Answer:
A
Step-by-step explanation:
Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.
<u>Discriminant</u>

Evaluate the discriminant of each of the given equations.



As -24 < 0 the equation will have complex roots.




As 41 > 0 the equation does not have complex roots.




As 48 > 0 the equation does not have complex roots.




As 33 > 0 the equation does not have complex roots.
Learn more about discriminants here:
brainly.com/question/27444516
brainly.com/question/27869538
Learn more about complex roots here:
brainly.com/question/26344541
Answer:
PA) 8
PB) 45
Step-by-step explanation:
PA) Find the prime factors of each term in order to find the greatest common factor (GCF).
8
PB)
Step 1:
(8 x 5) + (16 x -1)
Step 2: Multiply
40 + 15
Step 3: Add
45
Answer:
12.496
Step-by-step explanation:

The equation is derived from the conservation of energy, specifically from potential energy stored at a given height in a gravitational field.
When potential energy is completely converted to kinetic energy you have:
(mv^2)/2=mgh divide both sides by the mass m
v^2/2=gh multiply both sides by 2
v^2=2gh take the square root of both sides
v=√(2gh) and working with imperial units for acceleration due to gravity, g=-32ft/s^2
v=√(-64h) but the change of h as it falls is negative h so
v=-√(64h) so if an object falls from a height of 88ft we have:
v=-√(64*84)
v=-√5376
v≈-73.32 ft/sec (to the nearest hundredth of a foot per second)
Note that this is the velocity, it is negative 73.32 ft/sec.
The question inadvertently asked for velocity and provided answers for SPEED. Velocity is a vector and has both magnitude and direction, whereas speed just has magnitude.
So its final speed is 73.32 ft/sec
So if they actually wanted velocity none of their answers is correct :P
The Answer is C) 6 I believe