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3 years ago

Which is a simplified form of the expression 2(5x + 1) – 3x?

Mathematics

1 answer:

Oksana_A [137]3 years ago

6 0

Answer:

7x + 2 is your answer.

Step-by-step explanation:

2(5x + 1) – 3x

10x + 2 - 3x

7x + 2

7x + 2 is your answer.

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A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes (a) contain exactly two he

Tems11 [23]

Answer:

a. 45

b. 176

c. 252

Step-by-step explanation:

First take into account the concept of combination and permutation:

In the permutation the order is important and it is signed as follows:

P (n, r) = n! / (n - r)!

In the combination the order is NOT important and is signed as follows:

C (n, r) = n! / r! (n - r)!

Now, to start with part a, which corresponds to a combination because the order here is not important. Thus

n = 10

r = 2

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

There are 45 possible scenarios.

Part b, would also be a combination, defined as follows

n = 10

r <= 3

Therefore, several cases must be made:

C (10, 0) = 10! / 0! * (10-0)! = 10! / (0! * 10!) = 1

C (10, 1) = 10! / 1! * (10-1)! = 10! / (1! * 9!) = 10

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

C (10, 3) = 10! / 3! * (10-3)! = 10! / (2! * 7!) = 120

The sum of all these scenarios would give us the number of possible total scenarios:

1 + 10 + 45 + 120 = 176 possible total scenarios.

part c, also corresponds to a combination, and to be equal it must be divided by two since the coin is thrown 10 times, it would be 10/2 = 5, that is our r = 5

Knowing this, the combination formula is applied:

C (10, 5) = 10! / 5! * (10-5)! = 10! / (2! * 5!) = 252

252 possible scenarios to be the same amount of heads and tails.

6 0

3 years ago

If the volume of the pyramid shown is 12 centimeters cubed, what is its height? A rectangular pyramid with a base of 3 centimete

MissTica

Answer:

C) 6cm

Step-by-step explanation:

Took test on e2020

8 0

3 years ago

Read 2 more answers

Drupady [299]

Answer:

12 centimeters

Step-by-step explanation:

96=6L+2W

6+2=8

96/8=12

6 0

3 years ago

Determine what Descartes’ Rule of Signs says about the number of positive real roots and negative real roots for the polynomial

Allushta [10]

Answer:

Descarte's rule says that the polynomial will have the number of zeroes equal to the number of times the sign off the coefficient changes.

For positive real roots:

$P(x)=9x^3-4x^2+10$

The coefficient of polynomial is:

+9 -4 +10

There is 2 time sign in changing in 1st and 2nd term and then in 2nd and 3rd term.

So,there will be 2 positive real roots or less but even.

For negative real roots find P(-x)

$P(-x)=-(9x^3-4x^2+10)$

$P(-x)=-9x^3+4x^2-10$

So, coefficient of above polynomial is:

-9 +4 -10

There is 2 time sign in changing in 1st and 2nd term and then in 2nd and 3rd term.

So,there will be 2 negative real roots or less but even.

7 0

3 years ago

What is an equation of the line that contains the point (3,1) and (6,0)?

Gnom [1K]

The answer is C
0=(1/3)(6/1)-2
0=0
So yes C is the answer

8 0

2 years ago