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madreJ [45]
2 years ago
14

The steps in writing f(x)=18x+3x2 in vertex form are shown, but a value is missing in the last step. Write the function in stand

ard form. Factor a out of the first two terms. f(x)=3(x2+6x) Form a perfect square trinomial. (six-halves) squared f(x)=3(x2+6x+9)−3(9) Write the trinomial as a binomial squared. f(x)=3(x+___)2−27 What is the missing value in the last step? 3 6 9 18
Mathematics
1 answer:
Aleks04 [339]2 years ago
6 0

Answer: missing value is 3

Step-by-step explanation:To find the vertex form of parabola  given in almost standard form  were written following steps:

1.  Write the function in standard form:

2. Factor a out of the first two terms:

3. Form a perfect square trinomial:

4. Write the trinomial as a binomial squared:

The vertex is (-3,-27).

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Answer:

b. The margin of error would decrease.

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Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

M = z\frac{\sigma}{\sqrt{n}}

In which z is related to the confidence level, \sigma is the standard deviation of the population and n is the size of the sample.

This means that the margin of error is inversely proportional to the size of the sample, which means that if the sample size increases, the margin of error decreases.

In this question, the sample size is increased, leading to a smaller margin of error. So the correct answer is given by option b.

8 0
2 years ago
After a discount of 5% the sales price of a game system is $106.78 what is the original price
Mrac [35]
106.78/.05=2135.6
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4 0
3 years ago
Help!!!!
shusha [124]

Answer:

x = 4

Step-by-step explanation:

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2x = 8

x = 4

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3 years ago
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