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MA_775_DIABLO [31]
3 years ago
15

Evaluate the operations on the given functions, f(x) and g(x), in the provided table

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

Answer:

x² + 6x + 9

x² + 4x + 3

x³ + 8x² + 21x + 18

x + 2

Step-by-step explanation:

Given in the question two functions,

f(x) = x² + 5x + 6

g(x) = x + 3

1) (f+g)(x)

(x² + 5x + 6) + (x + 3)

x² + 5x + x + 6 + 3

x² + 6x + 9

2) (f-g)(x)

(x² + 5x + 6) - (x + 3)

x² + 5x - x + 6 - 3

x² + 4x + 3

3) (f.g)(x)

(x² + 5x + 6) . (x + 3)

x³ + 5x² + 6x + 3x² + 15x + 18

x³ + 8x² + 21x + 18

4) (f/g)(x)

(x² + 5x + 6) / (x + 3)

              (x + 2)

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

(x + 3) | (x² + 5x + 6)

            x²  + 3x

             --------------------

                   2x + 6

                   2x + 6

                   -----------------

                             0

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Urgent help, please!.....
pishuonlain [190]

To solve this problem, we want to get all of the possible options into the same form, so that it is easier to compare them. Personally, I prefer comparing in decimals, so that is how I am going to solve this problem.


13/4 - To turn this improper fraction into its decimal equivalent, it is easier to first turn it into a mixed number by dividing the numerator by the denominator.

13/4 = 3 1/4

Because we know that 1/4 = 0.25, we now know that 3 1/4 = 3.25

Therefore, 13/4 = 3.25


3 1/2 - This is similar to the end of the process above. We know that 1/2 = 0.5, so we know that 3 1/2 = 3.5

3 1/2 = 3.5


3.15 is already in its decimal form, so we can leave that be for now.


√9 - To simplify this, we must figure out what number multiplied by itself equals 9. If we start with 2 (2*2 = 4), so that is too small. Next maybe we try 4 (4 * 4 = 16), so that is too large. Now we know we need a number in between 2 and 4, so maybe we try 3. 3 * 3 = 9, so we can conclude that √9 = 3.

√9 =3


If we take all of our decimal equivalents, we have 3.25, 3.5, 3.15, and 3.


Because all of these values have the same whole number value of 3, we need to compare the decimals to find out what order they belong in.


Our final order is (from smallest to largest): 3, 3.15, 3.25, 3.5


But, we need to substitute in the equivalent values we were given for these decimals originally to finish the problem.


This makes your final answer: √9, 3.15, 13/4, 3 1/2


Hope this helps!

4 0
3 years ago
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Kazeer [188]

Answer:

15

Step-by-step explanation:

so when we make 1 1/2 into an improper fraction it is 3/2 so what do they have in common, that is 15/10 so its 15

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4 X 10⁴) + (6 x 10²)​
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Answer:40,600

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The volume of a rectangular prism is 2x^3+9x^2-8x-36 with height x + 2. Using synthetic division, what is the area of the base?
navik [9.2K]

Answer:

Area of the base = 2x^2+5x-18

Step-by-step explanation:

We know that volume of rectangular prism = (Area of base) x (Height)

or [Area of base] = [Volume]/[Height]

So basically we need to divide given area by given height to find the answer.

given height is (x+2) that means (x+2) must be factor of volume equation

or x=-2 must be root of volume equation so write down coefficients of volume equation then we divide by -2 as shown in attached picture.

Last digit on the right is always remainder.

Remaining coefficients {2, 5, -18} will give the area equation: 2x^2+5x-18

Hence final answer is:

Area of the base = 2x^2+5x-18


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