Answer:
There are 220 choices
Step-by-step explanation:
Given

(President, Treasurer and Secretary)
Required
Determine number of selection (if no restriction)
This is calculated using the following combination formula:

Where


So, we have:









<em>There are 220 choices</em>
Answer:
It's choice B.
Step-by-step explanation:
When r= -11,
x^2 + 8x - 33 = (-11)^2 - 88 - 33
= 121 - 88 - 33
= 0
- so x = -11 gives a zero value and is a solution to the equation.
Answer:
3
Step-by-step explanation:
In a slope intercept linear equation, the slope is always the number in front of the x value in an equation like y = mx + b.
So the slope is the 3 in front of the x value.
Answer: <span>y - 37.5 = 2.5 ( x - 7)
Explanation:
1) The point-slope form is has this form:
y - y1 = m (x - x1)
Where m is the slope or rate of change and x1, y1 are the coordinates of the point.
2) you are told that the the rate of change of water (m) is 2.5
m = 2.5
3) The point is given by that after 7 min the rain barrel contains 37.5 gallons. This is:
x1 = 7
y1 = 37.5
</span>4) Replace those value in the point-slope model:
y - 37.5 = 2.5 ( x - 7)
That is the point-slope model or equation.
The answer to this problem is 48.