Respuesta :
Answer:
9
Step-by-step explanation:
Given expression: 4x - 7
To determine a numerical value of the provided expression, when x = 4, simply substitute the value of x into the expression and simplify it using the order of operations (PEMDAS). Work has been shown below.
- [tex]\implies 4x - 7[/tex]
- [tex]\implies 4(4) - 7 \ \ \ \ \ \ [\text{Substituting the value of x}][/tex]
Simplify the expression using PEMDAS:
The PEMDAS stands for:
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- First - Last
According to the PEMDAS, it is required to simplify the expression using multiplication (M in PEMDAS) firsthand, as there are no parentheses (P in PEMDAS) and exponents (E in PEMDAS). Thus, we get the following:
Please refer to underlined text for simplification of that expression.
- [tex]\implies 4 \times 4 - 7[/tex]
- [tex]\implies \underline{4 \times 4} - 7}[/tex]
- [tex]\implies {16 - 7}[/tex]
Clearly, we can see that division (D in PEMDAS) and addition (A in PEMDAS) is not occurring in the expression. Therefore, we will need to subtract the two terms (16 and 7). Thus, we get the following simplified term:
- [tex]\implies \underline{16 - 7}[/tex]
- [tex]\implies \boxed{9}[/tex]
Therefore, the value of 4x - 7, when x = 4, is 9.
Learn more about PEMDAS: https://brainly.com/question/1015001
