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.
------------------------------
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
I’m very excited, I get to see my brothers so that’s fun
Answer:
7) a= 20
8) m= 5
9)n = 5
10) b = 8
Step-by-step explanation:
7) 18+2=-2+2+a
>> 20 = a >> a = 20
18 + 2 = 20 so that isolates the variable leaving a = 20
8) -7+12 = m -12+12
>>> 5 = m >> m = 5
-7 + 12 = 5 so that again isolates the variable leaving m = 5
9) <u>-8(7</u> + <u>7n</u>) = -336
>> -56+56 + -56n = -336+56
>>> -56n/-56 = -280/-56
>>>> n = 5
use distributive property, cancel out necessary numbers, isolate the variable. leaving n = 5.
10) -140 = <u>-7(-4 </u>+ <u>3b)</u>
>> -140 = 28 - 21b >> -140-28 = -21b +28-28 ( flipped the numbers)
>>> -168/-21 = -21b /-21
>>>> 8 = b >> b =8
Hope it helps!
Answer:
69
Step-by-step explanation:
I'm mathematics, the word 'of' transfers into becoming 'times or Multiply'
Therefore, the expression can be rewritten as:
10/100 of x = 30
10x / 100 = 30
Cross Multiply the equation to solve for x
10x = 100 * 30
10x = 3000
x = 3000 / 10
x = 300
(Since we gotten the value of x as 300) let's find 23% of it.
Therefore,
23% of x, ( when x is 300)
= 23/100 * 300
= 23 * 3
= 69
(Well, although that's the workable solution, the option doesn't seen to tally)
Maybe you check the source, but am certain about the Solution.
Let's keep learning, maths is fun !
Answer:
The number is -1
Step-by-step explanation:
The equation for the first part is (2n+7)2. This is because "twice a number" is 2n and "7 is added" will make it 2n+7. The "sum is multiplied by two" Is multiplying everything by two. This will make it (2n+7)
The second part is -8n+2. Since a number is multiplied by negative eight it will be -8n. Then it is added by two.
Both equation equal each other the overall equation will be (2n+7)2=-8n+2
You will distribute. making it 4n+14=-8n+2
Add 8n to both sides making it 12n+14=2
subtract 14 from both sides making it 12n=-12
Divide both sides by 12 . making it number=-1