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2 years ago

Transform the given standard form into vertex form and determine vertex.

Mathematics

1 answer:

Natalka [10]2 years ago

7 0

Answer:

1. the vertex form of your function is f(x)= (x+-2)^2+-7

The vertex is at (2,-7)

2. So, the vertex form of your function is f(x)= (x+-7/2)^2 -41/4

The vertex is at (7/2, -41/4)

Step-by-step explanation:

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lilavasa [31]

Answer:

SB or ? = 9

Step-by-step explanation:

Since the two triangles are similar.

((18 + 6) / 6) = 24 / 6 = <u>4</u>

[Scale factor between ∆BCU and ∆SUT]

SB or ? = 12 – 12/<u>4</u> = 12 – 3 = 9

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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ivann1987 [24]

3*3*3 here you go!! Hope this helps

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A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl

LuckyWell [14K]

Answer:

A sample of 16577 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

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99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a p-value of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use $\pi = 0.5$ , which is when the largest sample size will be needed.