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Airida [17]
3 years ago
14

Find the value of the combination. 21 C 3 7,980 2,660 1,330

Mathematics
1 answer:
erik [133]3 years ago
4 0
To evaluate the combination we proceed as follows:
21C3
Given nCk we shall have:
n!/[(n-k)!k!]
thus plugging the values in the expression we get:
21!/[(21-3)!3!]
=21!/(18!×3!)
=1330
Answer: 1330
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One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.
Natalka [10]

Answer:

-10

-5

5

Step-by-step explanation:

From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250

The Remainder Theorem is going to take a bit to solve.

You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.

The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.

However just to get the roots, the graph shows that

x = -10

x = - 5

x = 5

The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give

f((10) = 10^3 + 10*10^2 - 25*10 - 250

f(10) = 1000 + 1000 - 250 - 250

f(10) = 2000 - 500

f(10) = 1500 which is  not 0.

==================

f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250

f(1) = 1 + 10 - 25 - 250

f(1) = -264 which again is not zero

3 0
3 years ago
Read 2 more answers
Which expression is equivalent to negative 32 5/3?
Sloan [31]
Im confused. Its not equal to any of the choices

Unless C  is the cube root of 32^5.

 [t3] \sqrt[n]{x} [32^5]
6 0
3 years ago
Hey please answer soon i need this done soon! 20points!!!
Zepler [3.9K]

Answer:

<h3>consistent independent</h3>

<h2>Explanation:-</h2><h3>The system of linear equations {3x−y=2y=3x+2 describes <em><u>consistent </u></em><em><u>independent </u></em><em><u>.</u></em></h3>

<h3>Hope it is helpful to you </h3><h3>stay safe healthy and happy ☺️</h3>

4 0
2 years ago
Please help me asap plz
Maru [420]
Scale = 88 feet/5.5 inch = 16ft/inch or 16 feet = 1 inch Width = 76 feet x 1 inch/16 feet = 4.75 inches.
6 0
2 years ago
In parallelogram DEFG if m_DEF=110° find m_FGD.<br> E<br> 110°<br> D<br> G
Sergio039 [100]

Answer:

E=x

or 110= x ( opposite angles of parallelogram are congurent)

E+D = 180 ( angles on st line)

110+D =180

D=70

D=F ( opposite angles of parallelogram are congurent)

so F=70

3 0
3 years ago
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