Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
Answer:
<h2>4x⁴yz - 16y³z = 4yz(x² - 2y)(x² + 2y)</h2>
Step-by-step explanation:
625,087,435
600,000,000 + 20,000,000 + 5,000,000 + 80,000 + 7,000 + 400 + 30 + 5
We can solve this system using elimination:
(x+y=24)3
3x+5y=100
3x+3y=72
-(3x+5y=100)
0x-2y=-28
y=14
We can then plug this back into one of the original equations:
x+14=24
x=10
We can check our answer by plugging this into both of the original equations:
10+14=24
24=24
3(10) + 5(14)=100
30+70=100
100=100
Therefore, there are 10 3-point questions and 14 5-point questions.
Answer:
Opps I acidentally put it in the comments
The answer is D
Step-by-step explanation:
