Answer:
15 Percent
Step-by-step explanation:
We assume all employees are either full-time or part-time.
36 = 24 + 12
If the number of full-time employees is 24 or less, the number of part-time employees must be 12 or more. (Thinking, based on knowledge of sums.)
_____
You can write the inequality in two stages.
- First, write and solve an equation for the number of full-time employees in terms of the number of part-time employees.
- Then apply the given constraint on full-time employees. This gives an inequality you can solve for the number of part-time employees.
Let f and p represent the numbers of full-time and part-time employees, respectively.
... f + p = 36 . . . . . . given
... f = 36 - p . . . . . . . subtract p. This is our expression for f in terms of p.
... f ≤ 24 . . . . . . . . . given
... (36 -p) ≤ 24 . . . . substitute for f. Here's your inequality in p.
... 36 - 24 ≤ p . . . . add p-24
... p ≥ 12 . . . . . . . . the solution to the inequality
Answer:
Speed of the plane from Washington: 
Speed of the plane from LA: 
Step-by-step explanation:
We need to remember that:
Where "d" is distance, "V" is speed and "t" is time.
Let be "w" the speed in mph of the plane from Washington and "l" the speed in mph of the plane from LA.
We know that the distance between the cities is 2700 miles and after they flied for 2 hours, the distance between them was 500 miles. Then we can write the following equation:
[Equation 1]
Since the speed of the plan from LA was 100 mph faster, we can write this equation:
[Equation 2]
The steps to solve this are:
1. Substitute the Equation 2 into the Equation 1 and solve for "w":
2. Substitute the value of "w" into the Equation 2 in order to find "l":
The x value of the vertex in
ax^2+bx+c is -b/2a
y value is just sub for x
3x^2-6x+5
x value of vertex is -(-6)/(2*3)=6/6=1
sub back
y=3(1)^2-6(1)+5
y=3(1)-6+5
y=3-1
y=2
vertex is (1,2)
