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kramer
3 years ago
12

Find the domain: y= 6+9x 6− x−1

Mathematics
1 answer:
inna [77]3 years ago
3 0

Answer:

Domain = {All real values of x EXCEPT x = -5 and x = 7}

Step-by-step explanation:

This is a rational function given as y=\frac{6+9x}{6-|x-1|}y=

6−∣x−1∣

6+9x

The domain is the set of all real value of x for which the function is defined.

For rational functions, we need to find which value of x makes the denominator equal to 0. We need to exclude those values from the domain.

Now

6 - |x-1| = 0

|x-1| = 6

x- 1 = 6

or

-(x-1) = 6

x = 6+1 = 7

and

-x+1=6

x = 1-6 = -5

So, the x values of -5 and 7 makes this function undefined. So the domain is the set of all real numbers except x = -5 and x = 7

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Mr. Martin's math test, which is worth 100 points, has 35
AlekseyPX

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Further explanation:

The given system is a system of linear equations in two variables.

We will use the subsitution method to solve the system

Given equations are:

x+y=35\\5x+2y=100

From equation no 1:

x+y=35\\x=35-y

Putting x=35-y in second equation

5x+2y=100\\5(35-y)+2y=100\\175-5y+2y=100\\-3y=100-175\\-3y=-75\\\frac{-3y}{-3}=\frac{-75}{-3}\\y=25\\Putting y=25 in first equation\\x+25=35\\x= 35-25\\x=10

Hence,

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Keywords: Linear Equations, Substitution method

Learn more about substitution method at:

  • brainly.com/question/11566221
  • brainly.com/question/13063819

#LearnwithBrainly

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3 years ago
Read 2 more answers
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Marysya12 [62]
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3 years ago
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Marizza181 [45]
I don’t under stand the question. What do you want me to answer
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jeka94

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Step-by-step explanation:

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8 0
3 years ago
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