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3 years ago

Write the equation of a quadratic function with roots at 1 and 5 and a vertex at (3,-2)

1 answer:

5 0

The equation of a parabola is the following:

$(y - k) = a(x - h)^{2}$

where $(h, k)$ is the coordinate of the vertex and $a$ is a constant. With the information you have above, you are able to fill in $(h, k)$ and solve for $a$ with the information that $(1, 0)$ and $(5, 0)$ are roots of the equation.

You might be interested in

Do you compare a negative decimal to a positive decimal?

Anika [276]

Answer:

Positive: Decimals are a part of a whole just like fractions are a part of a whole. Therefore, a positive decimal is always greater than a negative decimal.

Negative: When you have two negative decimals, the one closer to zero is always greater. The farther a negative decimal is from zero, the smaller its value.

All of it put together (same text as above):

Decimals are a part of a whole just like fractions are a part of a whole. Therefore, a positive decimal is ALWAYS greater than a negative decimal. When you have two negative decimals, the one closer to zero is always greater. The farther a negative decimal is from zero, the smaller its value.

5 0

3 years ago

Question: Researchers in Pakistan wanted to better understand the effects of anthracycline (a chemotherapeutic drug) on the hear

Sedbober [7]

Using the normal distribution, it is found that:

1. His z-score was of Z = -1.88.

2. There is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

3. Z-score of z = 1.85, there is a 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

4. Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of $\mu = 1.35$ .

The standard deviation is of $\sigma = 0.33$ .

Item 1:

Considering his ratio, we have that X = 0.73, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.73 - 1.35}{0.33}$

$Z = -1.88$

His z-score was of Z = -1.88.

Item 2:

The probability is the <u>p-value of Z = -1.88</u>, hence, there is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

Item 3:

Score of X = 1.96, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1.96 - 1.35}{0.33}$

$Z = 1.85$

The probability is 1 subtracted by the p-value of Z = 1.85, hence, 1 - 0.9678 = 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

Item 4:

Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

More can be learned about the normal distribution at brainly.com/question/24663213

7 0

2 years ago

Which functions have a horizontal asymptote? Check all that apply.

Anarel [89]

If I could see the photo I could help you answer the question

6 0

3 years ago

Read 2 more answers

Do you think making a table is the best way to find the total area of the rooms

Komok [63]

Well it depends on how many tables you are using and if all the sides of the table are equal lengths....you can it will not hurt anything just make sure you right down all of the area length/width that you cover that way you get the amount you need :) remember to hit that thanks button please:)

6 0

3 years ago

The seventh term of an arithmetic progression is equal to twice the fifth term. The sum

mario62 [17]

Answer:

a₁ = - 24

Step-by-step explanation:

The n th term of an AP is

$a_{n}$ = a₁ + (n - 1)d