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ZanzabumX [31]
3 years ago
11

Factorize the following a) x^2-720b) 15xy+15+9y+25x​

Mathematics
2 answers:
kirill115 [55]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

(a)

Expressing as a difference of squares

a² - b² = (a - b)(a + b), thus

x² - 720

= x² - (12\sqrt{5} )²

= (x - 12\sqrt{5} )(x + 12\sqrt{5} )

(b)

15xy + 15 + 9y + 25x ← rearrange

= 15xy + 9y + 25x + 15 ( factor the first/second and third/fourth terms )

= 3y(5x + 3) + 5(5x + 3) ← factor out (5x + 3)

= (5x + 3)(3y + 5) ← in factored form

Olenka [21]3 years ago
3 0

Answer:

Below

Step-by-step explanation:

a)

● x^2 - 720

● x^2 - √(720)^2

● ( x + √720) ( x - √720)

b)

● 15xy + 15 + 9y + 25x

● 5x ( 3y + 5) + 15 + 9y

● 5x ( 3y + 5) + 3 ( 5 + 3y)

● ( 3y + 5) ( 5x + 3)

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Kyoko is reading a book by her favorite author. She read the first 20 pages in One-half of an hour. Reading at the same pace, Ky
eduard

Answer:

It will take her 3 hours to read 120 pages.

Step-by-step explanation:

The number of pages read(y) after x hour can be modeled by a linear function in the following format:

y = ax + b

In which a is the number of pages read per hour and b is the initial number of pages read.

A straight line goes through (0, 0)

This means that when x = 0, y = 0

So

y = ax + b

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When x = 0.5, y = 20

So

y = ax

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a = \frac{20}{0.5}

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The function in:

y(x) = 40x

According to the graph, which statement must be true?

It will take her 2 hours to read 60 pages.

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Less than 2 hours for 60 pages, so this is false.

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y(3) = 40*3 = 120

This statement is true.

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It will take her 5 hours to read 210 pages.

y(5) = 40*5 = 200

More than 5 hours to read 210 pages. So false.

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3 years ago
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