The function of the linear equation shows that the slope(m) = -7, the x-intercepts is (-1/7,0), and the y-intercepts is (0,-1)
<h3>What is the function of f(x) of a linear equation?</h3>
The function of a linear equation takes the form y = ax + b. In this situation, the values of y can be determined when x = 0, and the values of x can be determined when y = 0
From the given information:
y = f(x) = -7x - 1
We can determine the:
- Slope (m)
- x-intercepts, and
- y-intercepts.
y = -7x - 1
Slope (m) = -7
Set the values of y = 0 to determine the x-intercepts.
0 = -7x - 1
7x = - 1
x = -1/7
x-intercepts = (-1/7, 0)
Set the values of x = 0 to find the y-intercepts.
y = -7(0) - 1
y = - 1
y-intercepts = (-1, 0)
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Answer:
<em>Choice D.</em>
Step-by-step explanation:
Vertical line test for functions:
If a vertical line drawn anywhere on the graph intersects the graph in more than one point, it is not a function.
If you draw a vertical line passing through any point between x = -4 and x = 4, the line will intersect two points on the circle. The relation fails the vertical line test. That shows that this relation is not a function.
Answer:
Step-by-step explanation:
the you have to find the common denomontor which is 24 what ever you do to the bottom you do to the top so you answer is 1 5/24
Let's say the number of days library book is late is X, and the total fee is Y.
Liability charges $0.30 dollars as a fee for being 1 day late,
For being 1 day late, fee charge is: 1* $0.30
So, for X days the charge would be: X*$0.30.
Total charge for being X days late is Y, Which means: Y= 0.30 * X.
Now We would have to check all the viable solutions in the answer to see if they satisfy the equation Y= 0.30 * X
Option one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution because the value of number of days can not be negative and in option one and two, value of days -3 and -2.5 is negative.
Option three(4.5, 1.35) can not be correct because library charges fee for a full day so the number for days would be a whole number. Library would not charge for 4.5 days, they would either charge of 4 days or 5 days because 4.5 is not an whole number.
Option four(8, 2.40) is the correct answer because it satisfies our equation;
Y= 0.30 * X
2.40= 0.30 * 8
2.40 = 2.40.
Fourth option (8, 2.40) is the only viable solution to this question.