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stira [4]
3 years ago
15

(3n-2)(4n+1) how do i solve this by factoring?

Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer:

12n^2-5n-2

The expression (3n-2)(4n+1) can be factored with the Distributive Property. It cannot be factored with a Least Common Multiple (LCM), for instance, because the terms within each set of parentheses are completely simplified.

Step-by-step explanation:

Part I

.1. (3n-2)(4n+1)\\2. F.O.I.L.: 12n^2+3n-8n-2\\3. Simplify: 12n^2-5n-2\\

Good luck to you!

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Karl’s math class is playing a number game. Each student is given a number card containing the numbers 1 to 6. The rules of the
Lena [83]

By finding the probability, we can expect that 2 out of the 30 students will win the prize.

<h3>How many of the 30 students will win the prize?</h3>

First, we should get the probability of winning this game.

Here the students select two numbers out of 6, just to make the calculations let's say that these numbers are 1 and 2.

Now, we need to get these two numbers in two balls. The probability of getting the ball with the number 1 out of the 6 balls is:

p = 1/6

The probability of getting the ball with the number 2 out of the remaining 5 balls (because we already got one) is:

q = 1/5

The joint probability is then:

P = 2*(1/6)*(1/5) = 1/15.

Where the factor 2 comes to take in account the permutations, for the case where we first draw the number 2 and then the number 1.

Then the expected number of students that will win is equal to the probability times the total number of students:

(1/15)*30 = 2

So out of the 30 students, we can expect that 2 will win.

If you want to learn more about probability:

brainly.com/question/25870256

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8 0
2 years ago
Ile to 2 +2 nie piszcze nic tylko sprawdzam
Bumek [7]

Answer:

Could you rewrite this question in english so we can understand what is being asked? Thank you!

Step-by-step explanation:

6 0
3 years ago
How do you write a quadratic equation in standard form?
Lemur [1.5K]

Answer:

  • Powers of the variable descending left to right
  • right side of the equal sign is 0

Step-by-step explanation:

For some constants a, b, and c, the standard form* is ...

  ax^2 + bx + c = 0

___

It is nice if the leading coefficient (a) is positive, but that is not required.

The main ideas are that ...

  • Powers of the variable are descending
  • All of the non-zero terms are on the left side of the equal sign
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_____

* This is the <em>standard form</em> for a quadratic. For other kinds of equations, when the expression is equal to zero, this would be called "general form."

3 0
3 years ago
A yardstick casts a shadow of 24 in. at the same time a telephone pole casts a shadow of 20 ft 8 in. What is the height of the t
BabaBlast [244]
1 yd = 36 in;  20 ft 8 in = 248 in;
We will use a proportion:
36  : 24 = x : 248
24 x = 36 * 248
24 x = 8,928
x = 8,928 : 24 = 372
Answer:  C ) 372 in
5 0
3 years ago
Find the 12th term of the sequence -15,-9,-3, 3
Reika [66]
First term (a) = -15
common difference(d)= -9-(-15)
= -9+15=6
So,
12th term(a12)= a +(n-1)d
= -15+(12-1)×6
= -15 + 11×6
= -15+66
= 51
4 0
3 years ago
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