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Ugo [173]
2 years ago
8

4+5

rac{x}{y} 3x^{2} - 3x^{2}" alt="4+5\frac{x}{y} 3x^{2} - 3x^{2}" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Ronch [10]2 years ago
5 0

Answer:

58 +  \frac{ {15x}^{3} }{y}  -  {3x}^{2}

Step-by-step explanation:

1) Use this rule: a/b × c/d = ac/bd.

4 + 54 +  \frac{5x \times  {3x}^{2} }{y}  -  {3x}^{2}

2) Take out the constants.

4+54 +  \frac{(5 \times 3) {xx}^{2} }{y}  -  {3x}^{2}

3) Simplify 5 × 3 to 15.

4 + 54 +  \frac{ {15xx}^{2} }{y}  -  {3x}^{2}

4) Use the product rule: x^a x^b = x^a + b.

4 + 54 +  \frac{15xx^{2} }{y}  - 3x^{2}

5) Simplify 1 + 2 to 3.

4 + 54 +  \frac{15 {x}^{3} }{y}  -  {3x}^{2}

6) Collect like terms.

(4 + 54) +  \frac{15 {x}^{3} }{y}  -  {3x}^{2}

7) Simplify.

58 + \frac{ {15x}^{3} }{y}  -  {3x}^{2}

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>58</u><u> </u><u>+</u><u> </u><u>15x</u><u>³</u><u> </u><u>/</u><u> </u><u>y</u><u> </u><u>-</u><u> </u><u>3x</u><u>²</u>.

evablogger [386]2 years ago
3 0
DONT TRUST LINKS ! They not even helping you
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At a track meet, Tim ran at a constant speed of 300 meters per minute. After 8 minutes, he still had 600 meters left to run. The
gregori [183]
Okay so 300 meters per minute and he ran 8 minutes..

300x8=2400

He still had 600 left to go...

2400+600=3,000

He had to run three times longer than Eric...

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Does that make sense?
8 0
3 years ago
Tell whether the sequence is arithmetic. If it is, what is the common difference?
Ilya [14]
The answer is B. Yes; 4

Arithmetic sequence is the type of sequence of numbers which difference between each number will always remain constant
in the sequence above we could see the difference between one number with another is exactly 4:

15 + 4 = 19

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7 0
3 years ago
Factor. Explain.<br> 24x³y²-4x²y+84x^4
Elan Coil [88]

Answer:

\boxed{\bold{4x^2\left(6xy^2-y+21x^2\right)}}

Step By Step Explanation:

Apply Exponent Rule \bold{\:a^{b+c}=a^ba^c}

\bold{x^4=x^2x^2,\:x^3y^2=x^2x}

\bold{24x^2x-4x^2y+84x^2x^2}

Rewrite 84: \bold{21\cdot \:4}

Rewrite 24: \bold{6\cdot \:4}

\bold{6\cdot \:4x^2x-4x^2y+21\cdot \:4x^2x^2}

Factor Out Common Term \bold{4x^2}

\bold{4x^2\left(6xy^2-y+21x^2\right)}

➤ \boxed{\bold{Mordancy}}

6 0
2 years ago
Simplify completely quantity x squared minus 3 x minus 54 over quantity x squared minus 18 x plus 81 times quantity x squared pl
oee [108]
Your statemtent is incomplete.

I found the samestatment with the complete words: <span>Simplify completely quantity x squared minus 3 x minus 54 over quantity x squared minus 18 x plus 81 times quantity x squared plus 12 x plus </span>36 over x plus 6

Given that your goal is to learn an be able to solve any similar problem, I can teach you assuming that what I found is exactly what you need.

x^2 - 3x - 54            x^2 + 12x + 36
------------------    x   ---------------------
x^2 - 18x + 81              x + 6

factor x^2 - 3x - 54 => (x - 9)(x + 6)

factor x^2 - 18x + 81 => (x - 9)^2

factor x^2 + 12x + 36 = (x + 6)^2

Now replace the polynomials with the factors=>

(x - 9) (x + 6) (x + 6)^2        (x + 6)^2       x^2 + 12x + 36
------------------------------ =  --------------- = --------------------
    (x - 9)^2 (x + 6)                 (x - 9)               x - 9

4 0
3 years ago
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