Answer:
Option 2: (1,0) is the correct answer
Step-by-step explanation:
Given inequality is:
y>-5x+3
In order to find which point is solution to the given inequality we'll put the point one by one in the inequality. If the point satisfies the inequality, then the point is the solution of the inequality.
Putting (0,3) in inequality
Putting (1,0) in inequality
Putting (-3,1) in inequality
Putting (-1,-2) in inequality
The inequality is true for (1,0)
Hence,
Option 2: (1,0) is the correct answer
Answer:
y = (1/3)x - 1
Step-by-step explanation:
The product of the slopes of perpendicular lines is -1. That makes the slopes of perpendicular lines negative reciprocals. Since line p has slope -3, the slope of line t is 1/3. Also, line t passes through point (9, 2).
y = mx + b
m = slope
y = (1/3)x + b
Now we replace x and y with the x- and y-coordinates of the given point, respectively, and we solve for b.
2 = (1/3)(9) + b
2 = 3 + b
b = -1
Now we replace b with -1.
y = (1/3)x - 1
Rolling a number less than 4 means that rolling a 1, 2, or 3 will satisfy the requirement. Since 3 of 6 possible outcomes will satisfy the requirement then the likelihood that it will be rolled is 3/6 times. 3/6 reduces to 1/2 or 50% chance.
Answer:
8 percent
Step-by-step explanation:
9.75/9 is 1.08, which means 8 percent
