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3 years ago

Viete's Formulas - what are they used for?

Mathematics

1 answer:

kozerog [31]3 years ago

8 0

For quadratics, these formulas are used mainly for factoring.

Your equation can be written as ...

... 2(x² +2x -3) = 0

You factor this by looking for factors of -3 (c=x1·x2) that add to give +2 (b=-(x1+x2)). These are {-1, +3}, so the factorization is ...

... 2(x -1)(x +3) = 0

The roots are then 1 and -3, which sum to -b = -2.

(You will note that the numbers used in the binomial factors are the opposites of the roots x1 and x2 in the Viete's Formulas. That is how we can look for them to sum to "b", rather than "-b".)

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The ratio of girls to boys

amm1812

Answer:

36girls

Step-by-step explanation:

3/1*12=36. To check 36/12=3/1=3:1

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2 years ago

A die is rolled nine times and the number of times that two shows on the upper face is counted. If this experiment is repeated m

vivado [14]

Answer:

$E(x) = 1.5\\$

Step-by-step explanation:

Given

$n = 9$ -- number of rolls

Required

The mean of 2's

The distribution follows binomial distribution where:

$X \to Binomial(n,p)$

In this case:

$p= \frac{1}{6}$ ---- the theoretical probability of rolling 2

So, the mean of 2's is calculated using:

$E(x) = np$

$E(x) = 9 * \frac{1}{6}$

$E(x) = \frac{9}{6}$

Simplify

$E(x) = \frac{3}{2}$ or

$E(x) = 1.5\\$

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3 years ago

If a = 3 units, b = 8 units, and c = 10 units, what is the volume of the figure?

erik [133]

Step-by-step explanation:

$Volume = L \times W \times H.$

L - Length

W- Width.

H- Height.

<u>Multiply each side:</u>

$3 \times 8 \times 10 = 240$

$Answer:$ $240$ $units^{3}$

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2 years ago

A teacher gathered data about the number of hours her students spent studying for a test and their resulting test grades. She fo

In-s [12.5K]

Answer:

A. The data set would have a linear association.

C. The data set would have a positive correlation.

E. Every student earns 16 more points for each additional hour they study.

F. Students that study more tend to earn better grades on the test.

Step-by-step explanation:

Since in the question it is mentioned that the teacher obtained data with regard to the number of hours that students spent for their test and on their results. She found that on an average for each 30 minutes studied, the graded would rise by 8 points

Now this kind of relationship represents the linear association, positive correlation and study more earn better

Therefore the above three statements are true

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3 years ago

Can I have some help

jok3333 [9.3K]

18/20=27/x
18x=27*20
x=(27*20)/18=30

Answer: 30

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3 years ago