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:
Pounds for cashew- 20.96
Pounds for Brazilian nut- 11.04
Step-by-step explanation:
Let c be the pounds of cashew
Let b ne the pound of Brazilian but
32×6.24
= 199.68
7.1c + 4.60b= 199.68.......equation 1
c + b= 32..........equation 2
From equation 2
c= 32-b
Sub 32-b for c in equation 1
7.1(32-b) + 4.60b= 199.68
227.3-7.1b+4.60b, = 199.68
227.3-2.5b= 199.68
-2.5b= 199.69-227.3
- 2.5b= -27.61
b= 27.61/2.5
b= 11.04
Sub 11.04 for b in equation 2
c+b= 32
c + 11.04= 32
c= 32-11.04
c= 20.96
12 pounds
1 bag of grapes = 4 pounds
Martin bought 3 bags so:
4 pounds x 3 = 12 pounds
Hope this helps
I thought this might be easier to answer and show the work using a pic
