Answer:
12
Explanation:
We are given the expression:
![(5z+x^2)/(x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/svccnca5jr36xe867q9myrvwej9jr6xdtp.png)
and asked to evaluate when x= 5 and z=7. Therefore, we must substitute 5 for x and z for 7.
![((5(7)+(5)^2))/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/lc0dk7f656d4omf6j7532lgcfw8twvzrdj.png)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, evaluate the exponent.
(5)²= 5*5= 25
![((5(7)+25))/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/v2tz1ykf0cxqd6okjyd8wgw51h9b99m36n.png)
Next, multiply 5 and 7.
5*7=35
![((35+25))/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/h4vbxvxbl8hn2cqc7hihe90m9f69pbx782.png)
Next, add 35 and 25.
25+25=60
![(60)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/6gvrb95rb0ofa4mxw1iwes0iay7f0ot554.png)
Finally, divide 60 by 5.
![12](https://img.qammunity.org/2021/formulas/mathematics/middle-school/71jnwngklumevr3bpoxl7oqa306a955xoz.png)
The expression (5z+x²)/x when x=5 and z=7 is 12.