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:
Here it is.. you need to calculate some numbers
Answer:
So, when we solve for x we see that we can make 16 cookies using 1 cup of sugar. Then, yes, as you suggested we could divide 30 cookies by this ratio to see that we need less than 2 cups of sugar to make 30 cookies: And, as you said, this value is less than 2 cups, the value under Quantity B. Good job! I hope this helps :)
Step-by-step explanation:
Part A:
23 + 13x ≤ 81
Part B:
23 + 13x ≤ 81
<u>-23 </u> <u>-23</u>
13x ≤ 58
<u>/13 </u> <u>/13</u>
x ≤ 4.46
Part C:
This means that you can have 4 cheeseburgers while keeping the fat under 81 grams.
Y=-1/3x+4
x2-x1/ y2-y1
(0,4)(2,-2)
2-0/-2-4
1/-3
y-intercept is 4
y=-1/3x+4