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AfilCa [17]
2 years ago
5

Good morning everyone :)​

Mathematics
1 answer:
Triss [41]2 years ago
5 0

Answer:

Good Morning

:)

Step-by-step explanation:

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WILL GIVE BRAINLIEST
mafiozo [28]

Answer:

(6x - 1) • (2x + 9)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((22•3x2) +  52x) -  9

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  12x2+52x-9  

The first term is,  12x2  its coefficient is  12 .

The middle term is,  +52x  its coefficient is  52 .

The last term, "the constant", is  -9  

Step-1 : Multiply the coefficient of the first term by the constant   12 • -9 = -108  

Step-2 : Find two factors of  -108  whose sum equals the coefficient of the middle term, which is   52 .

     -108    +    1    =    -107  

     -54    +    2    =    -52  

     -36    +    3    =    -33  

     -27    +    4    =    -23  

     -18    +    6    =    -12  

     -12    +    9    =    -3  

     -9    +    12    =    3  

     -6    +    18    =    12  

     -4    +    27    =    23  

     -3    +    36    =    33  

     -2    +    54    =    52    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  54  

                    12x2 - 2x + 54x - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (6x-1)

             Add up the last 2 terms, pulling out common factors :

                   9 • (6x-1)

Step-5 : Add up the four terms of step 4 :

                   (2x+9)  •  (6x-1)

            Which is the desired factorization

HOPE IT HELPS! :))

8 0
2 years ago
In which of these ecosystems do nutrients cycle the most quickly?
yarga [219]

Answer:

Tropical rain forest

Step-by-step explanation:

Because the tropical rainforest is so humid and hot, it cycles the quickest.

Brainiest plz!

4 0
3 years ago
What is the volume of this rectangular prism?
sergiy2304 [10]

Answer:

V =\frac{12}{5}\ cm^3

Step-by-step explanation:

<u>The Volume of Rectangular Prism</u>

Given a rectangular prism of dimensions W, L, and H, its volume is the product of the three dimensions:

V = WLH

The figure shows the dimensions:

L=3 cm

W=\frac{4}{3}\ cm

H=\frac{3}{5}\ cm

Thus, the volume is:

V =3*\frac{4}{3}*\frac{3}{5}\ cm^3

V =\frac{36}{15}\ cm^3

Simplifying:

\boxed{V =\frac{12}{5}\ cm^3}

5 0
3 years ago
What is the density of the oak board, it's 5.5 inches wide, 1.5 inches thick , 3 feet long and weighs 8.05 lbs? Please show work
laiz [17]

Answer:

37 - 56 lb / ft3

0.6 - 0.9 103 kg / m3

Step-by-step explanation:

The density or hardness of wood varies by species, and the value is necessary to approximate the weight of lumber by volume. In this table, the density of different species of wood is expressed as weight in pounds per cubic foot and kilograms per cubic meter. The density will vary based on the moisture content of the wood.

8 0
3 years ago
Suppose f(x)=x^2 -8 evaluate f(2)-f(3)​
Westkost [7]

Answer:

f(2)= -4 f(3)= 1

Step-by-step explanation:

8 0
3 years ago
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