Answer:
linear: y = x + 1
non-linear: y = x² + 1
Step-by-step explanation:
In a linear relationship, from one pair (x1,y1) to other one (x2,y2) that satisfies the equation, there is a constant k, so that k = (y2 - y1)/(x2 - x1).
<u>Equation</u>: y = x + 1
Computing some points as an example:
<u>x | y </u>
0 | 1
1 | 2
2 | 3
3 | 4
(2-1)/(1-0) = (3-2)/(2-1) = (4-3)/(3-2) = 1. Therefore, the equation is linear.
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<u>Equation</u>: y = x² + 1
Computing some points as an example:
<u>x | y </u>
0 | 1
1 | 2
2 | 5
3 | 10
(2-1)/(1-0) ≠ (5-2)/(2-1) ≠ (10-5)/(3-2). Therefore, the equation is not linear.
Answer:
The answer would be 0.36
Step-by-step explanation:
Answer:
( d / c ) < ( a / d )
( b / d ) < ( a / d )
( d / a ) < ( a / d )
Step-by-step explanation:
For this problem, we need to consider the given information that a > b > c > d > 0. Note that a is the greatest number and that d is the least number.
Given this fact, we can create a fraction that will result in a maximum value by simply doing the following:
a / d
The reason the fraction ( a / d ) results in a maximum, is because of the given information where a is the furthest from 0, and d is the closest to 0. Therefore, we can say that no other combination will result in a value greater than ( a / d).
So in the three given statements, we have different combinations of fractions being compared to our maximum value fraction. Our maximum value fraction ( a / d ) will always be greater than any other combination.
Thus, we will choose the sign that makes ( a / d ) greater than the other choice fractions.
Cheers.
Slope = 1
y-intercept = -3, which can be expressed as (0,-3).
y - y_1 = m(x - x_1)
y -(-3) = 1(x - 0)
y + 3 = x
The slope-intercept form is
y = x - 3.
The standard form is Ax + By = C.
y = x - 3
3 = x - y
Done.
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