Hey there!
I just worked it out and the answer is D. 4y^2-10y-1
I’ve just studied these long equations and then having to simplify the expressions in algebra. I really hope my answer benefits you in the best way!
~Brooke❤️
Answer:x=-1
Step-by-step explanation:
Answer:
Total number of eggs in basket = 56
Step-by-step explanation:
Let z be the total number of eggs
Green eggs = 
× z ........1
Blue eggs = 
× z .......2
Rest of eggs = 26 ........3
The addition of 1, 2 and 3 is equal to z
× z + + 26 = z
+ 26 = z ∵GCF for 4 and 7 is 28
+ 26 = z
15z + (26 × 28) = 28z ∵ multiply both sides by 28
15z + 728 = 28z
28z - 15z = 728 .......... rearranging above equation
13z = 728 ⇒ z = 
⇒ z = 56
Total number of eggs = z = 56
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: A=16
Step-by-step explanation:
24=a+8
-a=8-24
-a=-16
