What is the equation of the line that passes
1 answer:
Answer:
Step-by-step explanation:
First, find the slope of the line for the two points.
Slope is Rise/Run.
For the two points (-8,-4) and (3,-10):
Rise (-10 - (-4)) = -6
Run (3 - ( -8)) = 11
The slope is Rise/Run or -(6/11)
The equation becomes y = -(6/11)x + b
Find b by entering either of the 2 points given. I'll use (3,-10):
y = -(6/11)x + b
-10 = -(6/11)(3) + b
b = -10 + (6/11)(3)
b = -10 +(18/11)
b = -(110/11) + (18/11)
b = -(92/11)
The equation becomes y = -(6/11)x - (92/11)
See attached graph.
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Answer:
The total resistance is
Step-by-step explanation:
Attached please find the circuit diagram. The circuit is composed by a voltage source and two resistors connected in parallel: and
.
First step: find the total current
For finding the current that the voltage source can provide, you must find the current consumed by each load and then add both. To do that, take first into account that the voltage is the same for both resistors ( and
).
The total current is:
Now, the total resistance () would be the voltage divided by the total current:
If you replace by the expression obtained previously, the total resistance would be:
After simplifying the terms you should get:
Now, you must replace the values of the resistors:
Thus, the total resistance is
Answer:
A) F(x) = 50 + ( x - 10 )*9
B) Graph
C) lim ( x ⇒ 10) F(x) = 50
Step-by-step explanation:
A) F(x) = 50 + ( x - 10 )*9 since the first 10 hours are included in initial fee
B) In Annex
C) lim (x ⇒ 10) F(x) = 50 + ( 10 -10)*9
lim ( x ⇒ 10) F(x) = 50 + 0
lim ( x ⇒ 10) F(x) = 50
