Simplify the following PLEEEASE?

Question

1- Simplify : 12x + 3y - 2(3x - y)
A- 6x + 4y
B- 18x + 2y
C- 6x + y
D- 6x + 5y
2- Reduce to lowest terms : 7ab^3c^2 / 28ab^2c^4
A- b / 4c^2
B- 4b / c^2
C- bc^2 / 4
D- ab / 4c^2
One last Question Pleeeease
3- Solve : 7 times a number, added to the square of the number, equals -12. What is the number?
A- 3 or 4
B- -4
C- -3 or -4
D- -3
THANK YOU SO MUCH... 10 POINTS FOR BEST ANSWER

Answer 1

12x + 3y - 2(3x - y) = 12x +3y - 6x +2y = (12x-6x) + ( 3y + 2y) = Part D is correct 6x+ 5y

7ab^3c^2 / 28ab^2c^4
(7/28 ) * (a/a) * ( b^3 / b^2 ) *( c^2 /c^4) = 1/4 * 1 * b * 1/ c^2 =
b/4c^2. Part A is correct.

we imagine x instead of that number. so we have:
7x + x^2 = -12
x^2 + 7x +12=0
we need 2 numbers like a and b that when we add them together the result would be + 7 and when we multiply them the result would be + 12
( x+ a)( x+ b)
(x+ 4) ( x+ 3)=0
(x+ 4) =0 , x= -4
OR
( x+ 3)=0 , x= -3

and Part C is correct

Answer 2

Gosh, I wish I had the internet and a bunch of stooges to do my homework when I was in school.

$ mathomatic
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1-> 12x + 3y - 2*(3x - y)

#1: (12*x) + (3*y) - (2*((3*x) - y))

1-> simplify

#1: (6*x) + (5*y)

1-> 7*b^3c^2 / 28ab^2c^4

       (b^3)*(c^2)*(ab^2)*(c^4)
#2: ------------------------
     4

2-> simplify

       (b^3)*(c^6)*(ab^2)
#2: ------------------
     4

3-> x^2 + 7x = -12

#3: (x^2) + (7*x) = -12

3-> x
Equation was quadratic.

           (sign3 - 7)
#3: x = -----------
             2

3-> calculate
Solution #1 with sign3 = 1:
x = -3
Solution #2 with sign3 = -1:
x = -4

Answer 3

a million) 3x + 4y = 12 (sparkling up by using utilising substitution)) y = -2x + 10 3x + 4y = 12 3x + 4(-2x + 10) = 12 3x - 8x + 40 = 12 -5x = 12 - 40 -5x = -28 x = -28/-5 x = 28/5 (5.6) y = -2x + 10 y = -2(28/5) + 10 y = -fifty six/5 + 50/5 y = -6/5 (-a million.2) ? x = 28/5 (5.6) , y = -6/5 (-a million.2) = = = = = = = = 2) 4x + 9y = 24 y = -a million/3(x) + 2 y = -a million/3(x) + 2 y = -x/3 + 2 4x + 9y = 24 4x + 9(-x/3 + 2) = 24 4x - 3x + 18 = 24 x = 24 - 18 x = 6 y = -a million/3(x) + 2 y = -6/3 + 2 y = -2 + 2 y = 0 ? x = 6 , y = 0

Answer 4

1) 12x + 3y - 2(3x - y)
Distribute
12x + 3y -6x + 2y
Simplify 6x + 5y
D
2) 7ab^3*c^2 / 28ab^2*c^4
writing it out helps a lot
7*a*b*b*b*c*c / 7*4*a*b*b*c*c*c*c
cross out like terms.
b/4*c*c
b/4c^2
A
3) 7x + x^2 = -12
Quadratic equation
x^2 + 7x +12 = 0
Use quadratic formula or factor it out:
Factoring gives:
(x+4)(x+3)
(x+4) = 0
x = -4
(x+3) = 0
x = -3
C

Answer 5

D
B
C

A is incorrect for number 3 becasue if you factor is out yes it is
(x+3)(x+4) but when solved for x, they equal -3 and -4.

Answer 6

1. D
2. A
3. B

Answer 7

DAC Trust me

Answer 8

1) D
2) B
3) A

simple .. good luck .. there all right i promise

Answer 9

DAC

Answer 10

D,A, C?