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rosijanka [135]
3 years ago
14

PLZZ HELPP!!! WILL GIVE BRAINLIEST!!!

Mathematics
2 answers:
lutik1710 [3]3 years ago
3 0

Answer:B. 2x^2 + 4x - 1 - 9/4x + 1

Step-by-step explanation:

f(x) = 8x^3 + 18x^2 − 10

g(x) = 4x + 1

We want to determine f(x)/g(x). We would apply the long division method. The steps are shown in the attached photo.

The correct answer is

2x^2 + 4x - 1 - 9/4x + 1

adoni [48]3 years ago
3 0

Answer:

\text{B. }2x^{2} - 4x - 1 - \dfrac{9}{4x + 1}

Step-by-step explanation:

One way is to use long division.

          <u>2x² +  4x           -   1 </u>            

4x + 1) 8x³ + 18x²         - 10

          <u>8x³  +  2x²       </u>              

                    16x²

                    <u>16x² + 4x        </u>      

                              -4x - 10

                              <u>-4x -   1 </u>

                                    -   9

\dfrac{8x^{3} + 18x^{2} - 10} {4x+1} = 2x^{2} - 4x - 1 - \dfrac{9}{4x + 1}

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gulaghasi [49]

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Area of triangle = 1/2 x base x height  = 1/2 x 6 x 4 = 12 square feet.

Volume = 12 x 8 = 96 cubic feet.

Surface area = area of two triangles ( front and back ) , which we calculates the area of one in Part A, plus the surface area of the two sides plus the area of the bottom:

Area of two triangles = 12 x 2 = 24 square feet.

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Luden [163]

The problem statement gives a relation between the amount removed from one bag and the amount removed from the other. It asks for the amount remaining in each bag. Thus, there are several choices for variables in this problem, some choices resulting in more complicated equations than others.

Let's do it this way: let x represent the amount remaining in bag 1. Then the amount removed from bag 1 is (100-x). The amount remaining in bag 2 is 2x, so the amount removed from that bag is (100-2x). The problem statement tells us the relationship between amounts removed:

... (100 -x) = 3(100 -2x)

... 100 -x -3(100 -2x) = 0 . . . . . . subtract the right side

... 5x -200 = 0 . . . . . . . . . . . . . . eliminate parentheses and collect terms

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... x = 40 . . . . . . . . . . . . . . . . . . . add 40

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<u>Check</u>

The amount removed from the first bag is 60 kg. The amount removed from the second is 20 kg. The amount removed from the first bag is 3 times the amount removed from the second bag, as described.


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3 years ago
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Sati [7]
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