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Ilya [14]
3 years ago
7

(12x³+x²)-(18x³-3²+6)

Mathematics
1 answer:
Trava [24]3 years ago
4 0
Answer is
-6x^3+x^2+3



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9. Combine the radical expression, if possible.
Anastaziya [24]

Answer:

we conclude that:

3\sqrt{125}+4\sqrt{20}=23\sqrt{5}    

Hence, the last option i.e. 23\sqrt{5} is correct.                      

Step-by-step explanation:

Given the expression

3\sqrt{125}+4\sqrt{20}

Combining the radical expressions

3\sqrt{125}+4\sqrt{20}

let us first solve

3\sqrt{125}

=3\sqrt{5^3}

=3\sqrt{5^2\cdot \:5}

Apply radical rule:  \sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0,\:b\ge 0

=3\sqrt{5^2}\sqrt{5}

Apply radical rule:   \sqrt{a^2}=a,\:\quad \:a\ge 0

=3\cdot \:5\sqrt{5}

=15\sqrt{5}

Thus,

3\sqrt{125}=15\sqrt{5}

similarly solving

4\sqrt{20}

=4\sqrt{2^2\cdot \:5}

Apply radical rule:  \sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0,\:b\ge 0

=4\sqrt{2^2}\sqrt{5}

Apply radical rule:   \sqrt{a^2}=a,\:\quad \:a\ge 0

=4\cdot \:2\sqrt{5}

=8\sqrt{5}

Thus,

4\sqrt{20}=8\sqrt{5}

so we get

3\sqrt{125}=15\sqrt{5}

4\sqrt{20}=8\sqrt{5}

so the expression becomes

3\sqrt{125}+4\sqrt{20}=15\sqrt{5}+8\sqrt{5}        ∵ 3\sqrt{125}=15\sqrt{5} , 4\sqrt{20}=8\sqrt{5}

                        =23\sqrt{5}                   ∵ 15\sqrt{5}+8\sqrt{5}=23\sqrt{5}

Therefore, we conclude that:

3\sqrt{125}+4\sqrt{20}=23\sqrt{5}    

Hence, the last option i.e. 23\sqrt{5} is correct.                    

7 0
3 years ago
Solve for x<br> angle given: 32<br> answer choices<br> -64<br> -32<br> -90<br> -58
marishachu [46]

Answer:

58

Step-by-step explanation:

Angle NPO is a right angle, then the angle 32 is equal to angle PNO, so x = 90 - 32 = 58.

3 0
3 years ago
Taymoor is going to apply for two different jobs. He estimates that
Ostrovityanka [42]

Answer:

0.58

Step-by-step explanation:

The probability that Taymoor gets at least one job is a  sum of probabilities of 3 events:

1.He gets Job 1 (P(1.yes)= 0.3) and doesn't get the job 2 (P(2.not)=1-0.4=0.6)

P(1.yes,2.not)=P(1.yes)*P(2.not)=0.3*0.6=0.18

2. He doesn't get job1 (P(1.not)= 1-03=0.7 ) and gets job2(P2.yes)=0.4)

P(1.not,2.yes)=P(1.not)*P(2.yes)=0.7*0.4=0.28

3. He gets  job1 (P(1.yes)= 0.3 ) and gets job2(P2.yes)=0.4)

P(1.yes,2.yes)=P(1.yes)*P(2.yes)=0.3*0.4=0.12

The resulted probability is P(gets job)= 0.18+0.28+0.12=0.58

6 0
4 years ago
Give an original example of a situation in which the Distributive Property could be used.
mixer [17]
18(3+14) x 6(21+4) is an example I just came up with you distribute the 18 to the 3 and the 4. And distribute the 6 to 21 and 4.
3 0
3 years ago
1. A caterer charges a flat fee plus $8.50 per
Korolek [52]

Answer:

$1,324

Step-by-step explanation:

$8.50 * 65 = $552.50. $601.50 - $552.50 = $49. So the flat fee would be $49.

$8.50* 150 = $1,275. With the flat fee it would be $1,275+$49 = $1,324.

8 0
3 years ago
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