Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding a
1 answer:
Answer:
The number of combinations will she have to analyze is 10.
Step-by-step explanation:
We know that Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes. We calculate the number of combinations will she have to analyze.
The number of combinations will she have to analyze is 10.
You might be interested in
Answer:
Step-by-step explanation:
We can apply Pythagoras' Theorem.
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:
