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Anit [1.1K]
3 years ago
9

Determine the vertex of the relation y = -2x2 - 8x + 1 by partial factoring. Show all of your steps.

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

1) the vertex of a parable is given for two points, ( -b/2a, -b2-4ac/4a)

2) Now substitute the values in the equation

x = - (-8)/2(-2) = 8/ -4 = -2

y = -(8^2-4(-2)(1)/ 4(-2) = -(64-8) /-8 = 56/8 = 7

v(-2,7)

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Answer:

Weight of wastage=179.775kg

weight of rice cultivated= 585.225 kg

percentage of rice cultivated=76.5%

Step-by-step explanation:

Area of land=100 square meters

Cultivated rice=765kg

Wastage=23.5%

1) Weight of the wastage=23.5% of 765kg

=23.5/100 × 765

=17977.5 / 100

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2) Weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg

= 585.225 kg

percentage of rice cultivated = 100 - 23.5

= 76.5%

3) if area is increased 40 times in size

New area=1000 square meters × 40

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Cultivated rice= 765kg × 40

=30,600 kg

Cultivated rice excluding wastage=585.225 kg × 40

=23,409 kg

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Does the table show a proportional relationship? If so, what is the value of y when x is 11
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Answer:

Yes, the table shows a proportional relationship

The value of y when x is 11 is 1331

Step-by-step explanation:

Let us check the relation between x and y in the table

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∵ 125 = 5³

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∴ y = (11)³

∴ y = 1331

∴ The value of y when x is 11 is 1331

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