Answer:
Here is the summary:
- y = 13x+5 satisfies the points (0, 5) and (-2, -21)
- y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)
- y = x-10 satisfies the points (8, -2)
Step-by-step explanation:
Given the equation
The points which satisfy the equation y=13x+5
y = 13x+5
Checking the point (0, 5)
5 = 13(0)+5
5 = 0 + 5
5 = 5
TRUE
Checking the point (-2, -21)
-21 = 13(-2)+5
-21 = -26 + 5
-21 = -21
TRUE
The points which satisfy the equation y=-3x
y = -3x
Checking the point (0, 0)
0 = -3(0)
0 = 0
TRUE
Checking the point (-5, -15)
y = -3x
-15 = -3(-5)
-15 = -15
TRUE
Checking the point (-3, 9)
y = -3x
9 = -3(-3)
9 = 9
TRUE
The points which satisfy the equation y=x-10
y = x-10
Checking (8, -2)
-2 = 8 - 10
-2 = -2
TRUE
Therefore, from the above calculations we conclude the summary:
Here is the summary:
- y = 13x+5 satisfies the points (0, 5) and (-2, -21)
- y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)
- y = x-10 satisfies the points (8, -2)
Answer:
60%
Step-by-step explanation:
percentage of men in the choir = (4/11) x 100 = 36.4%
percentage of women in the choir = (7/11) x 100 = 63.6%
Percentage of men in the choir that prefer classical songs = 36.4 x0.25 = 9.1%
Percentage of women in the choir that prefer classical songs = 0.8 x 63.6% = 50.9%
percentage of the choir prefer classical songs = 50.9% + 9.1% = 60%
Answer:
Option (2)
Step-by-step explanation:
x = 1 is represented by a solid point on a number line.
x > 1 is represented by an arrow starting from x = 1 towards infinity
If we mix both the properties, x ≥ will be represented by an arrow starting from a solid point at x = 1 and moving towards the values greater than one.
From the options given,
Arrow mentioned in Option (2) will be the correct representation of the inequality.
