Factor the expression.
6x² – 7x - 3

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

Step-by-step explanation:

Given

6x² - 7x - 3

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 3 = - 18 and sum = - 7

The factors are + 2 and - 9

Use these factors to split the x- term

6x² + 2x - 9x - 3 ( factor the first/second and third/fourth terms )

= 2x(3x + 1) - 3(3x + 1) ← factor out (3x + 1) from each term

= (3x + 1)(2x - 3) ← in factored form

(2x−3)(3x+1)

You factor by finding the greastest common factor (gcf)

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500