Answer:
The algebraic equation would be 3 + x - 4 = 6
Answer:
11/25
Step-by-step explanation:
# means number
probability = # of orange marbles / # of total possible outcomes
7(red) + 3(green) + 4(blue) + 11(orange) = total possible outcomes
total possible outcomes = 25
# of orange marbles = 11
11/25; the probabilty of randomling picking an orange marble is 11/25
Answer: 5x 4 is 20 5x 40 is 200 5x 400 is 2000 and 5 x 4,000 is 20,000 I hope this helps also I can’t really see the rest because there a little blurry
Step-by-step explanation:
<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.