Answer: ![\Large\boxed{f(x-1)=x}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7Bf%28x-1%29%3Dx%7D)
Step-by-step explanation:
<u>Given function</u>
f(x + 1) = x + 2
<u>Isolate [ x + 1 ] on the right-hand side</u>
f(x + 1) = x + 1 + 1
f(x + 1) = (x + 1) + 1
<u />
<u>Substitute [ x + 1 ] with x</u>
f(x) = x + 1
<u>Substitute [ x ] with [ x - 1 ]</u>
f(x - 1) = (x - 1) + 1
![\Large\boxed{f(x-1)=x}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7Bf%28x-1%29%3Dx%7D)
Hope this helps!! :)
Please let me know if you have any questions
Given:
- The right rectangular prism is made up of 48 cubes.
- Each cube has an edge length of 1/4 inch.
![~](https://tex.z-dn.net/?f=~)
To Find:
- What is the volume of this prism?
![~](https://tex.z-dn.net/?f=~)
Solution:
![~](https://tex.z-dn.net/?f=~)
<u>Using formula: </u>
![~](https://tex.z-dn.net/?f=~)
![~](https://tex.z-dn.net/?f=~)
Substituting values in the formula:
![~](https://tex.z-dn.net/?f=~)
![\sf \longrightarrow \dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%20%20%5Cdfrac%7B1%7D%7B4%7D%20%20%5Ctimes%20%20%5Cdfrac%7B1%7D%7B4%7D%20%20%5Ctimes%20%20%5Cdfrac%7B1%7D%7B4%7D%20%3C%2Fp%3E%3Cp%3E)
![\sf \longrightarrow \dfrac{1}{64} \: {inch}^{3}](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%3C%2Fp%3E%3Cp%3E%20%5Cdfrac%7B1%7D%7B64%7D%20%20%5C%3A%20%20%7Binch%7D%5E%7B3%7D%20)
![~](https://tex.z-dn.net/?f=~)
Now,
Volume of 48 such cubes = Volume of 1 cube × 48 cubes
![~](https://tex.z-dn.net/?f=~)
![\sf \longrightarrow \dfrac{1}{64} \times 48](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%3C%2Fp%3E%3Cp%3E%20%5Cdfrac%7B1%7D%7B64%7D%20%20%5Ctimes%2048)
![\sf \longrightarrow \dfrac{48}{64}](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%3C%2Fp%3E%3Cp%3E%20%5Cdfrac%7B48%7D%7B64%7D%20)
![\sf \longrightarrow \dfrac{3}{4} \: {inch}^{3}](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%3C%2Fp%3E%3Cp%3E%20%5Cdfrac%7B3%7D%7B4%7D%20%20%5C%3A%20%20%7Binch%7D%5E%7B3%7D%20)
![~](https://tex.z-dn.net/?f=~)
Hence,
- Volume of prism is <u>3/4 inch^3</u>
Answer:
$10
Step-by-step explanation:
The question made is How much did I have? This question is about the amount of money that you had before receiving the money from your mom, dad and aunt and uncle. This means that the answer is the $3 you had plus the other $7 you said you had. So, $3+$7=$10. You had $10.