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zheka24 [161]
1 year ago
16

What is the first step in writing f(x) = 6x2 + 5 – 42x in vertex form?

Mathematics
2 answers:
Marat540 [252]1 year ago
7 0
F(x) = 6x² + 5 - 42x

first step in writing the f(x) in vertex form? WRITE THE FUNCTION IN STANDARD FORM.

f(x) = 6x² - 42x + 5

Exponents must be in decreasing order. 
Rom4ik [11]1 year ago
7 0

Answer:

Option 3rd is correct

Write the function in standard form.

Step-by-step explanation:

The standard form of the quadratic equation is given by:

y=Ax^2+Bx+C

As per the statement:

Given the function:

f(x) = 6x^2+5-42x

We have to find the first step writing f(x) vertex form.

Firstly, write the given function in standard form

by definition we have;

f(x) = 6x^2-42x+5

Therefore, the first step writing f(x) vertex form is, Write the function in standard form.

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11. Health. Sherri is considering joining a health club. To be a member of Roman's Gym, she would
sergeinik [125]

Answer:

help

Step-by-step explanation:

4 0
1 year ago
F(x)=x2−x−1f, left parenthesis, x, right parenthesis, equals, x, squared, minus, x, minus, 1 What is the average rate of change
Alexandra [31]

Answer: The average rate of change = -1

Step-by-step explanation: Please find the attached file for the solution

5 0
2 years ago
Question 6 The mineral content of a particular brand of supplement pills is normally distributed with mean 490 mg and variance o
AysviL [449]

Answer:

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 490 mg and variance of 400.

This means that \mu = 490, \sigma = \sqrt{400} = 20

What is the probability that a randomly selected pill contains at least 500 mg of minerals?

This is 1 subtracted by the p-value of Z when X = 500. So

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

Z = \frac{500 - 490}{20}

Z = 0.5

Z = 0.5 has a p-value of 0.6915.

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

4 0
1 year ago
A basic cellular package costs $20 per month for 60 minutes of calling, with an additional charge of $0.20/min beyond that time.
Anika [276]

Answer: you can use 260 min, 60 min at a fixed price ($20) and extra 200.

Step-by-step explanation:

C(x) = 20 + 0.20(x − 60)

C(x) ≤ 60

20 + 0.20(x − 60) ≤ 60

0.20(x − 60) ≤ 60 - 20

0.20x - 12 ≤ 40

0.20x ≤ 40 + 12

0.20x ≤ 52

x ≤ 52/0.2

x ≤ 260

This way, you can use 260 min, 60 min at a fixed price ($20) and extra 200.

7 0
1 year ago
Absolute value of -12 and -15
kvasek [131]

Absolute value- the amount a number is away from zero. With this information, we can conclude,

|-12| = 12

|-15| = 15

5 0
1 year ago
Read 2 more answers
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