Question

If x=3/20,Find the value of (4x -9)×(10x +2).

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Answer 1

Answer:

-29.6

Step-by-step explanation:

$(4x - 9) \times (10x + 2)$

$= (4 \times \frac{3}{20}) - 9 \times (10 \times \frac{3}{20} ) + 2$

$= \frac{3}{5} - 9 \times \frac{3}{2} + 2$

$= \frac{3 - 45}{5} \times \frac{3 + 4}{2}$

$= \frac{ - 42}{5} \times \frac{7}{2}$

$= \frac{ - 294}{10}$

$= - 29.4$

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Answer 2

#Solution :

• (4x - 9)(10x + 12)

$\: \:$

$\large \rm \looparrowright \boxed{ \rm \: value : x = \dfrac{3}{20} }$

$\: \:$

$\large\implies \: \left( \: 4 \ \times \dfrac{3}{20} - 9\right) \left( 10 \times \dfrac{3}{20} + 12 \right)$

$\:$

$\large\implies \: \left( \cancel4 \ \times \dfrac{3}{ \cancel{20} \: \: \: 5 } - 9\right) \left( 1 \cancel0 \times \dfrac{3}{2 \cancel0} + 12 \right)$

$\:$

$\large\implies \: \left( \: \dfrac{3}{5} - 9\right) \left( \dfrac{3}{2} + 12 \right)$

$\:$

• Take L.C.M

$\: \:$

$\large\implies \: \left( \: \dfrac{3 - 45}{5} \right) \left( \dfrac{3 + 24}{2} \right)$

$\:$

$\large\implies \: \left( \: \dfrac{ - 42}{5} \right) \left( \dfrac{27}{2} \right)$

$\:$

$\large\implies \: \left( \: \dfrac{ - \cancel{ 42} \: \: \: - 21}{5} \right) \left( \dfrac{27}{ \cancel2} \right)$

$\:$

$\large\implies \: \dfrac{21}{5} \times 27$

$\:$

$\: \: \large \boxed{ \red{ \large = \: \dfrac{567}{5} = 113.4}}$