<span>C = 2*pi*r
C = 2*pi*7
Exact Circumference: C = 14pi inches
C = 14*3.14
Approximate Circumference: C = 43.96 inches </span>
Answer:
f(g(x)) = 2x + 7; g(f(x)) = 2x+13; f(g(4)) = 15
The answer is about 240 more headbands than Suzie. The exact answer is 241! :)
If you would like to know what is the following expression in the simplest form, you can calculate it like this:
If you 24v / 3v divide by v, you will get 24 / 3. Now, if you divide 24 by 3, you will get 8.
The simplest form of 24v / 3v would be 8.
Y = |x| = x if x ≥ 0, -x if x < 0
absolute value can be interpreted as a function that does not allow negative real numbers, forcing them to be positive (leaving 0 alone). if the input x is more than or equal 0, then x stays positive so there is no need to do anything: "x if x ≥ 0".
if the input is less than 0, then it is an negative number and needs a negative coefficient to negate the negative: "-x if x < 0"
example: if x = -3, then it will take the "-x if x < 0" piece resulting in y = -(-3) = 3, which is what |-3| does
if x = 1, it will take the "x if x ≥ 0" piece and just have y = 1 which is what |1| does.
for x = 0, it will take the "x if x ≥ 0" and just have y = 0 which is what |0| does
