Respuesta :
Answer:
5-2
28 - 5²
17 - 7 × 2
[tex]\frac{28}{4}-4[/tex]
5 × 3 - 4 × 3
Step-by-step explanation:
Let x and y be any two numbers,
Such that,
y - x = 3,
⇒ y = 3 + x
Where, x is any positive real number.
Thus, we can find such equation by using this,
Such equations could be,
5 - 2, 28 - 25, 17 - 14, 7 - 4, 15 - 12
or
5-2, 28 - 5², 17 - 7 × 2, [tex]\frac{28}{4}-4[/tex], 5 × 3 - 4 × 3
Five equations where the difference is equal to 3 are, respectively:
(i) [tex]y - x = 3[/tex]
(ii) [tex]y + 9\cdot x = 3[/tex]
(iii) [tex]y -5\cdot x = 3[/tex]
(iv) [tex]y +2\cdot x = 3[/tex]
(v) [tex]y -11\cdot x = 3[/tex]
Reminder - Statement is incomplete. After some research, we determine that complete form is: "Write 5 linear equations where the difference is equal to 3".
From Analytical Geometry, a Linear Equation is an expression of the form:
[tex]y = m\cdot x + b[/tex] (1)
Where:
- [tex]x[/tex] - Independent variable.
- [tex]y[/tex] - Dependent variable.
- [tex]m[/tex] - Slope.
- [tex]b[/tex] - Intercept.
Based on the question, we need to write 5 expressions so that:
[tex]y - m\cdot x = b[/tex]
If we know that [tex]b = 3[/tex], then we get the following expressions:
(i) [tex]y - x = 3[/tex]
(ii) [tex]y + 9\cdot x = 3[/tex]
(iii) [tex]y -5\cdot x = 3[/tex]
(iv) [tex]y +2\cdot x = 3[/tex]
(v) [tex]y -11\cdot x = 3[/tex]
Please see this question related to Functions: https://brainly.com/question/22105858