Answer:
4
Step-by-step explanation:
There are 4 board members and 3 committee members. You can solve this using combinations:
4C3 = 4!/(3!(4-3)!) = 4!/(3!1!) = 4
You can also solve this by recognizing that since there is one fewer committee spot than there are board members, there will be one possible committee excluding each of the 4 board members.
<span>Problem 1: 2x > 4x - 6
2x < 6
x < 3
problem 2: -3r < 10 - r
-2r < 10
r > -5
problem 3: 5c - 4 > 8c + 2
3c < -6
c < -2</span>
The shortest distance they have to travel to return to their starting point is 9.4 miles.
Explanation
The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.
The distance traveled north and west respectively makes the height and base of a right angled triangle.
to find the shortest distance to the starting point, the hypotenuse has to be determined.
height h=8 miles
base b=5 miles
using pythagoras theorem
The shortest distance to the starting point is 9.4 miles
Blank 1: If y is -5 when x is 2, that means the equation here is y = -2.5x. So, if x is 8, that makes the equation y = -2.5(8), which gives you -20.
Blank 2: If y is 3 when x is 1, the equation will be y = 3x. If x is 2, that will give you y = 3(2), which is 6.
Blank 3: If y is -7 when x is -21, the equation will be x = 3y. If y is 9, that will give you x = 3(9), which is 27.
Blank 4: If y is 5 when x is 4, the equation will be y = 1.25x. If y is 18, that makes the equation 18 = 1.25x, which is 14.4.
I hope this all helped!
Plugging in (2,-7) into
y=-5x+b, we get that b=3.
Therefore, the equation is y=-5x+3
