MATHEMATICS HIGH SCHOOL

Choose the property that justifies the outcomes.5(8+3)=5*8+5*3

4x+(5x+3)=9x+3

a+b=b+a

Multiplicative Inverses
Additive Inverses
Commutative property of Addition
Distributive Property
Associative Property of Addition

Answers

Answer 1
Answer: We must look at each equation and pick out which property matches with the choices

For the equation:
5(8+3)=5*8+5*3
The property is
Distributive Property

For the equation:
4x+(5x+3)=9x+3
The property is
Commutative property of Addition

For the equation:
a+b=b+a
The property is
Associative Property of Addition

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Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.2b4+5

Answers

In this case, the greatest common factor IS 1;

There is no number or variable that divides evenly into both 2b^4 and 5, so you leave it as 2b^4 + 5.

Which Greek mathematician is known as the Father of Geometry

Answers

Euclid was a Greek mathematician known as "Father of Geometry"
Euclid of Alexandria was known as the "father of geometry"

Identify the coefficient of 2xy3

Answers

the coefficient is 2
2

The coefficient always comes before any unknowns, so for 2xy3, 2 is the coefficient.

How do I solve the ratio of somthin​

Answers

Add the ratio terms to get the whole. Use this as the denominator. 1 : 2 => 1 + 2 = 3.
Convert the ratio into fractions. Each ratio term becomes a numerator in a fraction. 1 : 2 => 1/3, 2/3.
Therefore, in the part-to-part ratio 1 : 2, 1 is 1/3 of the whole and 2 is 2/3 of the whole.

Factor this trinomial completely.15x²+11x-12
OA. (3x+3)(5x-4)
OB. (3x+4)(5x-3)
C. (x+3)(15x-4)
OD. (x+4)(15x-3)

Answers

Answer:

B

Step-by-step explanation:

given the trinomial

15x² + 11x - 12

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 15 × - 12 = - 180 and sum = + 11

the factors are + 20 and - 9 , since

+ 20 × - 9 = - 180 and + 20 - 9 = + 11

use these factors to split the x- term

15x² + 20x - 9x - 12 ( factor the first/second and third/fourth terms )

= 5x(3x + 4) - 3(3x + 4) ← factor out (3x + 4) from each term

= (3x + 4)(5x - 3)

In a certain manufacturing plant, the first operation can be done on any one of five machines, the second operation on only one machine, the third operation on any one of six machines, and the fourth operation on either of two machines. Over how many routes can the raw material be processed?14
56
60

Answers

Let's see all the steps: 
1)  operation  : 5 options
2) only one option: we ignore it
3) the third operation: 6 options
4): 2 options.


So we have 5 options, 6 options and 2 options: and they are independent of each other. This means that we multiply the numbers, and 5*6*2=60 So the answer is 60!

Answer:

c

Step-by-step explanation:
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