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2 years ago

Distributive property Multiply. 1. 8(3a+5) 2. 4(6-2d) 3. 9(2x-7y)

Mathematics

1 answer:

Bumek [7]2 years ago

6 0

Answer:

1. 24a + 40

2. 24 - 8d or -8d + 24

3. 18x - 63y

Step-by-step explanation:

multiply the 8 by 3a then by 5

8(3a + 5)

24a + 40

2. multiply the 4 by the 6 and -2d

4(6 - 2d)

24 - 8d or -8d + 24

3. multiply the 9 by the 2x and -7y

9(2x-7y)

18x - 63y

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3 years ago

An animal shelter has 36 kittens and 12 puppies available for adoption what is the ratio of puppies to kittens

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3 years ago

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What is the equation of a line that is parallel to -x+3y=6 and passes through the point (3,5)?

Elena-2011 [213]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

We have the following line:

$-x + 3y = 6\\3y = x + 6\\y = \frac {1} {3} x + \frac {6} {3}\\y = \frac {1} {3} x + 2$

Thus, the slope is: $m_ {1} = \frac {1} {3}$

Then $m_ {2} = \frac {1} {3}$

So, the line is of the form:

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Answer:

$y = \frac {1} {3} x + 5$

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3 years ago

What is the least possible value of (x+1)(x+2)(x+3)(x+4)+2019 where x is a real number?

Mrrafil [7]

The least possible value of (x+1)(x+2)(x+3)(x+4)+2019 where x is a real number is 2018

<h3>What is an Expression ?</h3>

An expression is a mathematical statement consisting of variables , constant and mathematical operators.

The expression given is

(x+1)(x+2)(x+3)(x+4)+2019

To find the minimum value

(x+1)(x+2) = ( x² +3x +2) = ( x +5/2)² - 9/4

(x+3)(x+4) = (x² +7x +12) = ( x +5/2)² -1/4

(x+1)(x+2)(x+3)(x+4) = ( x +5/2)⁴ - 5/2 ( x +5/2)² +9/16

Considering ( x +5/2)² = y

(x+1)(x+2)(x+3)(x+4) = y² - 5/2y + 9/16

(x+1)(x+2)(x+3)(x+4) = ( y - 5/4)² - 1

(x+1)(x+2)(x+3)(x+4) = ( ( x +5/2)² -5/4)² - 1

The minimum value when x is a real number is -1

( x +5/2)² -5/4) = 0

-1 +2019 = 2018

x has two possible real solution

and the least possible value of (x+1)(x+2)(x+3)(x+4)+2019 where x is a real number is 2018.

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tatuchka [14]

Answer:

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8 times .6 is 4.8

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I hope that helps!

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