The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=-
Answer:
2x(5x+1)(2x+3)=0
Step-by-step explanation:
x{20x^2+34x+6}=0
2x(10x^2+17+3)=0
2x(10x^2+15x+2x+3)=0
2x{5x(2x+3)+1(2x+3)}=0
2x(5x+1)(2x+3)=0
Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.
Fundamental counting theorem:
States that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence
.
- For the 3 numbers, there are 10 outcomes, hence
Then:
17,576,000 different license plates can be manufactured.
To learn more about the fundamental counting theorem, you can take a look at brainly.com/question/24314866
Answer:
d + m = 100
12d + 10m = 1120
Step-by-step explanation:
d = 60
m = 40
Green t-shirt=profit of $1
White t-shirt=profit of $3
Black t-shirt=profit of $1.
To find the answer, selling price minus total money spent (shirt, printing)
If the number is negative, it’s loss, and if it’s positive, it’s profit
