Answer:
25
Step-by-step explanation:
Hence 11% represents 25 students.
Answer:
(2 , 30) & (4, 60)
Step-by-step explanation:
y = 15x
When x = 2 , y = 15*2 = 30
When x = 4 ; y = 15 *4 = 60
Hi there!
For a line to be PARALLEL, it must contain the same slope.
The given line has a slope of 4, so we can use the point-slope formula to solve:
y1 = y-coordinate of given point
x1 = x-coordinate of given point
m = slope
Plug in the values:
Simplify:
Answer:
8.9
Step-by-step explanation:
The answer is 8.9 because two negatives divided by each other equals a positive. In this case, there are two negatives so you know the answer will be a positive. In the end when you divided –65.86 ÷ (–7.4), you get 8.9!
Hope this helps, have a good day. c;
(You can also type it into your calculator if you have one, and you should hopefully get the same answer.)
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
