Answer:
Answer:
17 seedlings
Step-by-step explanation:
Given;
The seedlings are at an equal distance in a straight line.
Distance between 3rd seedling and 5th seedling = 9/10 m
So, distance between 3rd seedling and 4th seedling = 9/10 ÷ 2 = 9/20 m
So, the distance between two seedlings in a line = 9/20 m
The given distance between 2nd seedling and the last seedling = 6 3/4 m = 27/4 m
Answer:
(B) A location
Step-by-step explanation:
If you have a point on a graph or number line, it always represents a certain location on the graph.
For instance, if we have a point on the x=3 line and the y=4 line, the point would represent the location (3,4).
Hope this helped!
A) 8/16 = 1/2; YES
B) 2^-1 = 1/2^1 = 1/2; YES
C) 2^0 = 1; NO
D) 2^1 = 2; NO
Hope this helped!
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
