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Katen [24]
3 years ago
13

Factor the polynomial expression 15x^2 - 2x - 8

Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0

Answer:

(3 x + 2) (5 x - 4)

Step-by-step explanation:

Factor the following:

15 x^2 - 2 x - 8

Factor the quadratic 15 x^2 - 2 x - 8. The coefficient of x^2 is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12. So 15 x^2 - 2 x - 8 = 15 x^2 - 12 x + 10 x - 8 = 5 x (3 x + 2) - 4 (3 x + 2):

5 x (3 x + 2) - 4 (3 x + 2)

Factor 3 x + 2 from 5 x (3 x + 2) - 4 (3 x + 2):

Answer: (3 x + 2) (5 x - 4)

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A deck has side lengths 16 feet, 18 feet, 16 feet, 8 feet, and 12 feet.
BigorU [14]

The area of the deck is 413 square feet

<h3>How to determine the area of the proposed deck?</h3>

Start by calculating the area of the outer rectangle using:

Area = Length * Width

This gives

Area1 = (18 + 12) * (16 + 8)

Area1 = 720

Next, calculate the area of the inner rectangle using:

Area = Length * Width

This gives

Area2 = 16 * (18 + 8)

Area2 = 416

Subtract these areas

A1 = Area1 - Area2

A1 = 720 - 416

A1 = 304

Next, calculate the area of the outer semicircle using:

Area = 0.5πR²

This gives

Area1 = 0.5 * 3 * (12-1)²

Area1 = 181.5

Next, calculate the area of the inner semicircle using:

Area = 0.5πr²

This gives

Area2 = 0.5 * 3 * (7)²

Area2 = 73.5

Subtract these areas

A2 = Area1 - Area2

A2 = 181.5 - 73.5

A2 = 108

Add A1 and A2

A = 304 + 108

Evaluate the sum

A = 412

Hence, the area of the deck is 413 square feet

Read more about areas at:

brainly.com/question/24487155

#SPJ1

6 0
2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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kap26 [50]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation

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dmitriy555 [2]

Answer: because the figure on the left is negative and more wide open while the other one is not only smaller but also positive and it’s more shut

Step-by-step explanation:

So the X-axis of the Figure on the left is going form point -3 to 0 while the other figure on the right is going form 3 to 5. And the Y- axis of the figure on the left is 2 while the right is 1 which proves that the figure on the left is bigger then the other

Your Also supposed to add all the point like first look for the Y and the X of I with J Then look for H and K then look for G and L the look for the slope of all those and then add them,then do the same with the left one and see which ones more and how much more

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