What is the discontinuity and zero of the function
1 answer:
The discontinuity are the point wherein the function is not defined.
The zeros are the points wherein f(x)=0.
Computing the discontinuity points:
Set
then the discontinuity point is at 
.
Comptine the zeroes:
Set
Compute the discriminant:
Then with quadratic formula we get the solutions:
The two zeros are
The zeros are the points wherein f(x)=0.
Computing the discontinuity points:
Set
Comptine the zeroes:
Set
Compute the discriminant:
Then with quadratic formula we get the solutions:
The two zeros are
You might be interested in
Answer:
Step-by-step explanation:
This quadratic models the parabolic motion equation
where h is the height of the object after the motion occurs, a is the pull of gravity, v(i) is the initial vertical velocity of the object, and h(i) is the height from which the object was initially launched. If we are looking for when the ball hits the ground, h = 0, because the height of an object on the ground has no height at all (or 0 height). To find the time the object was in the air, factor the quadratic and solve for the values of t.
Two factors of 4 that add up to be 3 and multiply to be 4 are -1 and 4. So t=-1 and t = 4. Since we know that time can never be negative, then t = 4 seconds.
Answer:
2412 mm³
Step-by-step explanation:
In the figure attached, the composite figure is shown.
Dimension of top rectangular prism:
- length of 13 millimeters
- width of 12 millimeters
- height of 12 millimeters
Volume of top rectangular prism: length*width*height = 13*12*12 = 1872 mm³
Dimension of bottom rectangular prism:
- length of 15 millimeters
- width of 12 millimeters
- height of 3 millimeters
Volume of bottom rectangular prism: length*width*height = 15*12*3 = 540 mm³
Volume of the composite figure: 1872 + 540 = 2412 mm³
