We have the expression:
When we have rational functions, where the denominator is a function of x, we have a restriction for the domain for any value of x that makes the denominator equal to 0.
That is because if the denominator is 0, then we have a function f(x) that is a division by zero and is undefined.
If we have a value that makes f(x) to be undefined, then this value of x does not belong to the domain of f(x).
Expression:
Answer: There is no restriction for x in the expression.
Answer:
Step-by-step explanation:
Ok so you are given the values of the slope-intercept form with m being the slope and b being the y-intercept. So since b is equal to -1 you want to plot a point at (0, -1) since that is the y-intercept (when x = 0). The next thing you want to do is look at the slope, which is essentially saying each time x increases by 5 the y-value decreases by 4 or in other words rise/run which is negative which is why you're going down. So from the point (0, -1) go forward 5 units and go down 4 units which should lead you to (5, -5) and the third point you can plot is by going backwards instead of forwards. So instead of every time x increases by 5 y decreases by 4 you're going to do the inverse. Every time x decreases by 5, y is going to increase by 4. So by doing this from the y-intercept (0, -1) you should go backwards 5 units and up 4 units which should lead you to (-5, 3). And then now just draw a line that goes through all those three points. Hope that helps :)
Answer:
25.12
Step-by-step explanation:
Formula: 2πr, r = d/2
Given: π = 3.14, d = 8
Sub: r = 8/2
Simplify: r = 4
Sub: 2(3.14)(4)
Simplify: 6.28(4)
Solve: 25.12
Answer:
(2, 3)
Step-by-step explanation:
2x + 5y = 19
5y = -2x + 19
y = 
P(abscissa, ordinate)
P(x, 1.5x)
P(2, 3)
3 = 15/5
3 = 3
