Answer:
y=-3x+7
Step-by-step explanation:
y=mx+b is the formula you are going to end up once completed.
This, by given two points:
(4,-5) (3,-2)
= Point-Slope Intercept Form
= After subtracting both from above
-3 = is your slope, decreasing.
Substitute -3 for y=mx+b
y=-3x+b
Use one of the given points (any) to find what b equals.
(4,-5)
x y
-5=-3(4)+b
-5= -12+b
7=b
Final Equation:
y=-3x+7
The domain the given graph is :
- -12 <u><</u> x <u><</u> 13
Answer:
Part 1) The perimeter is 
Part 2) The area is 
Step-by-step explanation:
Part 1) Find the perimeter
we know that
The perimeter is equal to the circumference of the exterior circle plus the circumference of the interior circle
so
Part 2) Find the area
we know that
The area of the figure is equal to the area of the larger circle minus the area of the smaller circle
so
The answer is A, the first one :)
Let,
f(x) = -2x+34
g(x) = (-x/3) - 10
h(x) = -|3x|
k(x) = (x-2)^2
This is a trial and error type of problem (aka "guess and check"). There are 24 combinations to try out for each problem, so it might take a while. It turns out that
g(h(k(f(15)))) = -6
f(k(g(h(8)))) = 2
So the order for part A should be: f, k, h, g
The order for part B should be: h, g, k f
note how I'm working from the right and moving left (working inside and moving out).
Here's proof of both claims
-----------------------------------------
Proof of Claim 1:
f(x) = -2x+34
f(15) = -2(15)+34
f(15) = 4
-----------------
k(x) = (x-2)^2
k(f(15)) = (f(15)-2)^2
k(f(15)) = (4-2)^2
k(f(15)) = 4
-----------------
h(x) = -|3x|
h(k(f(15))) = -|3*k(f(15))|
h(k(f(15))) = -|3*4|
h(k(f(15))) = -12
-----------------
g(x) = (-x/3) - 10
g(h(k(f(15))) ) = (-h(k(f(15))) /3) - 10
g(h(k(f(15))) ) = (-(-12) /3) - 10
g(h(k(f(15))) ) = -6
-----------------------------------------
Proof of Claim 2:
h(x) = -|3x|
h(8) = -|3*8|
h(8) = -24
---------------
g(x) = (-x/3) - 10
g(h(8)) = (-h(8)/3) - 10
g(h(8)) = (-(-24)/3) - 10
g(h(8)) = -2
---------------
k(x) = (x-2)^2
k(g(h(8))) = (g(h(8))-2)^2
k(g(h(8))) = (-2-2)^2
k(g(h(8))) = 16
---------------
f(x) = -2x+34
f(k(g(h(8))) ) = -2*(k(g(h(8))) )+34
f(k(g(h(8))) ) = -2*(16)+34
f(k(g(h(8))) ) = 2
