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cupoosta [38]
3 years ago
8

Simplify completely the quantity x squared plus x minus 12 over quantity x squared minus x minus 20 divided by the quantity 3 x

squared minus 24 x plus 45 over quantity 12 x squared minus 48 x minus 60.
Mathematics
1 answer:
posledela3 years ago
4 0
X² + x - 12 / x² - x - 20  ÷ 3x² - 24x + 45 / 12x² - 48x - 60

x² + x - 12 / x² - x - 20 * 12x² - 48x - 60 / 3x² - 24x + 45

<u>(x² + x - 12)(12x² - 48x - 60)</u>
(x² - x - 20)(3x² - 24x + 45)

<span><u>12x^4 - 48x³ - 60x² + 12x³ - 48x² - 60x - 144x² + 576x + 720</u>
</span>3x^4 - 24x³ + 45x² - 3x³ + 24x² - 45x - 60x² + 480x - 900
<span>
<u>12x^4 - 48x³ + 12x³ - 60x² - 48x² - 144x² - 60x + 576x + 720</u></span>
3x^4 - 24x³ - 3x³ + 45x² + 24x² - 60x² - 45x + 480x - 900

<u>12x^4 - 36x³ - 252x² + 516x + 720</u>
3x^4 - 27x³ + 9x² + 435x - 900

<u>12(x^4 - 3x³ - 21x² + 43x + 60)  </u>
  3(x^4 - 9x³ + 3x² + 145x + 300)

<u>4(</u><span><u>x^4 - 3x³ - 21x² + 43x + 60)  </u>
</span><span>  (x^4 - 9x³ + 3x² + 145x + 300)</span>
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alexandr402 [8]

Answer:

Step-by-step explanation:

(0, 4) (2, 0)

(0-4)/(2-0) = -4/2 = -2

y - 4 = -2(x - 0)

y - 4 = -2x + 0

y = -2x + 4

8 0
3 years ago
What is the slope of the line that passes through the points (8, -4) and (2,6)
Elena-2011 [213]

Answer:

C -5/3

Step-by-step explanation:

y2-y1/x2-x1

6- -4/ 2-8

-5/3

7 0
3 years ago
In jims class, 5 times has many students take the bus as those who walk. A total of 24 students walk or take the bus. How many m
lubasha [3.4K]
Take bus=5 times walk
b=5w
b+w=24
sub 5w for b
5w+w=24
6w=24
divide both sides by 6
w=4

sub back
b=5w
b=5(4)
b=20

bus-walk=20-4=16

answer is 16 more take the bus than walk
 
7 0
3 years ago
Write the quotient as a mixed number.<br> 63 divided by 5 = 12 R3
Whitepunk [10]
12 1/4 because the original answer is 12 3/12 but you should simplify it to 12 1/4.
6 0
3 years ago
What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?
konstantin123 [22]

<u>Answer:</u>

<u>(6x^(3)+11x^(2)-19x+5)-:-(3x-2)</u>

<u>Step-by-step explanation:</u>63+112+32+1

for some reason it showed that but yeah hope this helps!

4 0
3 years ago
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