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Mathematics

1 answer:

Delvig [45]4 years ago

6 0

Answer:

2
2x + 1

Step-by-step explanation:

It usually works best for factoring to remove any common factors from the coefficients. Here, they are all even numbers, so have a common factor of 2. After taking that out, you have ...

2(4x² -4x -3)

To factor this, you are looking for factors of (4)(-3) that have a sum of -4.

-12 = 1(-12) = 2(-6) = 3(-4)

These pairs have sums of -11, -4, -1. So, we are interested in the factors 2 and -6. We can use those to rewrite the middle term, then factor by pairing.

= 2(4x² +2x -6x -3) = 2((2x(2x+1) -3(2x+1)) = 2(2x -3)(2x +1)

Of these, the factors that are on your list of choices are ...

2
2x + 1

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Jenny owns a salon. She had 150 customers at the end of the third quarter, 151 customers at the beginning of the third quarter,

Morgarella [4.7K]

There is a 96% customer retention rate for the third quarter.

Given

Jenny owns a salon.

She had 150 customers at the end of the third quarter, 151 customers at the beginning of the third quarter, and five new customers in the third quarter.

<h3>Customer retention rate;</h3>

It determines the percentage of customers that the company has retained over a given period.

The customer retention rate is determined by;

$\rm Customer\ retention\ rate=\dfrac{Given \ period - New \ customers}{Initial \ number}\times 100$

Substitute all the values in the formula;

$\rm Customer\ retention\ rate=\dfrac{Given \ period - New \ customers}{Initial \ number}\times 100\\\\\rm Customer\ retention\ rate=\dfrac{150-5}{151}\times 100\\\\\rm Customer\ retention\ rate=\dfrac{145}{151}\times 100\\\\\rm Customer\ retention\ rate=0.96 times 100\\\\\rm Customer\ retention\ rate=96 \ percent$