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pishuonlain [190]
4 years ago
9

Which expression is a factor of 10x^2+11x+3

Mathematics
1 answer:
Ulleksa [173]4 years ago
5 0

Answer:

The factors are (5x + 3) and (2x + 1)

Step-by-step explanation:

When you need to factor a quadratic, and the coefficient of the x² is not 1, use the slide and divide method.

The general form of a quadratic is ax² + bx + c

Factor:  10x² + 11x + 3

Here a = 10, b = 11, and c = 3

Step 1:  Multiply ac, we SLIDE a over to c.  Notice the 10 is gone for now..

    x² + 11x + 30

Step 2:    Factor this   (this step will always factor)

  x² + 11x + 30 = (x + 5)(x + 6)

So the factors are  (x + 5)(x + 6), but we now need to DIVIDE by a, since we multiplied it into c before.  We divide the constants in the factors...

   (x + 5/10 )(x + 6/10 )  

Now reduce the fractions as much as possible...

(x + 1/2 )(x + 3/5)

*If they don't reduce to a whole number, SLIDE the denominator over as a coefficient of x....

(2x + 1)(5x + 3)        *2 slide over in front of x, 5 slide over in front of x, the fractions are gone!

These are our factors!

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Use the graph showing Maggie's account balance to answer the question that follows.
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3 years ago
Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?
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From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).

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

  • The function (f - g)(x) is given by: (f - g)(x) = f(x) - g(x)
  • Thus, it will be positive if: f(x) > g(x)
  • Looking at the table, and considering that it is a linear function, we have that f(x) > g(x) if x < -2.
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A similar problem is given at brainly.com/question/24388889

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gizmo_the_mogwai [7]

Answer:

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