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mario62 [17]
3 years ago
13

Determine the solution to f(x) = g(x) using the following system of equations:

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
8 0
F(x) = g(x)

f(x) = 3x + 12
g(x) = -9.5x -13

Since both are equal. then

3x + 12 = -9.5x - 13
3x + 9.5x = -13 - 12
12.5x = - 25
12.5x/12.5 = -25/12.5
x = -2

to check:
f(-2) = 3(-2) + 12 = -6 + 12 = 6
g(-2) = -9.5x - 13 = -9.5(-2) -13 = 19 - 13 = 6

f(x) = g(x)
f(-2) = g(-2)
<span>6 = 6</span>
Rama09 [41]3 years ago
4 0

Answer:

x= -2

Step-by-step explanation:


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Mr Lim, Mr Tan and Mr Chan have $8650 altogether. Mr Lim has $450 more than Mr Tan. Mr Chan has twice as much money as Mr Tan. H
Natalka [10]

Answer:

Mr. Lim will have $2500

Step-by-step explanation:

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The total amount of money which Mr. Lim, Mr. Tan and Mr. Chan is $8650;

Mr. Lim has $450 more than what Mr. Tan has;

Mr. Chan has double the amount of money than what Mr. Tan has.

Therefore, if we assume that the amount of money Mr. Tan has as x, then...

Total money = Mr. Tan + Mr. Lim + Mr. Chan

therefore,

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As we assumed earlier, x will be equal to the amount of money Mr. Tan has and the question is asking us how much money Mr. Lim has. To find this out, you have to add $450 to the amount of money Mr. Tan has which is $2050. This is because the question also gives us that Mr. Lim has $450 more that Mr. Tan.

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