Answer: (-2, 5) and (2, -3)
<u>Step-by-step explanation:</u>
Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:
y - intercept = (0, 1) 2nd point = ( -1, 1).
Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

vertex = (1, -4) 2nd point (y-intercept) = (0, -3)
<em>see attached</em> - the graphs intersect at two points: (-2, 5) and (2, -3)
Answer:
678
2
679
Step-by-step explanation:
Number of people: 5426
Capacity of table: 8
How many tables are full?
- Number of full tables= 5426/8= 678.25 so full part is 678
How many people are sitting at a table that is not full?
- 0.25 table= 8*0.25= 2 people are sitting at a table that is not full
or
How many tables are needed for all 5,426 people?
Answer:
Total displacement = 0 blocks
Step-by-step explanation:
Displacement : It is defined as the total distance between the initial and the final positions of the moving object or a body. The total displacement can be 0 in case the initial and the final positions of the body are same.
The distance traveled by Johnny from his house to his friends house = 4 blocks
Then he immediately returns to his house, so the total distance then covered = 4 blocks
Total distance traveled = 4 + 4
= 8 blocks
But the initial position of Johnny is his house and the final position of Johnny is also his house
Therefore, the initial and the final position of Johnny is same and this can be used as a reference point for the given problem.
⇒ Total displacement = 0 blocks
N/d = 2/3 -------------------> 3n = 2d
(n + 2)/(d + 2) = 3/4 ------> 4n + 8 = 3d + 6
Answer:
d
Step-by-step explanation:
x<9+7, and x+7>9
solve
x<16
x>2
2<x<16