Answer:
True
Step-by-step explanation:
f-1(x) otherwise known as the inverse of f(x) is the mathematical equivalent as 1/f(x).
Being inverse simply means that it "reverses" the operation that was applied to it with the original function .
For example: suppose f(x) = x+1, then if x = 1, f(1) = 1+1 =2
Now if we do f-1(x) or 1/f(x), then 1/f(1) = 1/1 +1 = 1/2
So, 2/1 is in fact the inverse of 1/2.
Hence, f-1(x) is the same as 1/f(x)
Explanation:
The volume of a cube is calculated as the length of the side raised to the cube:
<u>1. Cube drawn by Owen</u>
From the drawing:
<u>2. Cube drawn by Pat</u>
Side length is 3 units greater than the side length of Owen’s cube:
<u>3. Cube drawn by Carly</u>
Side length is 1/2 the side length of Pat’s cube:
3, 9, 27, 81, 243, 729, 2,187, 6,561, 19,683, 59,049, 177,147, 531,441, 1,594,323, 4,782,969, 14,348,907, 43,046,721, 129,140,163, 387,420,489, 1,162,261,467
Answer: c=11, m=28
c= Chris's score
m= Mike's score
c+m=39 we know from the equation that their scores
add up to 39, so this equation is a good starting
point.
c+2(c+3)=39 we also know that Mike's score is twice the sum of Chris's
score and 3 so we can substitute that in for his score.
now we can solve.
c+2c+6=39 distribute
3c+6=39 combine like terms
-6 -6
3c=33 addition property of equality
÷3 ÷3
c=11 multiplication property of equality
Now that we know Chris's score, we simply substitute that number in in our simple equation for earlier to find Mike's score.
11+m=39 substituted in 11 for c
-11 -11
m=28 addition property of equality
There you go! Don't worry, I had a lot of trouble with these types of problems too. That's why I'm so good at them now Hope this helps!