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Shalnov [3]
3 years ago
7

which property is illustrated by the following statement? 2(-3/9)=(-3/9)2^? Associative Property of Addition, Commutative Proper

ty of Multiplication, Inverse property of Multiplication, Commutative property of addition
Mathematics
2 answers:
Dafna1 [17]3 years ago
4 0

Answer:

Therefore, Commutative Property of Multiplication,

Step-by-step explanation:

Given : 2(\frac{-3}{9}) = (\frac{-3}{9}) 2.

To find : which property is illustrated by the following statement.

Solution : We have given

2(\frac{-3}{9}) = (\frac{-3}{9}) 2.

Commutative property : Commutative property states that order does not matter. Multiplication  are commutative.

Example : A×B = B×A.

3×4 = 4×3 = 12.

Then  2(\frac{-3}{9}) = (\frac{-3}{9}) 2 is illustrated by the Commutative Property of Multiplication,

Therefore, Commutative Property of Multiplication,

Ratling [72]3 years ago
3 0

Consider the given statement:

2(\frac{-3}{9}) = (\frac{-3}{9})2

We have to identify the property used in this statement.

1. Associative Property of Addition: Let a,b and c be three real numbers. This property states that a+(b+c) = (a+b)+c. This property is not used in the given statement.

2. Commutative property of multiplication: Let 'a' and 'b' be two real numbers. This property states that a \times b = b \times a.

In the given statement,2(\frac{-3}{9}) = (\frac{-3}{9})2

This statement holds commutative property of multiplication as whether 2 is multiplied to \frac{-3}{9} or \frac{-3}{9} is multiplied to 2, the result is same.

So, Commutative property of multiplication is illustrated in this statement.

3. Inverse property of multiplication: A number 'a' is said to have an inverse '\frac{1}{a}' if a \times \frac{1}{a}=1. This property is not used in the given statement.

4. Commutative property of addition: Let 'a' and 'b' be two real numbers. This property states that a+b = b+a. This property is not used in the given statement.

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What is the constant term of the quotient when 2x^3-3x^2 + 4x-2 is divided by x^2-x+2?
AlladinOne [14]

Answer:

  -1

Step-by-step explanation:

See the attachment for the polynomial long division. The constant in the quotient is -1.

_____

Here, there is a remainder of -x. If there were no remainder the constant in the quotient is the ratio of the constant in the dividend to the constant in the divisor: -2/2 = -1.

That could be a first guess in a "guess and check" solution approach.

<em>Guess</em>: first term of binomial quotient is (2x^3)/x^2 = 2x; last term of binomial quotient is -2/2 = -1. So, the quotient is guessed to be (2x -1).

<em>Check</em>: (2x -1)(x^2 -x +2) = 2x^3 -3x^2 +5x -2

Subtracting this from the actual dividend gives a remainder of -x. This has a lower degree than the divisor, so no further adjustment of the quotient is required.

6 0
3 years ago
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3*60 = 180 minutes

80/180 = 0.44

1-0.44 = 0.56

 it was a 56% decrease in commute time

4 0
3 years ago
Is —2x+3y=12 parallel, perpendicular, or neither
bixtya [17]

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7 0
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Read 2 more answers
n social studies class, Cole is making a scale drawing of a flag. The flag measures 24 inches high by 36 inches wide, having thr
Ray Of Light [21]
The complete question in the attached figures

we know that

1 ft---------------> 0.083333 in

so
<span>24 inches high--------------> 24*0.083333=2 ft
</span><span>36 inches wide--------------> 36*0.083333=3 ft

</span><span>we will analyze each drawing
</span><span>
drawing a) scale 1/4 in/ 1 ft ----------> (1/4)/1=1/4
for a high of 2 ft-------------> 2*(1/4)=0.5 in
f</span>or a wide of 3 ft-------------> 3*(1/4)=0.75 in
drawing a) is not solution

drawing b) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing b) is not solution

drawing c) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing c) is not solution

drawing d) scale 1 in/ 1 ft ----------> (1)/1=1
for a high of 2 ft-------------> 2*(1)=2 in
for a wide of 3 ft-------------> 3*(1)=3 in
drawing d) is a solution

the answer is 
The correct model of the flag  is the drawing D

8 0
3 years ago
This is important please help
Leya [2.2K]

Answer: C

<u>Step-by-step explanation:</u>

∑ 8(\frac{7}{3})⁽ⁿ⁻¹⁾ from n = 1 to n = 5

n = 1 → 8(\frac{7}{3})⁽¹⁻¹⁾

        = 8                                         = \frac{648}{81}

n = 2 → 8(\frac{7}{3})⁽²⁻¹⁾

         = \frac{56}{3}                                         = \frac{1512}{81}    

n = 3 → 8(\frac{7}{3})⁽³⁻¹⁾

          = \frac{392}{9}                                     = \frac{3528}{81}

n = 4 → 8(\frac{7}{3})⁽⁴⁻¹⁾

          = \frac{2744}{27}                                 = \frac{8232}{81}

n = 5 → 8(\frac{7}{3})⁽⁵⁻¹⁾

          = \frac{19208}{81}                                = \frac{19208}{81}

                                                                            Sum = \frac{33128}{81}

                                                                                    = 408.99

     

6 0
3 years ago
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