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Leto [7]
3 years ago
6

Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms. f(x) = (3x + 2)(−6x − 3)

Mathematics
2 answers:
SOVA2 [1]3 years ago
8 0
Believe the answer is d, though I’m not completely sure. hope this helps
Viktor [21]3 years ago
4 0

Answer:

The correct Option is C).  quadratic function; quadratic term: −18x²; linear term: −21x ; constant term: −6

Step-by-step explanation:

Given : f(x) = (3x + 2)(-6x - 3)

Now, f(x) = -18x² -9x -12x - 6

⇒ f(x) = -18x² - 21x - 6

Now, since the highest degree of the given function f(x) is 2 so the function f(x) is quadratic.

Now, quadratic term is one which has highest power x = 2 So, quadratic term = -18x²

Linear term is one which has  power x = 1 So, linear term = -21x

Constant term is one which has power of x = 0. So, constant term = -6

Hence, The correct Option is C).  quadratic function; quadratic term: −18x²; linear term: −21x ; constant term: −6

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What is the mass of a solid ball of iron with a radius equal to 18 cm if it is known that the density of iron is 7800 kg/m
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8 0
2 years ago
What is the hyperbola 25x^2-100y-9y^2-90x-350=0 in standard form?
sergij07 [2.7K]
WE need to complete the square on the x and y terms:-

25x^2 - 100x - 9y^2 - 90y = 350
25(x^2 - 4x +    ) - 9(y^2 + 10x       )  =   350 + 25(  )  - 9(  )
25(x^2 - 4x  + 4 ) - 9(y^2 + 10x  + 25)  = 350  + 25(4)  - 9(25)
25(x - 2)^2 - 9(y + 5)^2 = 

25(x - 2)^2   -  9(y + 5)^2          =  225
----------------    --------------            --------
    225                 225                    225

  ( x  - 2)^2         (y + 5)^2  
  -------------   -   --------------  =    1         Answer
        9                    25                               



4 0
3 years ago
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