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Serjik
1 month ago
9

Write the quadratic equation whose roots are six and -2 and who’s leading coefficient is 3 use the letter X to represent the var

iable
Mathematics
1 answer:
babunello [11.8K]1 month ago
6 0

Response:

3X^{2} - 12X - 36 = 0

A quadratic equation has solutions of 6 and -2.

Thus, if the variable is denoted by X, the factors of the polynomial function will be (X - 6) and (X + 2).

Thus, the equation can be represented as

(X - 6)(X + 2) = 0

⇒

X^{2} - 4X - 12 = 0

If the leading coefficient is 3, we can express the equation as

(Response)3X^{2} - 12X - 36 = 0

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A shipment of 20 similar laptop computers to a retail outlet contains 3 that are defective. If a school makes a random purchase
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Answer:

Step-by-step explanation:

The total count of laptops, N = 20

Defective laptops, n = 3

The school is purchasing 2 laptops

Case 1:

Both purchased laptops are non-defective

Probability of selecting 2 non-defective laptops

The count of non-defective laptops equals 20 - 3 = 17

Overall laptop count = 20

Probability, P = 17/20 = 0.85

Case 2:

One laptop is found defective

The probability of choosing 1 defective and 1 non-defective laptop

P' = 3/20 x 17/19 = 0.134

Case 3:

Both laptops are defective

Choosing 2 laptops from 3 = 3 C 2 = 3

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The probability of selecting two defective laptops equals 3 / 190 = 0.0158

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4 0
2 months ago
Kim's business earns $10,000 per month. Kim's non-employee expenses are $3,000 per month. If Kim wants $2,000 in profit per mont
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Response:

The monthly income of Kim's business is $10,000.

Every month, Kim spends $3,000 on non-employee costs.

To achieve a monthly profit of $2,000, the highest possible expenditure for employees is calculated as follows:

10000 - 3000 - 2000 = 5000

With the cost of each employee being $1,000 a month, Kim can hire a maximum of 5000/1000 = 5 employees.

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8 0
2 months ago
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At the fast food restaurant, four cheeseburgers and five small fries have a total of 2,310 calories. Three cheeseburgers and two
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