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Anika [276]
3 years ago
10

3. Five less than twice a number is 7.

Mathematics
2 answers:
Ainat [17]3 years ago
8 0

Answer: 2a -5 = 7    and a = 6

Step-by-step explanation:

If 5 is less than twice a, the the expression will be  2a -5, since 2 a is the same as 2 times a, and 5 less than 2a is the same as subtracting 5 from 2a. "is" is the same as equal to, so the whole expression has to equal 7.

2a - 5 = 7   You can solve for a by adding 5 to both sides.

   +5    +5

2a = 12         Now divide both sides by 2.

a =  6.

Vera_Pavlovna [14]3 years ago
7 0

Answer:

2x-5=7 As an expression

x=6

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Answer:

Step-by-step explanation:

-2x-14+10x=34

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Pls help with 29..tank you
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Answer:

See below

Step-by-step explanation:

Let the  2 roots be  A and A^2.

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Using the identity a^3 b^3 = (a + b)^3 - 3ab^2 - 3a^2b:-

A^3 + (A^2)^3 =  ( A + A^2)^3 - 3 A.A^4 - 3 A^2. A^2

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Factoring:-

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This is not the formula required in the question but let's see if the formula in the question reduces to this. If it does we have completed the proof.

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ca^3 - 3a^2bc + 3acb^2 - cb^3 = ac^3 - 3abc^2 + 3acb^2 - ab^3

The 3acb^2 cancel out so we have:-

a^3c - ac^3 =  3a^2bc - 3abc^2 + b^3c - ab^3

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ac(a + c)(a -c) = 3abc(a - c) - b^3 (a - c)

Divide through by (a - c):-

ac(a + c) = 3abc - b^3 , which is the result we got earlier.

This completes the proof.

 

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