A town orchestra needs 3 new flute players and 4 new trumpet players. 8 flutists and 11 trumpeters try out, then the orchestra should select 3 flutists from 8 and 4 trumpeters form 11.
They can choose 3 flutists from 8 in
ways.
They can choose 4 flutists from 11 in
ways.
Use the product rule: 56·330=18480 ways for conductor to choose his new members.
Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
the rate of change of a linear function is the same slope
the slope of a linear function is the coefficient that accompanies the variable in this case the variable is x and the slope is -2
so, the rate of change for y is -2
