The first steps in writing f(x) = 3x2 – 24x + 10 in vertex form are shown. f(x) = 3(x2 – 8x) + 10 = 16

Answers

Answer 1

Answer:

In order to convert f(x) = 3x² – 24x + 10 which is in quadratic form to vertex form which will look like this y = a(x-h)² + k. You will have to use the process of completing the square. First we will isolate the x² and x terms.

y = 3(x² - 8x) + 10

We take -8 and divide by 2 to get -4 and finally square it which gives us 16. We add these to make it a perfect square and subtract 16 so that we do not change it. We will get:

y = 3(x² - 8x + 16 - 16) + 10

y = 3((x - 4)² ) - 48 + 10

y = 3(x - 4)² - 38

I hope this helps, Regards.

Answer 2

Answer: detailed solution is attached..
Enjoy!

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Answers

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Sense or Nonsense?Penny wants to make a model of a beetle that is larger than life-size. Penny says she is going to use a scaling factor of 7/12. Does this make sense or is it nonsense? Explain.

Answers

Nonsense... The beetle in life size is 12/12 = 1
Therefore, to make a model bigger than this, it would have to be more than 12/12 (1). However, Penny is making it less than 1 whole meaning it would be smaller than life size.
Hope you understand this and it helps (-sorry, it's quite hard to explain!) :-)

If that's how it's displayed, 7/12, then no it doesn't make sense. Using that scale factor is the equivalent shrinking it by 5/12s. And that's not larger than life size. If the scale factor is 7:12, then it would make sense, as the beetle would be 5/19 bigger than the original. It's not much, but it's a start for Penny

The time it takes two successive crests of an ocean wave to pass a given point is called a _____.a) period

b) frequency

c) peak

d) amplitude

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

The time it takes two successive crests of an ocean wave to pass a given point is called a period.

Answer: a) period

Step-by-step explanation:

a) Period is defined as the time it takes two successive crests of an ocean wave to pass a given point. It is measured in seconds.

b) Frequency is defined as the number of waves cycles that pass a point in a given time. It is measured in Hertz.

c) Peak is the highest point on the wave.

d) Amplitude is the distance between the rest position to a crest or a trough. It is measured in meters.

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Answers

Answer:

Step-by-step explanation:

A two-digit number (xy) will have the value 10x+y. The sum of its digits is x+y.

You want ...

10x +y = 2(x +y)

1 ≤ x ≤ 9

0 ≤ y ≤ 9

The equation can be simplified to ...

8x = y

The only single-digit values for x and y that satisfy the requirements are ...

x = 1, y = 8

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_____

Check

Its sum of digits is 1+8 = 9. 2×9 = 18.

_____

Comment on the relationship in the problem

Many of us learned our multiplication tables for 9s by remembering that the sum of digits of 9n was 9, and that the leading digit of the product was n-1.

Answer:

the statement is x=y/8 the number is 18

Step-by-step explanation:

ur welcome.

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b) 1, 1, 2, 4, 7, 13, 24....

Answers

a) 1, 16, 81, and 256 are all perfect squares. Find their squares:
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a)
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b)
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One forklift sells every 4 hours on eBay . If a forklift sells for 2,999 and the seller receive a 12% commission. How much does the seller receives for the sale

Answers

359.88

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