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irinina [24]
3 years ago
14

How do I factor the quadratic equation

Mathematics
1 answer:
anastassius [24]3 years ago
4 0
Factor the following:
10 y^2 - 35 y + 30
Factor 5 out of 10 y^2 - 35 y + 30:
5 (2 y^2 - 7 y + 6)
Factor the quadratic 2 y^2 - 7 y + 6. 
The coefficient of y^2 is 2 and the constant term is 6. 
The product of 2 and 6 is 12. 
The factors of 12 which sum to -7 are -3 and -4. So 2 y^2 - 7 y + 6 = 2 y^2 - 4 y - 3 y + 6 = y (2 y - 3) - 2 (2 y - 3):
5 y (2 y - 3) - 2 (2 y - 3)
Factor 2 y - 3 from y (2 y - 3) - 2 (2 y - 3):
Answer:  5 (2 y - 3) (y - 2)
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Step-by-step explanation:

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kari74 [83]

Answer:

Step-by-step explanation:The model will be of length 0.4 ft and the width being 0.28 feet

Step-by-step explanation:

Step 1.We know that the length of the building is 200 feet, and that the width of the building is 140 feet.

Step 2. the question tells us that "a 1/500 model is built of the building", meaning the problem wants to create a model using the ratio 1 feet for each 500 feet.

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single die is rolled twice. Find the probability of rolling an oddodd number the first time and a number greater than 33 the sec
givi [52]

Answer:

\frac{1}{4}

Step-by-step explanation:

A single die is rolled twice, we have to find the probability of rolling an odd number in first throw and a number greater than 3 in the second throw.

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A die has total 6 possible outcomes, out of which 3 are odd numbers i.e. 1,3 and 5

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Total Favorable outcomes (Odd numbers) = 3

Probability is defined as the ratio of favorable outcomes to total number of outcomes. So,

The probability of rolling an odd number would be = \frac{3}{6} = \frac{1}{2}

b) Rolling a number greater than 3 in second throw

Here again total possible outcomes = 6

Favorable outcomes (Numbers greater than 3 are 4, 5 and 6) = 3

So,

The probability of rolling a number greater than 3 =  \frac{3}{6} = \frac{1}{2}

These two events(rolls) are independent of each other, so the overall probability of both events occurring would be the product of individual probabilities.

So,

Probability of rolling an odd number the first time and a number greater than 3 the second time = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}

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2 years ago
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sergey [27]
Four miles every hour
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