3 years ago

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Mathematics

1 answer:

kap26 [50]3 years ago

6 0

Answer:

(a) -12

(b) 37

Step-by-step explanation:

We simply have to plug in the values for each expression.

2 + -3(3) - 5 = 2 + -9 - 5 = -7 - 5 = -12

5(2) - 4(-3) + 3(5) = 10 - -12 + 15 = 10 + 12 + 15 = 22 + 15 = 37

7(2^3)(-3)(5) = 7(8)(-15) = 56(-15) = -840

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15 / √31 - 4

NeX [460]

Answer:

$\frac{15}{ \sqrt{31} - 4}} = \sqrt{31} + 4$

Step-by-step explanation:

$\frac{15}{\sqrt{31} - 4}\\\\=\frac{15}{\sqrt{31} - 4} \times \frac{\sqrt{31} + 4}{\sqrt{31}+ 4} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ rationalizing \ the \ denominator \ ]\\\\=\frac{15( \sqrt{31} + 4 )}{(\sqrt{31})^2 - (4)^2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ (a-b)(a+b) = a^2 - b^2 \ ]\\\\=\frac{15 ( \sqrt{31} + 4)}{31 - 16}\\\\=\frac{15 (\sqrt{31} + 4)}{15}\\\\= \sqrt{31} + 4$