Answer:
(x, y) = (2 2/9, -1 4/9)
Step-by-step explanation:
Equate the values of y and solve for x.
1/4x -2 = -2x +3
(2 1/4)x = 5 . . . . . . . . add 2+2x to both sides
x = 20/9 = 2 2/9 . . . multiply by 4/9
y = -2(2 2/9) +3 = -4 4/9 +3 . . . . substitute for x in the second equation
y = -1 4/9
The solution is x = 2 2/9, y = -1 4/9.
Answer:
The maximum is -3
Step-by-step explanation:
A parabola that opens down (- in front), the vertex represents the highest point on the graph, or the maximum value.
The vertex of the equation is (-7,-3)
So, the maximum y value is -3
Answer:
$34,300
Step-by-step explanation:
First, we need to find how much interest is earned in one month : 7,000 * 6.5% = 455
455 is how much you gain monthly, multiply that by 12 to find the annual interest so 455 * 12 = 5,460
You then multiply that number by 5 to find the interest of the span of the 5 years
5,460 * 5 = 27,300
You add the original number to the interest with 27,300 + 7,000 = 34,300 in the account
We have been given that The boston celtics have won 16 nba championships over approximately 50 years. Therefore, it can be concluded that in any given year the probability of celtics winning the title will be p = 16/50 = 0.32
For Celtics to win eight straight championships in 1959, we will be required to multiply the probability of winning championship in one year to itself 8 times.
Therefore, the required probability is:

Therefore, the required probability is almost 0.00011.
Answer: The symbol is < for both