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Levart [38]
3 years ago
8

-5(4m - 2) = -2/3 + 6m).​

Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

Answer:

m=16/39

Step-by-step explanation:

-5(4m-2)=-2/3+6m

-20m+10=-2/3+6m

-20m-6m=-2/3-10

-26m=-2/3-30/3

-26m=-32/3

26m=32/3

m=(32/3)/26

m=(32/3)(1/26)

m=32/78

m=16/39

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Total price after 6 years in Account I is :

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3 years ago
A prestigious program accepts 2 out of every 9 applicants per yer. if the program accepted 360 applicants, how many applicants w
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3 0
1 year ago
Write these as a product
Oxana [17]

<u>Ans</u><u>wer</u>

a)

{(2b - 5)}^{2}  - 36 =( 2b - 11)(2b  +  1)

b)

9 -  {(7 + 3a)}^{2}  =  (3a - 4)(3a + 11)

c)

( {4 - 11m)}^{2}  - 1 =( 3 - 11m )( 5 - 11m )

<u>Explanation</u>

a) The given expresion is

{(2b - 5)}^{2}  - 36

We rewrite as difference of two squares

{(2b - 5)}^{2}  - 36 = {(2b - 5)}^{2}  -  {6}^{2}

Recall that:

{x}^{2}  -  {y}^{2}  = (x + y)(x - y)

This implies that:

{(2b - 5)}^{2}  - 36 =( {(2b - 5)} -6)(2b - 5 )+ 6)

Or

{(2b - 5)}^{2}  - 36 =( 2b - 5-6)(2b - 5 + 6)

This simplifies to give:

{(2b - 5)}^{2}  - 36 =( 2b - 11)(2b  +  1)

b) The second expression is

9 -  {(7 + 3a)}^{2}

We rewrite as perfect squares yo get:

9 -  {(7 + 3a)}^{2}  =  {3}^{2} -  {(7 + 3a)}^{2}

This gives:

9 -  {(7 + 3a)}^{2}  =  ({3} -  {(7 + 3a)})({3}  +  {(7 + 3a)})

This implies that

9 -  {(7 + 3a)}^{2}  =  ({3} -  7 + 3a)({3}  + 7 + 3a)

We simplify to get:

9 -  {(7 + 3a)}^{2}  =  (3a - 4)(3a + 11)

c) The third expression is:

( {4 - 11m)}^{2}  - 1

We obtain the difference of two squares as:

( {4 - 11m)}^{2}  - 1 =( ( {4 - 11m)}  - 1 )( ( {4 - 11m)}  + 1 )

We simplify within the parenthesis to get:

( {4 - 11m)}^{2}  - 1 =( 4 - 11m  - 1 )( 4 - 11m+ 1 )

We simplify further to get;

( {4 - 11m)}^{2}  - 1 =( 3 - 11m )( 5 - 11m )

4 0
3 years ago
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