1/9 = 1.11
29/8 = 3.63
-------
3.73 = 269/72
or....
1/9 >>> 8/72 (72 is the common denominator) (Multiply the N and D by 8)
29/8 >>> 261/72 (72 is the common denominator) (Multiply the N and D by 9)
-------------
269/72
D. P(A x B)
To work out the success of both events you have to multiply them together. I'd seriously reccomend learning this rule as it's very important later on in mathematics as it's basically the foundation of all probability statistics.
Answer:
This is easy -- it's just a list of steps. At this level, the problems are pretty simple.
Let's just do one, then I'll write out the list of steps for you.
Find the inverse of f( x ) = -( 1 / 3 )x + 1
STEP 1: Stick a "y" in for the "f(x)" guy:
y = -( 1 / 3 )x + 1
STEP 2: Switch the x and y
( because every (x, y) has a (y, x) partner! ):
x = -( 1 / 3 )y + 1
STEP 3: Solve for y:
x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3
STEP 4: Stick in the inverse notation, f^( -1 )( x )
f^( -1 )( x ) = -3x + 3
Step-by-step explanation:
Answer:
y < 160
Step-by-step explanation:
y + 20 < 180
-20 < -20
y < 160
y is less than 160
Answer:
(16)(1) => identity property of multiplication
2(3+7) = 2(3) + 2(7) => distributive property
(2+6) + 3 = 2+ (6+3) => associative property
9+0 = 9 => identity property of addition
8 x 4 = 4 x 8 => commutative property
