For this case we must find the inverse of the following function:
We follow the steps below:
Replace f(x) with y:
We exchange the variables:
We solve for "y":
Multiply by -2 on both sides of the equation:
We raise both sides of the equation to the square to eliminate the radical:
We subtract 3 from both sides of the equation:
We change y by f ^ {- 1} (x):
Answer:
If 42% of paint is white to get the result we just have to finid 42% of 18.
42% of 18 = 0.42*18=7.56$ - its our result
The sample space is:
(1, 1); (1, 2) - sum of 3; (1, 3); (1, 4); (1, 5) - sum of 6; (1, 6);
(2, 1) - sum of 3; (2, 2); (2, 3); (2, 4) - sum of 6; (2, 5); (2, 6);
(3, 1); (3, 2); (3, 3) - sum of 6; (3, 4); (3, 5); (3, 6) - sum of 9;
(4, 1); (4, 2) - sum of 6; (4, 3); (4, 4); (4, 5) - sum of 9; (4, 6);
(5, 1) - sum of 6; (5, 2); (5, 3); (5, 4) - sum of 9; (5, 5); (5, 6);
(6, 1): (6, 2); (6, 3) - sum of 9; (6, 4); (6, 5); (6, 6)
Answer:
Mrs. Gonzales can buy a maximum of 7 bracelets.
Step-by-step explanation:
A shirt costs $28 total.
Bracelets cost $4.50 each total.
Mrs. Gonzales has $63.50 in all, assuming she wants to spend all of it.
Set the equation, let bracelets be denoted by the variable, x.
4.50x + 28 = 63.50
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 28 from both sides:
4.50x + 28 (-28) = 63.50 (-28)
4.50x = 63.50 - 28
4.50x = 35.50
Next, divide 4.50 from both sides of the equation:
(4.50x)/4.50 = (35.50)/4.50
x = 35.50/4.50
x = ~7.89
However, note that you cannot round up, as you are buying. You also cannot buy .89 of a bracelet, so round down.
x = 7
Mrs. Gonzales can buy a maximum of 7 bracelets.
~
