MATHEMATICS HIGH SCHOOL

Prove 4t + t = 5t4t + t

t(4 + 1)

t(5)

5t

What property or properties were used to prove that the expressions are equivalent?
commutative and distributive properties
associative and distributive properties
associative and commutative properties
associative property

Answers

Answer 1

Answer:

The proof used the distributive property and the associative property of multiplication.

Option B is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the liketerms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To be specific, the distributiveproperty was used to break down the expression 4t + t as:

4t + t = (4 + 1)t ________(1)

And then the associativeproperty was used to rearrange the terms as:

(4 + 1)t = 5t ________(2)

From (1) and (2)

We have shown that 4t + t is equivalent to 5t.

Thus,

The proof used the distributive property and the associative property of multiplication.

Learn more about expressions here:

brainly.com/question/3118662

#SPJ2

Answer 2

Answer:

Answer:

its A: commutative and distributive properties

Step-by-step explanation:

i got it right

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Solve the system of equation below using any method.
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Answers

{ 3 x - 2 y = 30   * ( 2 )
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↓

  6 x - 4 y = 60
- 6x - 9 y = 57
______________
-13 y = 117

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y = - 9

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hope this helps!

If given f(x) = x 4 and g(x) = –2x2 3x – 1, what is (f – g.(x)?
a. (f –
g.(x) = –2x2 4x – 3
b. (f –
g.(x) = –2x2 – 2x 5
c. (f –
g.(x) = 2x2 2x 5
d. (f –
g.(x) = 2x2 – 2x 5