The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels
<h3>What is an
equation?</h3>
An equation is an expression used to show the relationship between two or more numbers and variables.
This year, a large farm harvested rice from 690 acres of farmland. The crop yield was 7,553 bushels per acre.
Hence:
Amount of rice harvested = 7,553 bushels per acre * 690 acres = 5211570 bushels
The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels
Find out more on equation at: brainly.com/question/2972832
Solution:
The function is given below as
![\begin{gathered} g(x)=\frac{x+4}{x-1} \\ h(x)=2x-1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20g%28x%29%3D%5Cfrac%7Bx%2B4%7D%7Bx-1%7D%20%5C%5C%20h%28x%29%3D2x-1%20%5Cend%7Bgathered%7D)
To figure out
![(goh)(x)](https://tex.z-dn.net/?f=%28goh%29%28x%29)
To do this , we will substitute x= 2x-1 in g(x)
![\begin{gathered} g(x)=\frac{x+4}{x-1} \\ g(h)(x)=\frac{2x-1+4}{2x-1-1} \\ g(h)(x)=\frac{2x+3}{2x-2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20g%28x%29%3D%5Cfrac%7Bx%2B4%7D%7Bx-1%7D%20%5C%5C%20g%28h%29%28x%29%3D%5Cfrac%7B2x-1%2B4%7D%7B2x-1-1%7D%20%5C%5C%20g%28h%29%28x%29%3D%5Cfrac%7B2x%2B3%7D%7B2x-2%7D%20%5Cend%7Bgathered%7D)
Hence,
The composte function will be
![(goh)(x)=\frac{2x+3}{2x-2}](https://tex.z-dn.net/?f=%28goh%29%28x%29%3D%5Cfrac%7B2x%2B3%7D%7B2x-2%7D)
Step 2:
To figure out the domain,
In mathematics, the domain of a function is the set of inputs accepted by the function.
Hence,
The domain of the function is
Answer:
x = - 4
Step-by-step explanation:
Given
3 - 2 |0.5x + 1.5 | = 2 ( subtract 3 from both sides )
- 2 |0.5x + 1.5 | = - 1 ( divide both sides by - 2 )
|0.5x + 1.5 | = 0.5
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, thus
0.5x + 1.5 = 0.5 ( subtract 1.5 from both sides )
0.5x = - 1 ( divide both sides by 0.5 )
x = - 2 ← solution Manuela obtained
OR
-(0.5x + 1.5) = 0.5 ← distribute parenthesis on left side by - 1
- 0.5x - 1.5 = 0.5 ( add 1.5 to both sides )
- 0.5x = 2 ( divide both sides by - 0.5 )
x = - 4 ← other solution to the equation