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Eddi Din [679]
3 years ago
14

Evaluate the given expression. 10c4*4c2

Mathematics
1 answer:
Romashka [77]3 years ago
3 0

Assuming you mean the binomial coefficients

nC_{r} = (n !)/(r!(n - r)!)

10C_{4} = 10!/(4!× 6!) =(10 × 9 × 8 × 7)/(4 × 3 × 2 × 1) = \frac{5040}{24} = 210

4C_{2} = (4!)/(2! × 2!) = \frac{4.3}{2} = 6

product = 210 × 6 = 1260


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Arada [10]
1) An operator is missing in your statement. Most likely the right expression is:

               2x
f(x) = -------------
           3x^2 - 3

So, I will work with it and find the result of each one of the statements given to determine their validiy.

2) Statement 1: <span>The graph approaches 0 as x approaches infinity.


Find the limit of the function as x approaches infinity:

                                    2x
Limit when x →∞ of ------------
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Start by dividing numerator and denominator by x^2 =>

      2x / x^2                         2/x
--------------------------- = ---------------
  3x^2 / x^2 - 3 / x^2       3 - 3/x^2

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Replace x with ∞ =>  ------------ =  ------- =  ---- = 0
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Therefore the statement is TRUE.

3) Statement 2: The graph approaches 0 as x approaches negative infinity.

</span><span><span>Find the limit of the function as x approaches negative infinity:

                                        2x
Limit when x → - ∞ of ------------
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Start by dividing numerator and denominator by x^2 =>

      2x / x^2                         2/x
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                                        2/(-∞)           0            0
Replace x with - ∞ =>  ------------ =  ---------- =  ---- = 0
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Therefore, the statement is TRUE.</span>


4) Statement 3: The graph approaches 2/3 as x approaches infinity.

FALSE, as we already found that the graph approaches 0 when x approaches infinity.

5) Statement 4: The graph approaches –1 as x approaches negative infinity. </span>

FALSE, as we already found the graph approaches 0 when x approaches negative infinity.
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