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3 years ago

Correctly compare the numbers. 0.9 1.1 1. = 2. < 3. >

Mathematics

1 answer:

creativ13 [48]3 years ago

6 0

Answer:

2. <

Step-by-step explanation:

A units digit of 0 is less than a units digit of 1, so ...

0.9 < 1.1

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2 years ago

Read 2 more answers

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Anuta_ua [19.1K]

Option A:

$\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)=12 x^{9} +15 x^{8} - 8 x^{6}-10 x^{5}$

Solution:

Given expression $\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)$ .

To find the product of the above expression:

$\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)$

First multiply first two factors with each term.

$=(x^{4} \times 3 x^{3}- x^{4} \times 2 ) \left(4 x^{2}+5 x\right)$

Using exponent rule: $a^m \cdot a^n=a^{m+n}$

$=(3 x^{7}- 2x^{4} ) \left(4 x^{2}+5 x\right)$

Now multiply these two factors with each term.

$=3 x^{7} (4 x^{2}+5 x)- 2x^{4} \left(4 x^{2}+5 x\right)$

$=(4 x^{2} \times 3 x^{7} +5 x \times 3 x^{7} )- \left(4 x^{2} \times 2x^{4}+5 x \times 2x^{4}\right)$

Using exponent rule: $a^m \cdot a^n=a^{m+n}$

$=(12 x^{9} +15 x^{8} )- (8 x^{6}+10 x^{5})$

$=12 x^{9} +15 x^{8} - 8 x^{6}-10 x^{5}$

$\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)=12 x^{9} +15 x^{8} - 8 x^{6}-10 x^{5}$

Hence option A is the correct answer.

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3 years ago