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Paraphin [41]
3 years ago
8

The graphs of ​ f(x)=2x+4 ​ and ​ g(x)=10−4x ​ intersect at (1, 6) . What is the solution of the equation 2x+4=10−4x ?

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0

Answer:

x=1 is the solution of the equation 2x+4=10−4x

Step-by-step explanation:

The graphs of ​ f(x)=2x+4 ​ and ​ g(x)=10−4x ​ intersect at (1, 6)

2x +4 = 10 - 4x

We need to solve for x by combining like terms

Add 4x on both sides

6x + 4= 10

Now subtract 4 on both sides

6x = 6

divide both sides by 6

x= 1

x=1 is the solution of the equation 2x+4=10−4x


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Rus_ich [418]

It takes 3 years for the balance of account to be $ 221

<em><u>Solution:</u></em>

From given information,

Principal = $ 200

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In simple Interest,

Simple interest = amount earned - principal

Simple interest = 221 - 200 = 21

Thus simple interest earned is $ 21

<em><u>The formula for simple interest is given as:</u></em>

simple\ interest = \frac{ p \times n \times r}{100}

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p is the principal

n is the number of years

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Substituting the given values in formula,

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Thus it takes 3 years for the balance of account to be $ 221

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3 years ago
Mrs. Hargrove owes the doctor $34.56. she gives the clerk $50.00 What is the total amount of change Mrs.Hargrove should receive
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2 years ago
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2 years ago
At a baseball game, 55% of people attending were supporting the home team, while 45% were supporting the visiting team. If 2706
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