Answer:
x = (i sqrt(7))/4 - 3/4 or x = -(i sqrt(7))/4 - 3/4
Step-by-step explanation:
Solve for x:
x - 1 - 2/x = 3 x + 2
Bring x - 1 - 2/x together using the common denominator x:
(x^2 - x - 2)/x = 3 x + 2
Multiply both sides by x:
x^2 - x - 2 = x (3 x + 2)
Expand out terms of the right hand side:
x^2 - x - 2 = 3 x^2 + 2 x
Subtract 3 x^2 + 2 x from both sides:
-2 x^2 - 3 x - 2 = 0
Divide both sides by -2:
x^2 + (3 x)/2 + 1 = 0
Subtract 1 from both sides:
x^2 + (3 x)/2 = -1
Add 9/16 to both sides:
x^2 + (3 x)/2 + 9/16 = -7/16
Write the left hand side as a square:
(x + 3/4)^2 = -7/16
Take the square root of both sides:
x + 3/4 = (i sqrt(7))/4 or x + 3/4 = -(i sqrt(7))/4
Subtract 3/4 from both sides:
x = (i sqrt(7))/4 - 3/4 or x + 3/4 = -(i sqrt(7))/4
Subtract 3/4 from both sides:
Answer: x = (i sqrt(7))/4 - 3/4 or x = -(i sqrt(7))/4 - 3/4
There are 3 green gumballs out of 6 in total. So, the odds of Jeff pulling out a green gum ball is 3/6, or 1/2.
There are 2 blue balloons out of 5 in total. So, the odds of Jeff pulling out a blue balloon is 2/5.
Therefore, the combined odds of Jeff pulling out a green gum and a blue balloon is 1/2 multiplied by 2/5, which is 2/10, or 1/5, Making the answer C.
TL;DR: The answer’s C.
Answer:
20 and 16
Step-by-step explanation:
Let us find x and y.
x – y = 4 _____(1)
x/2 + y/2= 18___(2)
Multiply (2) by 2 and add to (1)
x - y = 4
+<u>(x + y = 36)</u>
<u>2x = 40</u>
=> x = 40 / 2 = 20
From (1):
20 - y = 4
=> y = 20 - 4 = 16
The two numbers are 20 and 16.
The answer is C, 2/3. 1, 3, 5, 6, 7, 9, 11, and 12 are possible draws. 8/12 is equal to 2/3!
