Number of solutions: no roots
Type of solution: Not Real
Step-by-step explanation:
We need to identify the number of solutions and their types using the discriminant.
We are given: 
Rearranging:

Discriminant can be found by: 
where b=-40, a=10 and c=41
Putting values:

So, Discriminant is -40
If the discriminant is less than zero i.e -40 then there are no real roots.
So, Number of solutions: no roots
Type of solution: Not Real
Keywords: discriminant
Learn more about discriminant at:
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The number at the end of the equation shifts the graph up or down.
Changing the 1/2 to a -2 would shift the graph down which would change the y-intercept.
The answer is D.
Answer:
x - 
Step-by-step explanation:
A polynomial has the form
first term is the term of highest degree followed by term of second etc.
note that x =
← degree 1
x -
fits this description and is a polynomial of degree 1
Answer:
<em>500πx³y³z³ </em>
Step-by-step explanation:
Volume of a sphere = 4πr³
r is the radius of the sphere
Given
Diameter of the sphere = 10xyz mm
Radius = diameter/2
Radius = 10xyz/2
Radius = 5xyz
Substitute the radius into the formula
Volume of the sphere = 4π(5xyz)³
Volume of the sphere = = 4π(125)x³y³z³
Volume of the sphere = 500πx³y³z³
<em>Hence the volume of the sphere is 500πx³y³z³ mm³</em>