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KatRina [158]
3 years ago
15

PLEASE HELP find the vertex of f(x)=x^2+2x+3 (make sure you show your work)

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer:

(- 1, 2)

Step-by-step explanation:

Given a quadratic in standard form y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = x² + 2x + 3 ← is in standard form

with a = 1 and b = 2, hence

x_{vertex} = - \frac{2}{2} = - 1

Substitute x = - 1 into f(x) for corresponding value of y

f(- 1) = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2

vertex = (- 1, 2 )

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simplify the expression

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Three students want to estimate the mean word length of the same book. To do this, each student randomly chose 4 words from the
Firlakuza [10]

The solutions to the questions are given below

a)

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25


b)R =0.75

c)

  • The mean of the sample means will tend to be a better estimate than a single sample mean.
  • The closer the range of the sample means is to 0, the more confident they can be in their estimate.

<h3>What is the students are going to use the sample means to estimate the mean word length in the book.?</h3>

The table below shows sample means in the table.

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25

b)

Generally, the equation for is  mathematically given as

variation in the sample means

R =maximum -minimum

R=4.25-3.5

R =0.75

c)

In conclusion, In most cases, the mean of many samples will provide a more accurate estimate than the mean of a single sample.

They may have a higher level of confidence in their estimate if the range of the sample means is closer to 0 than it is now.

Read more about probability

brainly.com/question/795909

#SPJ1

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