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3 years ago

What are the coordinates of the vertex of the function f(x) = x2 - 12x + 5?

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

6 0

Answer:

The vertex is the point (6,-31)

Step-by-step explanation:

we have

$f(x)=x^2-12x+5$

This is a vertical parabola open upward

The vertex represent a minimum

Convert to vertex form

Complete the square

$f(x)=(x^2-12x+6^2)+5-6^2$

$f(x)=(x^2-12x+36)-31$

Rewrite as perfect squares

$f(x)=(x-6)^2-31$ -----> equation in vertex form

therefore

The vertex is the point (6,-31)

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2 years ago

Based on historical data, your manager believes that 41% of the company's orders come from first-time customers. A random sample

TEA [102]

Answer:

The probability that the sample proportion is between 0.35 and 0.5 is 0.7895

Step-by-step explanation:

To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.

z-score of the sample proportion is calculated as

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For the sample proportion 0.35:

z(0.35)= $\frac{0,35-0.41}{\sqrt{\frac{0.41*0.59}{72} } }$ ≈ -1.035

For the sample proportion 0.5:

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3 years ago

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2 years ago

Read 2 more answers

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Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago