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2 years ago

The solutions of the quadratic equation 0 = (x + 3)(x − 2) are –6 and 0. –4 and 3. –3 and 2. –2 and 1.

Mathematics

1 answer:

wariber [46]2 years ago

8 0

Answer:

The answer to your question is -3 and 2

Step-by-step explanation:

If an equation is factored, to find the roots, just equal each term to zero.

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

Equal each term to zero

x₁ + 3 = 0 x₂ - 2 = 0

Solve for x

x₁ = -3 x₂ = 2

The solutions to this quadratic equation are -3 and 2.

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A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 20000 tickets are sold at 2

Shalnov [3]

Answer:

The expected winnings for a person buying 1 ticket is -0.2.

Step-by-step explanation:

Given : A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 20000 tickets are sold at 25 cents each, find the expected winnings for a person buying 1 ticket.

To find : What are the expected winnings?

Solution :

There are one first prize, 2 second prize and 20 third prizes.

Probability of getting first prize is $\frac{1}{20000}$

Probability of getting second prize is $\frac{2}{20000}$

Probability of getting third prize is $\frac{20}{20000}$

A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each.

So, The value of prizes is

$\frac{1}{20000}\times 1000+\frac{2}{20000}\times 300+\frac{20}{20000}\times 10$

If 20000 tickets are sold at 25 cents each i.e. $0.25.

Remaining tickets = 20000-1-2-20=19977

Probability of getting remaining tickets is $\frac{19977}{20000}$

The expected value is

$E=\frac{1}{20000}\times 1000+\frac{2}{20000}\times 300+\frac{20}{20000}\times 10-\frac{19977}{20000}\times 0.25$

$E=\frac{1000+600+200-4994.25}{20000}$

$E=\frac{-3194.25}{20000}$

$E=-0.159$

Therefore, The expected winnings for a person buying 1 ticket is -0.2.

3 0

2 years ago

Round 10.09 To The Nearest Whole Number

ziro4ka [17]

Answer=10

When rounding to the nearest whole number, we need to look to the number in the tenths place

10.09

If the number is 5 or greater, we round up. If the number is 4 or less, we round down.

The number is 0, so we would round down.

10.09 becomes 10

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3 years ago

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How are rate of change and slope related for a linear relationship?

ale4655 [162]

Hello! In slope-intercept form, y=mx+b. M is the slope and b is the y-intercept. The rate of change and slope are interchangeable, therefore, they both create a line through the slope-intercept form. Feel free to rate my answer Brainliest if I helped you!

7 0

3 years ago

What are two equivalent fractiond for 30/10

I am Lyosha [343]

Answer:

The answer is 3/1 or 3

Step-by-step explanation:

30/10 = 3/1 = 3

Thus, The answer is 3/1 or 3

<u>-TheUnknownScientist</u><u> 72</u>

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2 years ago

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If $7000 is borrowed at the rate of 5% per annum for 3 years what is the simple interest

Strike441 [17]

Answer:

$450

Step-by-step explanation:

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2 years ago