The volume of cuboid is given by the expression x3-2 x3-x-2- The dimension of the cuboid for x-5 is-A- 2 - 3 - 4B- 4 - 6 - 7C- 5 - 6 - 7D- 6 - 7 - 8

The correct option is B 4 × 6 × 7x3 + 2x2 x 2 = x2( x + 2) 1(x + 2) =(x + 2)(x2 1) = ( x+ 2) (x 1)(x +1) For x =5. dimension will be (5 +2), (5 1) (5 ...

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Standard IX

Mathematics

Multiplication of Numbers with Square Roots

The volume of...

Question

The volume of cuboid is given by the expression x³ + 2x³ – x - 2 . The dimension of the cuboid for x = 5 is:

2 × 3 × 4

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4 × 6 × 7

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6 × 7 × 8

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5 × 6 × 7

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Solution

The correct option is B
4 × 6 × 7

x³ + 2x² - x - 2

= x²( x + 2) - 1(x + 2)

=(x + 2)(x² - 1)

= ( x+ 2) (x -1)(x +1)

For x =5. dimension will be (5 +2), (5-1) (5+1)

So, the dimension of cuboid are 7, 4, 6.

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The volume of cuboid is given by the expression x³ + 2x² – x -2 . The dimension of the cuboid for x = 5 is:

Question 6

Which of the following expressions show that rational numbers are associative under multiplication.
(a) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5}$
(b) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = \frac{2}{3} \times (\frac{3}{5} \times \frac{- 6}{7})$
(c) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{3}{5} \times \frac{2}{3}) \times \frac{- 6}{7}$
(d) $(\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5} = (\frac{- 6}{7} \times \frac{2}{3}) \times \frac{3}{5}$

Question 6

Solve for x:
$\frac{x + 5}{6} - \frac{x + 1}{9} = \frac{x + 3}{4}$

Q. Coefficient of term

x y^{2}

in expression

4 x y^{2} + x^{3} - x^{5} + 2 x y^{2}

is:

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The volume of cuboid is given by the expression x3 + 2x3 – x - 2 . The dimension of the cuboid for x = 5 is:

The correct option is B 4 × 6 × 7x3 + 2x2 - x - 2 = x2( x + 2) - 1(x + 2) =(x + 2)(x2 - 1) = ( x+ 2) (x -1)(x +1) For x =5. dimension will be (5 +2), (5-1) (5+1) So, the dimension of cuboid are 7, 4, 6.

The volume of cuboid is given by the expression x³ + 2x³ – x - 2 . The dimension of the cuboid for x = 5 is:

The correct option is B
4 × 6 × 7

x³ + 2x² - x - 2

= x²( x + 2) - 1(x + 2)

=(x + 2)(x² - 1)

= ( x+ 2) (x -1)(x +1)

For x =5. dimension will be (5 +2), (5-1) (5+1)

So, the dimension of cuboid are 7, 4, 6.