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anastassius [24]
2 years ago
15

Which of the following valued of x is not in the domain of f(x) = x+3 / x-7

Mathematics
1 answer:
Rudiy272 years ago
8 0

Answer:

x = 7 is not there in the domain of the function.

Step-by-step explanation:

The given function is f(x) = \frac{x+3}{x-7}

We have to find out which all values are not there in the domain of the function.For the function to become not defined the function should have infinite value and this happens when the denominator becomes zero.

In the given function for the denominator to become zero , the value of x must be 7.

For all other values of x , the function is defined.

Hence , the domain of x is all real numbers except 7.

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5x+y=-10 4x-7y=-8 Substition Method (Show it step by step please!)
Fynjy0 [20]

\left\{\begin{array}{ccc}5x+y=-10&|\text{subtract 5x from both sides}\\4x-7y=-8\end{array}\right\\\left\{\begin{array}{ccc}y=-5x-10&|\text{substitute to the second equation}\\4x-7y=-8\end{array}\right\\\\4x-7(-5x-10)=-8\qquad\text{use distributive property}\\\\4x+(-7)(-5x)+(-7)(-10)=-8\\\\4x+35x+70=-8\qquad\text{subtract 70 from both sides}\\\\39x=-78\qquad\text{divide both sides by 39}\\\\\boxed{x=-2}\\\\\text{Put the value of x to the first equation}\\\\y=-5(-2)-10\\\\y=10-10\\\\\boxed{y=0}

Answer:\ \boxed{x=-2\ and\ y=0}

3 0
3 years ago
Read 2 more answers
Ethan repairs household appliances like dishwashers and refrigerators. For each visit, he charges $25 plus $20 per hour of work.
dalvyx [7]

Answer:the independent variable is x, the number of hours of work.

The dependent variable is y, the total charge for x hours of work.

Step-by-step explanation:

A change in the value of the independent variable causes a corresponding change in the value of in dependent variable. Thus, the dependent variable is is output while the independent variable is the input

For each visit, he charges $25 plus $20 per hour of work. The linear expression that represents the total amount of money that Ethan earns per visit is y = 25 + 20x.

Since the total amount charged, y depends on the number of hours of work, x, it means that the dependent variable is y and the independent variable is x

4 0
2 years ago
Which of the following statements is always true?
Bezzdna [24]

Answer:

B

Step-by-step explanation:

hope it helps <3333

You look beautiful

7 0
2 years ago
How do mental math strategies help you solve problems such as the ones above?
Luden [163]

With mental math, you can perform equations quickly and efficiently. They also help you to develop your own strategies and solve more complex math equations. Hope this helps;)


7 0
3 years ago
I need help with this
gulaghasi [49]
The answer to the question is A
8 0
2 years ago
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