Answer:
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Answer:
The rise is -5 the run is 4
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
-5
4
=
-1.25
θ =
arctan(
ΔY
) + 360°
ΔX
=
308.65980825409°
ΔX = 2 – -2 = 4
ΔY = -1 – 4 = -5
Distance (d) = √ΔX2 + ΔY2 = √41 = 6.4031242374328
Equation of the line:
y = -1.25x + 1.5
or
y =
-
5
x
4
+
3
2
When x=0, y = 1.5
When y=0, x = 1.2
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Answer:

Step-by-step explanation:
The bill = $190
Less flat fee = 25
Work done = $165

The cubic function is f(x) = x^3
You need to perform three transformations to the cubic function to obtain
f(x) = - (x + 2)^3 - 5.
Those transfformations are:
1) Shift f(x) = x^3, 2 units leftward to obtain f(x) = (x + 2)^3
2) reflect f(x) = (x + 2)^3 across the x-axis to obtain f(x) = - (x + 2)^3
3) shift f(x) = - ( x + 2) ^3, 5 units downward to obtain f(x) = - (x + 2)^3 - 5