Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
Decimal form: 4.05, 0.5
Exact form: 9/2, 1/2
If the width is 15, and the scale factor from width to length is 3:2, then you will have to divide 15 by 3 to get your original width.
15/3 = 5.
5 is your original width.
Answer:
A. 41
Step-by-step explanation:
Look at the number 6 and follow the line until it shows you the number, which 41
The mapping rule for 90 degrees counterclockwise would be (-y,x). So if you had (x,y) it would transfer to (-y,x). Yours is wrong it should be (4,-3). Remember
-(-4) is 4 and -3 stays as -3.
Basically, memorize these mapping rules.
Hope this helped!
