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ASHA 777 [7]
3 years ago
7

Factor the expression: 12x^2-4x-40

Mathematics
1 answer:
damaskus [11]3 years ago
7 0

Answer:

4(3x+5)(x-2)

Step-by-step explanation:

12x^2-4x-40\\\\\mathrm{Factor\:out\:common\:term\:}4:\\\quad 4\left(3x^2-x-10\right)\\\\\mathrm{Factor}\:3x^2-x-10:\quad \left(3x+5\right)\left(x-2\right)\\\\=4\left(3x+5\right)\left(x-2\right)

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The sum of the two is -1.76
-2.2 + 0.44
=-1.76
4 0
3 years ago
What is <img src="https://tex.z-dn.net/?f=%28x%E2%88%928%29%282x%2B3%29%3D%283x%E2%88%925%29%28x%2B4%29%5C%5C" id="TexFormula1"
Softa [21]

Answer:

-x^2 - 20x -4 = 0

Step-by-step explanation:

I assume you meant (x-8)(2x+3) = (3x-5)(x+4).

Perform the two indicated multiplications and then combine like terms:

2x^2 + 3x - 16x - 24 = 3x^2 + 12x - 5x - 20

Combine the x terms on each side:

2x^2 - 13x - 24 = 3x^2 + 7x - 20

Subtract 3x^2 from both sides:

-x^2 - 13x - 24 = 7x - 20

Subtract 7x from both sides:

-x^2 - 20x - 24 = -20

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6 0
3 years ago
A company surveyed 1000 people on their age and the number of jeans purchased annually. The results of the poll are shown in the
Solnce55 [7]

Answer:

a) 0.437; b) 0.291

Step-by-step explanation:

For part a,

There are 280+210 = 490 people that are over 18 years old.  Out of these, 119+95 = 214 purchase 2 pairs of jeans annually.  This is

214/490 ≈ 0.437

For part b,

There are 87+69+74+11 = 241 people who purchase 3 or more pairs of jeans.  There were a total of 220+290+280+210 = 1000 people; this means there were 759 people tho purchased fewer than 3 pairs of jeans.  

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8 0
3 years ago
Find the area of the following ​
pashok25 [27]

Answer:

24000 ft²

Step-by-step explanation:

<h3>Triangle PRS:</h3>

          b = base = PR = 240 ft

      2AS = 240 ft

       \sf AS = \dfrac{240}{2}\\\\     AS = 120 \ ft

         h  = height = AS  = 120 ft

      \sf \boxed{\bf \ Area \ of \ triangle = \dfrac{1}{2}b*h}

                                       \sf =\dfrac{1}{2}*240*120\\\\     = 120 * 120\\\\    = 14400 \ ft^2

<h3>Triangle PRQ:</h3>

          b = PR = 240 ft

     3BQ = 240 ft

        \sf BQ = \dfrac{240}{3}\\\\  BQ = 80 \ ft

\sf Area \ of \ triangle \ PRQ = \dfrac{1}{2}*240*80

                                 = 120 * 80

                                 = 9600 ft²

Area of the quadrilateral PQRS = area of ΔPRS + area of ΔPRQ

                                                    =  14400 + 9600

                                                    = 24000 ft²

5 0
2 years ago
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Vlada [557]

Answer:

P(green then purple)=P(green)*P(purple) since there's replacement.

5 0
4 years ago
Read 2 more answers
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