Using linear function concepts, it is found that:
- a) It costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.
- b) f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.
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A <em>linear function </em>has the format given by:

In which:
- m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
The equation for the cost of h kilowatt hours (kWh) of electricity used in excess of 250 kWh is of:

Item a:
- The slope is of
, which means that it costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.
Item b:

250 + 90 = 340.
f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.
A similar problem is given at brainly.com/question/24808124
<u>Answer</u>
-5/3, -1, 0.7, √2, √5
<u>Explanation</u>
√5 = 2.236
-1 ⇒ this is less than 1.
-5/3 = -1.666667 this is less than 1. -5/3 < -1
0.7 > -1
√2 = 1.414 ⇒ √5 > √2
Arranging them from the least to the greatest;
-5/3, -1, 0.7, √2, √5
The factors of 4 are 1, 2, and 4 .
The factors of 9 are 1, 3, and 9 .
Answer:
9) 4
10) p¹⁵/q⁹
Step-by-step explanation:
9)
As per the law of indices, (xᵃ)ᵇ=xᵃᵇ.
So divide 8 by 2 to get 4
10)
p(p⁻⁷q³)⁻²q⁻³
p(p¹⁴q⁻⁶)q⁻³ <em>(because (xᵃ)ᵇ=xᵃᵇ)</em>
pq⁻³(p¹⁴q⁻⁶)
p¹⁵q⁻⁹
p¹⁵/q⁹ <em>(because x⁻ᵃ =1 /xᵃ)</em>
Subtracting a number from x shifts the graph that may places tot he right
Subtracting a number at the end of the equation, shifts the graph that many units down.
The answer would be: Shift the graph of y = x^2 right 2 units and then down 10 units.