MATH HELP??? Identify the quadratic function(s). (Select all that apply). A.) y(y + 4) - y = 6 B.) (3x + 2) + (6x - 1) = 0 C.) 4b(b) = 0 D.) 3a - 7 = 2(7a - 3)

Question

asked Feb 27, 2019 114k views

1 Answer

Tim Fuqua · Answer 1 · 2019-03-03T11:08:55+0000

The quadratic function are:

option: A A) y(y + 4) - y = 6

Option: C C.) 4b(b) = 0

We know that the general equation of a quadratic equation in terms of a variable x is given by:

ax^2+bx+c=0

A)

y(y + 4) - y = 6

On simplifying the terms we have:

$y^2+4y-y=6\\\\y^2+3y-6=0$

Hence, option: A is correct.

B)

(3x + 2) + (6x - 1) = 0

$(3x + 2) + (6x - 1) = 0\\\\i.e.\\\\3x+2+6x-1=0\\\\i.e.\\\\3x+6x+2-1=0\\\\i.e.\\\\9x+1=0$

Hence, it is a linear equation.

Hence, option: B is incorrect.

C)

4b(b) = 0

it could also be written as:

4b^2=0

Hence, it is a quadratic equation.

Hence, option: C is correct.

D)

3a - 7 = 2(7a - 3)

$3a-7 = 2(7a-3)\\\\i.e.\\\\3a-7=14a-6\\\\\\i.e.\\\\14a-6-3a+7=0\\\\i.e.\\\\14a-3a-6+7=0\\\\i.e.\\\\11a+1=0$

which is again a linear equation.

Hence, option: D is incorrect.