This would be modeled by a translation 1 unit down and a 270° clockwise rotation.
Each of these points has the x and y values switched, with the y value one less than that of the preimage and negated. Taking one off the y-value is a translation 1 down; negating the y and switching it and x is a 270° clockwise rotation.
Answer:
yesssiriytrewqsdfgh
Step-by-step explanation:
(1, 2), (2, 4), (3, 8), (4, 16)
Use a recursive formula to determine the time she will complete station 5. Show your work.
Geometric Recursive Formula
f(n) = f(n − 1) • r
Hi!
If the perimeter of the triangle is 41, then x is:
5x + 2 + 6x - 3 + 3x = 41
5x + 6x + 3x = 41 + 3 - 2
14x = 42
x = 42/14
x = 3
The x is 3.
First, you need to find the derivative of this function. This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.
f'(x)=3x^2-3
Now, set this function equal to 0 to find x-values of the relative max and min.
0=3x^2-3
0=3(x^2-1)
0=3(x+1)(x-1)
x=-1, 1
To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each. We will use -2, 0, 2.
f'(-2)=3(-2)^2-3=3(4)-3=12-3=9
f'(0)=3(0)^2-3=3(0)-3=0-3=-3
f'(2)=3(2)^2=3(4)-3=12-3=9
We examine the sign changes to determine whether it is a max or a min. If the sign goes from + to -, then it is a maximum. If it goes from - to +, it is a minimum. Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.
To determine the values of the relative max and min, plug in the x-values to f(x).
f(-1)=(-1)^3-3(-1)+1=-1+3+1=3
f(1)=(1)^3-3(1)+1=1-3+1=-1
Hope this helps!!
Use a percentage finder ;), also it will show you the work on some sites
;)
