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cupoosta [38]
1 year ago
10

Why does it make sense that 4 x (-3) and -3 x 4 have the same product?

Mathematics
1 answer:
Contact [7]1 year ago
7 0

Answer:

hello!!!

We will learn it simple method,we know that multiplication of whole numbers is repeated addition. For example

3*4= 4+4+4

in this same way we can say that

[-12]=(-3)+(-3)+(-3)+(-3)

also,

4(*-3)=(-12)

for the second equation we can take it same as the above one

So it make no diffrence when we multiplied integers as (positive)*(negative) OR (NEGATIVE)*(POSITIVE)

And so now we can say

FOR ANY TWO POSITIVE INTEGER a and b WE CAN SAY

 (-a) *(b) = (-b)*(a) = -(a*b)

HOPE FULLY U MAY LIKED MY ANSWER GIVE POSITIVE FEEDBACK AND IF WANTS ANYTHING OTHER YOU MAY ASK ME IN COMMENT

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Ross and 5 of his friends are going kayaking. They rented 6 kayaks for 420. then they brought food for all 6 people , which cost
Elis [28]
I think the correct answer would be : $94
adding $420 + $144 = 564
then divide 564 and 6 to get 94.
6 0
3 years ago
Chris is using the expression 4x + 2 to represent the number of students in his gym class. There are four times as many students
vladimir2022 [97]
D: the basketballs.
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5 0
4 years ago
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What is (-2xy^3z^-2)^3(2x^2y^4z)^-2 simplified?
ser-zykov [4K]

Answer: 3 23 divided by 22 = 2(3 - 2) = 21 = 2 think it’s 2

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

(2): "y4" was replaced by "y^4".

STEP

1

:

Equation at the end of step 1

(((0-((2x•(y3))•z))-2)3)•(((2x2•y4)•z)-2)

STEP

2

:

Equation at the end of step

2

:

(((0 - (2xy3 • z)) - 2)3) • (2)(-2)x(-4)y(-8)z(-2)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Simplify ( -2xy3z-2 )3

Put the exponent aside and simplfy the base by pulling out like factors :

-2xy3z-2 = -2 • (xy3z+1)

Remember the 4th law of exponents : (a • b)m= am• bm

Retract the exponent and apply the 4th law to the simplified base: ( -2 • (xy3z+1) )3 = (-2)3 • (xy3z+1)3

Trying to factor as a Sum of Cubes:

4.2 Factoring: xy3z+1

Put the exponent aside, try to factor xy3z+1

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : 1 is the cube of 1

Check : x 1 is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Dividing exponents:

4.3 23 divided by 22 = 2(3 - 2) = 21 = 2

Final result :

-2 • (xy3z + 1)3

————————————————

x12y24z6

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What is the explicit rule for the sequence?
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Answer:

i think the answer would be -8n-65

Step-by-step explanation:

its subtracting by 8 so it would be -65,-57.-49...........................

3 0
4 years ago
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