Finance charge
(5,834.53−150)×(0.204÷12)=96.64
New balance
5,834.53−150+96.64+325
=6,106.17
Answer:
It forms a scalene triangle
Step-by-step explanation:
This is because scalene triangle does not have any of its sides equal.
is also 10.54.And looking at the measurements none of it are equal to each other so therefore it is a scalene triangle
Answer:
3/4
Step-by-step explanation:
pizza is cut into fourths because there are for people eating it. the brothers have 3/4 of the pizza because there are only 3 brothers
Answer:
The correct answer is: She bought 2 dress shirts and 5 t-shirts
Step-by-step explanation:
Let's marked dress shirts with x and t-shirts with y.
Now we will make equations to solve this problem:
x + y = 7 => y = 7 - x
40 x + 8 y = 120
When we replace y = (7 - x) in the previous equation we get:
40 x + 8 (7 -x) = 120 40 x + 56 - 8 x = 120 => 32 x = 120 - 56 =>
32 x = 64 => x = 64/32 = 2 => x = 2
y = 7 - x = 7 - 2 = 5 => y = 5
x = 2 dress shirts
y = 5 t-shirts
God with you!!!
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
