Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>Factorize it in steps:</u>
- 3x² + 5x + 2 = 0
- 3x² + 3x + 2x + 2 = 0
- 3x(x + 1) + 2(x + 1) = 0
- (x + 1)(3x + 2) = 0
<u>The roots are:</u>
- x + 1 = 0 ⇒ x = - 1
- 3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - 2/3
(4*a)*2
lets give a a number: a = 3 so (4*3)*2 = 12*2 = 24
lets try the options:
A) 4 *(3*2) = 4*6 = 24 = the same
B) 4*2*3*2 = 8*3*2 = 24*2 = 48 = different
C) 8*3 = 24 = same
D) 4*2+3*2 = 8 +6 = 14 = different
E) 2*(4*3) = 2*12 = 24 = same
so A, C & E would be the equivalent.
Start by writing the ratio of:
0.125/1 (since a number divided by 1 is itself)
Then multiply the numerator and denominator by 10, 100, or 1000, etc. until the numerator becomes an integer: (in this case multiplying by 1000 does the trick)
(0.125*1000)/(1*1000)
125/1000
Now simplify by dividing by common factors. For this problem, 5 is a common factor of both the numerator and denominator:
(125/5)/(1000/5)
25/200
Do this again with another common factor if possible. For this problem, 25 is another common factor:
(25/25)/(200/25)
1/8
Now there are no more common factors between the numerator and denominator. When this is the case, the fraction can be considered to have been simplified:
Answer is: 1/8
