<u>Part A:</u>
For the function f(x) = 1 - (4)^x -> y -intercept = 0
For the given table we are given the point (0, 2) -> y-intercept = 2
For the graph we can see that the graph intersects the y-axis at point "(0, 1)"
-> the y-intercept = 1
The table has the greatest y-intercept
<u>Part B:</u>
Function: f(x) = 1 - (4)^2 = 1 - 16 = - 15,
Table: Given g(x) (output) = 6
Graph: Output = -7
The table again has the greatest output
Answer:
Mary and Duke have 3,172 stamps altogether
1,364 + 1,808 = 3,172
Answer:
Step-by-step explanation:
In a geometric sequence, consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
an = a1r^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the given sequence,
a1 = - 5
r = 15/- 5 = - 3
Therefore, the explicit rule for this sequence is
an = - 5(- 3)^n - 1
Answer:
9
Step-by-step explanation:
2,3,4,7,7,7,9,9,14,17,21
21,17,14,9,9,7,7,7,4,3,2
3,7,7,7,9,9,17,21
Answer:
4,784ft^2
Step-by-step explanation:
Well in this case we will just use the square and triangle area formulas instead of the pyramid surface area formula.
So if the base is a square then the area is 32*32 which is 1,024.
Now for the trangle, the area of a triangle b*h/2.
So b*h is 47*32 which is 1,504.
So 1,504/2 is 752.
So 752 is the area of 1 triangle and we have 4 so 5*752 is 3,760.
So 3,760 + 1,024 is 4,784.
So the total SA if the pyramid is 4,784ft^3.
