Which of the following are factors of the equation when written in factored form

B and D

Step-by-step explanation:

Given

2a² + 8a - 15 = 3a - 3 ( subtract 3a - 3 from both sides )

2a² + 5a - 12 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the product of the a² term and the constant term which sum to give the coefficient of the a term, that is

product = 2 × - 12 = - 24 and sum = + 5

The factors are + 8 and - 3

Use these factors to split the a- term

2a² + 8a - 3a - 12 = 0 ( factor the first/second and the third/fourth terms )

2a(a + 4) - 3(a + 4) = 0 ← factor out (a + 4) from each term

(a + 4)(2a - 3) = 0 ← in factored form

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

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!