g(x) = 4x − 5 is a linear function (graph is a straight line), with slope 4. Knowing how to identify the slope is an essential skill.
If g(x) is represented by this table:
x f(x)
−1 −6
0 −3
1 0
and we have a reasonable expectation that this is a linear function, then we can choose any 2 points and find the slope of the line connecting them. For example, we'll find the slope connecting (-1, -6) and (1,0).
0-(-6)
It is: m = ------------ = 3
1-(-1)
So the slopes of these 2 linear functions are not the same.
The equation of g(x) is y = 3x - 3. In the table, note that when x=0, y= -3.
The y-intercept -3 of g(x) is identical to the y-intercept -3 of f(x).
Answer:
$8.50
Step-by-step explanation:
let the price before tax be $x
given that the sales tax rate is 4%, hence the amount she paid in taxes
= 4% of x
= (4/100)x
= 0.04x
We can now build an equation for what she paid:
Amount Paid = price before tax + amount paid in taxes
8.84 = x + 0.04x
8.84 = 1.04x (divide both sides by 1.04 and rearranging)
x = 8.84 / 1.04
x = $8.50
Answer:
50.4
Step-by-step explanation:
It’s Additive Inverse because it’s the opposite sign of the first term.
