<h3>Answer:</h3>
±12 (two answers)
<h3>Explanation:</h3>
Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:
(<em>a</em>)(-3<em>a</em>) = -27/4
<em>a</em>² = -27/(4·(-3)) = 9/4
<em>a</em> = ±√(9/4) = ±3/2
Then the other root is
-3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs
We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...
-(a + (-3a)) = b/4
2a = b/4
b = 8a = 8·(±3/2)
b = ±12
_____
<em>Check</em>
For b = 12, the equation factors as ...
4x² +12x -27 = (2x -3)(2x +9) = 0
It has roots -9/2 and +3/2, the ratio of which is -3.
For b = -12, the equation factors as ...
4x² -12x -27 = (2x +3)(2x -9) = 0
It has roots 9/2 and -3/2, the ratio of which is -3.
2.6925 is the mean/ avg you add all the numbers and divide by the amount of numbers you added
Answer:
1) (a/3) - (b/2)
2) (m/3) + (5n/12)
3) (-5m/3) + (4x/3)
4) (4x/9) + (8y/9) - (z/3)
5) (-5a/8) + (-3b/8) + (-3c/2)
Step-by-step explanation:
1) 2a-3b divided by 6
(2a-3b)/6 = (2a/6) - (3b)/6 = (a/3) - (b/2)
2) 4m+5n divided by 12
(4m+5n)/12 = (4m/12) + (5n/12) = (m/3) + (5n/12)
3) 5m-4x divided by -3
(5m-4x)/(-3) = (-5m/3) + (4x/3)
4) 4x+8y-3z divided by 9
(4x+8y-3z)/9 = (4x/9) + (8y/9) - (3z/9) = (4x/9) + (8y/9) - (z/3)
5) 5a+3b+12c divided by -8
(5a+3b+12c)/(-8) = (-5a/8) + (-3b/8) + (-12c/8) = (-5a/8) + (-3b/8) + (-3c/2)
Answer: There is probability of 0.57 chances that exactly three students from a group of four students have not passed Exam P/1 or Exam FM/2.
Step-by-step explanation:
Total number of students = 8
Number of student who has passed Exam P/1 = 1
Number of student who has passed Exam FM/2 = 1
No student has passed more than one exam.
According to question, exactly three students from a randomly chose group of four students have not passed Exam P/1 or Exam FM/2.
So, Probability will be
Hence, there is probability of 0.57 chances that exactly three students from a group of four students have not passed Exam P/1 or Exam FM/2.
Answer:
Sam is 12 years then
Step-by-step explanation:
Sam's age =15-3
=12 years
