Write an algebraic expression for the product of two and the sum of four and twice a number. Plz help! :(

Mathematics

1 answer:

Softa [21]3 years ago

6 0

2*4+2x
I think that's the answer but then again I failed math so.........

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Which property was applied to create this equivalent expression? 7 x (5 6 x) right-arrow (7 x 5) 6 x the commutative property on

krok68 [10]

The option (B) is correct. Associative property was applied to create the given expression.

Given expression is 7x+(5+6x) rightarrow (7x+5)+6x.

Firstly, check the given expression by commutative property.

The commutative property of addition is a+b=b+a and the commutative property of multiplication is a×b=b×a.

The commutative property didn't satisfy the given expression.

Now, check the given expression by associative property.

The associative property of addition is (a+b)+c=a+(b+c) and the commutative property of multiplication is (a×b)×c=a×(b×c).

The associative property of addition satisfy the given expression.

Further, check the given expression by distributive property.

The distributive property is a×(b+c)=ab+bc.

The distributive property didn't satisfy the given expression.

Hence, the given expression 7x+(5+6x) rightarrow (7x+5)+5x s created by the associative property.

Learn more about associative property from here brainly.com/question/10628093

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There are two large pieces of construction paper. The red piece has an area of 90 in2, while the blue piece is 12 inches long by

natta225 [31]

Area of the red paper = 90 in²

Area of the blue paper = 12 x 9 = 108 in²

108 - 90 = 18 in²

Ans: The blue paper is larger by 18 in².

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Convert y=x squared +64x + 12 into graphing form

guajiro [1.7K]

$To \ convert \ the \ standard \ form \ y = ax^2 + bx + c \ of \ a \ function \ into \ vertex \ form \\ \\ y = a(x - h)^2 + k ,\\ \\ we \ have \ to \ write \ the \ equation \ in \ the \ complete \ square \ form \ and \ vertex(h, k) \ is \ given \ by:$

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$y=x^2 +64x + 12\\ \\a=1,\ b=64 \ c = 12 \\ \\h = \frac{-64}{2}=-32 \\ \\ k = 12 -\frac{64^2}{4 }=12-\frac{4096}{4}=12-1024= -1012\\ \\y = (x+32)^2-1012 \\ \\ This \ means \ the \ vertex \ of \ the \ parabola \ is \ at \ the \ point \ (-32, -1012)\\ \\ and \ the \ parabola \ is \ concave \ up.$

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