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Alexeev081 [22]
3 years ago
11

For what values of a is the value of the binomial 2a−1 smaller than the value of the binomial 7−1.2a by 7?

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
7 0

ANSWER

a =  \frac{5}{16}

EXPLANATION

We want to find the value of a for which the binomial, 2a-1 is smaller than the value of the binomial 7-1.2a by 7.

This means that, when we subtract 2a-1 from 7-1.2a, we should get 7.

7 - 1.2a - (2a - 1) = 7

Expand:

7 - 1.2a - 2a  + 1= 7

Group similar terms:

- 1.2a - 2a = 7 - 7 - 1

- 3.2a =   - 1

Divide both sides by -3.2,

a =  \frac{ - 1}{ - 3.2}

a =  \frac{5}{16}

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