Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope of the line and "b" is the y-intercept.
We know that the slope of this line is:
And the y-intercept is:
Since the line intersects the x-axis when , we can substitute values into :
The final step is to solve for "x", then:
The x-intercept of the line is 2.
We must figure out the value of x when the y-coordinate is 0, in order to identify the x-intercept of a line.
We can express the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept,
Given that the slope of the line is -3/2 and the y-intercept is 3.
Substituting the given values into the equation, we have y = (-3/2)x + 3.
To find the x-intercept, we set y = 0 and solve for x:
0 = (-3/2)x + 3
Subtracting 3 from both sides:
(-3/2)x = -3
To isolate x, we multiply both sides by -2/3:
x = (-3)(-2/3)
x = 2
Therefore, the x-intercept of the line is 2.
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b. $109.08
c. $118.80
d. $408.04
e. $444.40
{(−1, 1), (−2, 2), (4, −4), (7, −7)}
The domain and range of the relation {(-1, 1), (-2, 2), (4, -4), (7, -7)} are {-1, -2, 4, 7} and {1, 2, -4, -7} respectively.
Not every relation is a function, but every function is a relation.
A function is a relation with clear boundaries.
When we say that something is well-defined, we mean that each element has been assigned a specific image.
The given set is,
{(-1, 1), (-2, 2), (4, -4), (7, -7)}
The domain of a set is the values of x,
Domain = {-1, -2, 4, 7}
The range of a set is the values of y,
Range = {1, 2, -4, -7}
The relation makes the function because for every value of x the sign of function y is negative,
The required function is,
y = -x.
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