Answer:
Step-by-step explanation:
Given
Required
Write a formula
The above sequence shows a geometric sequence because:
-- common ratio
The equation is determined using:
Where
Substitute values for a and r
Apply law of indices:
<em>The above represents the explicit formula</em>
Answer:
Show the image of the reading
The first one is x^2+2x+2
the second one is x^2+4
the last one is x^2-4x+8
Answer:
180x - x²
Step-by-step explanation:
Since the yard has 360 yd. of fencing, hence the perimeter of Rick's lumberyard has 360 yd.
Given that the yard is x yards long. Let y represent the width of the yard. Hence:
Perimeter of the yard = 2(length + width) = 2(x + y)
Substituting:
360 = 2(x + y)
180 = x + y
y = 180 - x
Therefore the width of the yard is (180 - x) yard.
The area of the yard is the product of the length and the width, hence:
Area (A) = length * width
A = x * (180 - x)
A = 180x - x²
As we observe clearly the problem given, it is clear that the order in which Debbie would choose the 3 books out of the total of 45 books is not important. This makes the problem an example of a Combination problem. The answer to this item is therefore letter B. C(45,3) read as <em>combination of 45 taken 3</em>.
