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3 years ago

9

Name the property shown by each statement.

2 answers:

Ierofanga [76]3 years ago

6 0

I believe the equation shown above is an example of:

B. Associative Property of Addition.

Hope I helped!!

VMariaS [17]3 years ago

3 0

Answer:

Associative Property of Addition.

Step-by-step explanation:

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Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (

Vladimir79 [104]

Answer:

Factors: $(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

Step-by-step explanation:

We are given a polynomial:

$f(x)=x^4-x^3-2x-4$

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

$f(x)=x^4-x^3-2x-4 = 0\\x^4-x^3-2x-4 = 0\\x^4-4-x^3-2x=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^4-4)-(x^3+2x) = 0\\(x^2+2)(x^2-2)-x(x^2+2) = 0\\(x^2+2)(x^2-2-x) = 0\\(x^2+2)(x^2-x-2) = 0\\(x^2+2)(x^2-2x-+x-2) = 0\\(x^2+2)((x(x-2)+1(x-2))=0\\(x^2+2)(x+1)(x-2)=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^2-(\sqrt{-2})^2)(x+1)(x-2)=0\\(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

8 0

2 years ago

Colin and Brian were playing darts. Colin scored 141. Brian scored 154 more than Colin. What was their combined score

creativ13 [48]

Answer:

436

Step-by-step explanation:

Colin’s score=141

Brian’s score= 141+154

=295

Total score = 295+141

=436

5 0

2 years ago

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Aubrey wants to buy a new coat that has a regular price of $185. This weekend the coat is on sale at a 33% discount what is the

sweet-ann [11.9K]

Find 33% of 185:

0.33 * 185 = 61.05

Subtract this from the regular price:

185 - 61.05 = 123.95

So the sale price is $123.95

4 0

3 years ago

Read 2 more answers

Find the<br>degree of the algebraic<br>expression:<br>3x^3 + 3x^2y^2 - y^2

Ghella [55]

Answer:

Degree 4

Step-by-step explanation:

Expression:

3x^3 + 3x^2y^2 - y^2

3x^3 - degree 3
3x^2y^2 - degree 2+2 = 4
y^2 - degree 2

So the expression has degree 4 as per the highest degree of the terms

4 0

3 years ago

The volume of a cuboid is 176cm

IRISSAK [1]

Answer:

.08cm or 0.08cm

Step-by-step explanation:

First of all, we can see that 20mm is in millimeters, not centimeters.

If we convert the ones in centimeters to millimeters, it will result in decimals, which I want to avoid, but you could also do it that way.

There are 10 mm in 1 cm, so I multiply all of the values in cm by 10.

So now, we have that the volume is 1760mm, the length is 110mm, and the width is 20mm.

The formula for the volume of a cuboid is: $w*l*h = volume$

We have the width, length, and volume, so let's plug it in.

$20*110*h=1760$

To solve for h:

1. Multiply 20 and 100

$2200*h=1760$

2. Divide both sides by 2200

$h = 1760/2200$

3. Divide right side

h = 0.8

Keep in mind that this is in millimeters. In centimeters, it would be .08

6 0

3 years ago