Answer:
h(x) = x/2 - 1/2
Step-by-step explanation:
Here's the procedure for finding the inverse function algebraically:
1. Replace the label 'f(x)' with the label 'y:' y = 2x + 1
2. Interchange x and y: x = 2y + 1
3. Solve the resulting equation for y: 2y = x - 1, or y = (1/2)(x - 1) or y = x/2 - 1/2
This result corresponds to the 1st given possible answer choice.
The desired inverse function is h(x) = x/2 - 1/2
Answer:
-2xy^2+x^2y+x^3+6y^2+3xy
Step-by-step explanation:
Answer:

Step-by-step explanation:
Question:
You are ordering short-sleeve shirts (x) for $10 and long-sleeve shirts (y) for $15. Your budget is $300. Write the equation and find the intercepts.
Interpret their meaning.
Answer:
The x-intercept shows that you can buy 30 short-sleeve shirts and 0 long-sleeve shirts.
The y-intercept shows that you can buy 20 long-sleeve shirts and 0 short-sleeve shirts.
Step-by-step explanation:
Given
$10 per short sleeve
$15 per long sleeve
Budget = $300
The above can be represented as:
Total Cost of Short Sleeve + Total Cost of Long Sleeve = Budget
i.e.


To solve for the y intercept, we set x to 0


Divide through by 15

<em>This implies that, you can buy 0 short sleeves and 20 long sleeves</em>
To solve for the x intercept, we set y to 0


Divide through by 10

<em>This implies that, you can buy 0 long sleeves and 30 short sleeves</em>
Answer:
2+11+16=11+16+2
Step-by-step explanation:
According to the commutative law of addition,
(A+B)+C=(C+B)+A
i.e.A+B+C=C+B+A