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kap26 [50]
3 years ago
10

List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

value of x is: x=\frac{-31}{12}

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where f(x)=(\frac{1}{2})^2-3

and g(x) = 3x + 5

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}

So, value of x is: x=\frac{-31}{12}

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

  • brainly.com/question/10772025
  • brainly.com/question/4939434
  • brainly.com/question/2723982
  • brainly.com/question/1774827

#learnwithBrainly

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Answer On Edg. 2020

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What does ‘b” represent in y=mx+b
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Step-by-step explanation:

5 0
2 years ago
The expression √93 is in between two whole numbers. Write the two numbers with a comma and a space in between
nalin [4]

Answer:

9, 10

Step-by-step explanation:

square root of √93 is 9.64.

Thus, we see that the number 9.64 is greater than  but less than 10.

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-∞ _____________7___8___9__9.64___10___11_______+∞

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5 0
2 years ago
I need help with this
andrey2020 [161]
18a:16 18b:32 % means out of 100
3 0
3 years ago
Jonah drives from his car to and from work. The total length of the trip to and from work is 19.2 miles. In August, Jonah worked
natita [175]
ANSWER

The total length of the trip to and from work in August is

403.2 \: miles

EXPLANATION

The total length of the trip to and from work is

19.2 \: miles

If Jonah worked 21 days in August,

Then, the total length of the trip to and from work is
= 21 \times 19.2 \: miles

Change the decimal to fraction and multiply,

= 21 \times \frac{192}{10} miles

= \frac{21 \times 192}{10}

= \frac{4032}{10} miles

Convert back to decimal

= 403.2 \: miles
6 0
3 years ago
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