Let the unknown number be 
.
Then the opposite of this unknown number will be 
.
It is given to us in the question that when this unknown number, is increased by 9, or in other words when 9 is added to this unknown number, , then this becomes 5 times it's opposite, which is .
Thus, from the given condition in the question, the equation we get is as:
We will solve this by isolating as:
Thus the required number is -1.5
Answer:
Step-by-step explanation:
Your equation makes no sense.
I will ASSUME you mean
y = -x² - 2x + 3
which can be factored
y = (x + 3)(-x + 1)
x intercepts occur when y = 0
0 = (x + 3)(-x + 1)
which means either
x + 3 = 0
x = -3
or
-x + 1 = 0
x = 1
x intercepts are (-3, 0) and (1, 0)
The vertex will occur halfway between these point
x = (-3 + 1) / 2 = -1
so vertex = y = -(-1)² - 2(-1) + 3 = 4
(-1, 4)
The point slope formula is y - y1 = m(x - x1)
the value x1 is the x coordinate of a point
the value y1 is the y coordinate of a point
the value m is the slope, which is 3
therefore, x1 = -2 & y1 = 1
Then, all you do is plug in the points:
y - 1 = 3(x + 2)
NOTE: It is 3(x + 2) instead of 3(x - 2) because the formula is (x - x1). If you plug x1 in, it is (x - (-2)). 2 negatives cancel out to be a positive, so it is (x + 2)
Answer:
8 points
Step-by-step explanation:
Given that there are 4 teams and Each team plays each of the other teams exactly once, then each team plays 3 matches. The possible points after 3 matches are:
0: 3 lost
1: 2 lost, 1 tied
2: 2 tied, 1 lost
3: 3 tied
4: 1 won, 1 lost, 1 tied
5: 1 won, 2 tied
6: 2 won, 1 lost
7: 2 won, 1 tied
9: 3 won
