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iogann1982 [59]
3 years ago
6

Factorise yf -cg - yg+ cf​

Mathematics
1 answer:
storchak [24]3 years ago
7 0

Answer:

(f-g) (y+c)

Step-by-step explanation:

yf -cg - yg+ cf​

Using factor by grouping,  y from the first group and c from the second group

yf  - yg+ cf​ -cg

y( f-g) +c(f-g)

Factor out (f-g)

(f-g) (y+c)

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PSEG Long Island charges its residential customers a little monthly service charge plus an energy charge based on the amount of
german

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:

y = mx + b

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:

C = f(h) = 37.6 + 0.1h

Item a:

  • The slope is of m = 0.1, which means that it costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.

Item b:

f(90) = 37.6 + 0.1(90) = 37.6 + 9 = 46.6

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

8 0
3 years ago
Please help!! I will mark you brainliest
erma4kov [3.2K]

Answer:

8x-3=5x+6

Step-by-step explanation:

8x-3=5x+6

3x=9

x=3

7 0
3 years ago
A skier is trying to decide whether or not to buy a season ski pass. a daily pass is $75. A season ski pass is $350. The skier w
pishuonlain [190]
Since the skier has to rent skis for 30 dollars per day with both passes, we can ignore it while solving the question.

A season pass is 350, while a daily pass is 75.

\frac{350}{75} = \frac{25\times 14}{25\times 3} = \frac{14}{3} = 4 \frac{2}{3}

So a seasonal pass is equivalent to having 4.6667 daily passes. And you can't buy 0.6667 of a pass.

So, if you went at least 5 days with a seasonal pass, then the seasonal pass would be less expensive than a daily pass.
6 0
3 years ago
The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5 : 2 but, after Jacky gave 15 dolls to Peter, t
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Answer:

35 [$]

Step-by-step explanation:

1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;

2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;

3) using the two above it is possible to make up the system of two equations:

\left \{ {{\frac{j}{p} =5/2} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=2.5p} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=25} \atop {p=10}} \right.

4) finally, the have together 10+25=35 doll-s.

8 0
2 years ago
What percent of 250 is 45?
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Answer:

18

Step-by-step explanation:

If you are using a calculator, simply enter 45÷250×100 which will give you 18 as the answer.

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4 years ago
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