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Kruka [31]
3 years ago
9

Factorize by splitting the middle term 6x-11x+4​

Mathematics
1 answer:
Gennadij [26K]3 years ago
5 0

Answer: (2x - 1)(3x - 4)

(split -11x as -8x and -3x)

Step-by-step explanation:

I am assuming that it is actually 6x^2 - 11x + 4

To find out how to split the middle term: The two numbers should multiply to a*c (6*4 = 24) and add to b (-11)

-8, -3 works

(6x^2 - 8x) + (-3x + 4)

2x(3x - 4) + -1(3x - 4)

(2x - 1)(3x - 4)

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The ratio of band students to choir students is 4:6. There are a total of 60 students in the band and choir. How many students a
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Answer:

24

Step-by-step explanation:

Given that:

The ratio of band students to choir students is 4 : 6.

Total number of students in the band and choir combined = 60

To find:

The number of students in the band = ?

Solution:

First of all, let us understand the meaning of the ratio given.

Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.

Also, number of band students will be in the multiples of 4 only and

number of choir students will be in the multiples of 6 only

Let the total number of band students = 4x

Let the total number of choir students = 6x

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As per question statement, we can write the following equation:

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