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Answers

Answer:

The maximum number of tickets Susana can buy is 8.

Step-by-step explanation:

From the information provided, you can say that the total amount spent at the carnival would be equal to the price per ticket for the number of tickets purchased which can be expressed as:

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