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nikdorinn [45]
3 years ago
6

How many ways can 3 students be chosen from a class of 20 to represent their class at a banquet?

Mathematics
2 answers:
inysia [295]3 years ago
7 0
60 ways because the easy way to solve this problem is identify the numbers being used and than multiply them by each other.
boyakko [2]3 years ago
3 0
Slot method 20 options 3 slots First slot: 20 options Second slot: 19 options (one used up for 1st slot) Third slot: 18 (one less than last) Multiply them 20 times 19 times 18=6840 Answer is 6840 ways
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a x − y = b a ⁢ x − y = b Which of the following equations are equivalent to the equation above? Select all that apply.
krek1111 [17]
They are all equivalent
8 0
3 years ago
Which of the following rational functions is graphed below?​
vampirchik [111]

Answer:

The correct option is D.

i.e.

f\left(x\right)=\frac{1}{x\left(x+4\right)} is the correct option.

The correct graph is shown in attached figure.

Step-by-step explanation:

Considering the function

f\left(x\right)=\frac{1}{x\left(x+4\right)}

\mathrm{Domain\:of\:}\:\frac{1}{x\left(x+4\right)}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x

\mathrm{Range\:of\:}\frac{1}{x\left(x+4\right)}:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:-\frac{1}{4}\quad \mathrm{or}\quad \:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-\frac{1}{4}]\cup \left(0,\:\infty \:\right)\end{bmatrix}

\mathrm{Axis\:interception\:points\:of}\:\frac{1}{x\left(x+4\right)}:\quad \mathrm{None}

\mathrm{Extreme\:Points\:of}\:\frac{1}{x\left(x+4\right)}:\quad \mathrm{Maximum}\left(-2,\:-\frac{1}{4}\right)

So, the correct graph is shown in attached figure.

Therefore, the correct option is D.

i.e.

f\left(x\right)=\frac{1}{x\left(x+4\right)} is the correct option.

7 0
3 years ago
I travelled at 60km/h and took 2 hours for a certain journey. How long would it have taken me if I had travelled at 50km/h?​
Marina86 [1]

Answer:

2 hours and 24 minutes

Step-by-step explanation:

2 hours at 60 km/h means you have travelled 2*60=120 km

120 km at 50 km/h takes 120/50 = 2.4 hours

2.4 hours is 2 hours and 0.4*60 = 24 minutes.

7 0
3 years ago
The diagonals of a rectangle ABCD meet at O if AO=(2x+3)cm and DO=(5x)cm find the length of its diagonals also find the perimete
vfiekz [6]

Step-by-step explanation:

AO = DO

2x+3 = 5x

3 = 5x-2x

3 = 3x

x = 1

DO = 5(1)=5cm

AC = 2×5 = 10cm

BC =√10²-8²

= √100-64

=√36

=6 cm

therefore, the perimeter of the rectangle

= 2×(8+6) = 2(14) = 28 cm

3 0
2 years ago
Whats The sum of twice a number x and thrice a number y minus the square of z as an expression
SpyIntel [72]

Answer:

2x+3y-z²

Step-by-step explanation:

twice a number =2x

thrice a number =3x

minus z²

HOPE THIS HELPS!!!

8 0
2 years ago
Read 2 more answers
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