There are 100 men and 100 seats, and each person has a pre-assigned seat. However, the first person is randomly assigned (either
1 answer:
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Answer:
The line of symmetry is x = -3
Explanation:
Given a quadratic function, we know that the graph is a parabola. The general form of a parabola is:
The line of symmetry coincides with the x-axis of the vertex. To find the x-coordinate of the vertex, we can use the formula:
In this problem, we have:
Then:
a = -1
b = -6
We write now:
For this part, we need to find the x-intercepts. This is, when y = 0:
To solve this, we can use the quadratic formula:
And solve:
Since there is no solution to the square root of a negative number, the function does not have any x-intercept. The correct option is ZERO x-intercepts.
Part 4:
To find the y intercept, we need to find the value of y when x = 0:
The y-intercept is at (0, -13)
Part 5:
Now we need to find two points in the parabola. Let-s evaluate the function when x = 1 and x = -1:
The two points are:
(1, -20)
(-1, -8)
Part 6:
Now, we can use 3 points to find the graph of the parabola.
We can locate (1, -20) and (-1, -8)
The third could be the vertex. We need to find the y-coordinate of the vertex. We know that the x-coordinate of the vertex is x = -3
Then, y-coordinate of the vertex is:
The third point we can use is (-3, -4)
Now we can locate them in the cartesian plane:
And that's enough to get the full graph:
Answer:
Step-by-step explanation:
Given that an engine cylinder 13.7 cm deep is being bored such that the radius increases by 0.13 mm divided by min.
We convert everything in mm for uniformity
We have formula for volume as
Given that
h is constant
= 6954.67 mm/sec^3