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Julli [10]
3 years ago
14

What is f(x)/g(x) when f(x) = 6x^3 - 19x^2 + 16x - 4 and g(x) = x - 2

Mathematics
1 answer:
Gelneren [198K]3 years ago
4 0

Answer:

6x^2 - 7x + 2.

Step-by-step explanation:

Use long multiplication:

          6x^2 - 7x + 2   <--------------Answer.

         ---------------------------------

x - 2 )  6x^3 - 19x^2 + 16x - 4

          6x^3 - 12x^2

          ------------------

                     -7x^2 + 16x

                     -7x^2 + 14x

                     ------------------

                                  2x - 4

                                   2x - 4

                                   --------------

                                          ......

                 

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zavuch27 [327]

Answer: 28

Step-by-step explanation: Break down the structure into 3, you have 3 shapes.

1. Square 4×4=16

2.2.Rectangle 4×2=8

3.Triangle = 1/2b×h=1/2×2×4=4

Total 16+8+4=28

Check picture

5 0
2 years ago
Read 2 more answers
At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 32% of courses have a res
Ghella [55]

Answer:

a) P(F UR) = P(F) +P(R) -P(F and R) = 0.72+0.46-0.32=0.86

b) P(FUR)' = 1-P(FUR)= 1-0.86 = 0.14

Step-by-step explanation:

Let's define the following events first:

F: The event that a course has a final exam.

R: The event that a course requires a research paper

From the info provided we have that:

P(F) = 0.72, P(R) =0.46 P(F and R) =0.32

So then we can create a Venn diagram as we can see on the figure attached.

a. Find the probability that a course has a final exam or a research project.

For this case we can find the probability like this:

P(F UR) = P(F) +P(R) -P(F and R) = 0.72+0.46-0.32=0.86

b. Find the probability that a course has NEITHER of these two requirements.

For this case we can use the complement rule and we can find the probability like this:

P(FUR)' = 1-P(FUR)= 1-0.86 = 0.14

And that's the same value obtained with the diagram.

8 0
3 years ago
2.375 divided by 0.05
Xelga [282]
Well, you calculate 237.5 divided by 5. This is 47.5.
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Step-by-step explanation:

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Answer: its the first answer choice

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