Answer: for the on your own the equation is y=2x for the outputs on the other thing just add the numbers up
Step-by-step explanation:
Let's say that B makes $100.
Then A makes $75.
So, your question then becomes 100 is what percent of 75?
This can be solved by setting up the proportion 100 / 75 = x / 100
75x = 10000
x = 133.3
So, B's income is 33.3% more than A's income.
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
Answer:
9 days
Step-by-step explanation:
.5 times 400 is 200
200+100 is 300 per day
300 times 8 is 2400
That's not enough so one more day.
Mark me as brainliest if this helps!
Answer:
x= 1
y= -1
Hope this helps!
Step-by-step explanation:
1 Substitute y=3x−4 into y=x-2
3x-4=x-2
2 Solve for x in 3x-4=x-2
x=1
3 Substitute x=1 into y=3x-4
y=-1
4 Therefore,
x=1
y=-1