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4 years ago

A function, F(x), is shown below.

Mathematics

1 answer:

Maksim231197 [3]4 years ago

7 0

Answer:

range of f(x) = [-4, -2) ∪ [2, 8)

a+b+c+d = -4

Step-by-step explanation:

The graph is attached. The range is the vertical extent of the function. It is defined at f(0) = -4 and f(2) = 2.

The limits f(2-) and f(4-) are -2 and 8, respectively, so the graph has open circles there. These are the ends of the two half-open intervals that make up the range of the function.

The portion of the graph in the domain [4, 7) is included in the range [2, 8), so no special treatment is needed for that piece of the function.

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katrin [286]

firts lets see how many dollars she has

192 divided by 4 is 48 so she currently has 48 dollars.

and she puts in 2 quarters daily

so lets see how much she need to earn

75 - 48 is 27

lets see how many quarters she need to have 27 dollars 27 x 4 is 180

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3 years ago

Solve 3(x + 2) > x.

MaRussiya [10]

Answer:

x > - 3

Step-by-step explanation:

Given

3(x + 2) > x ← distribute left side

3x + 6 > x ( subtract x from both sides )

2x + 6 > 0 ( subtract 6 from both sides )

2x > - 6 ( divide both sides by 2 )

x > - 3

3 0

4 years ago

Read 2 more answers

Given the equation square root of quantity 3x plus 6 end quantity equals 3, solve for x and identify if it is an extraneous solu

Novay_Z [31]

Solution is not extraneous, x=1 is correct answer

Step-by-step explanation:

We need to solve the equation $\sqrt{3x+6}=3$ and find value of x.

Solving:

$\sqrt{3x+6}=3\\Taking\,\,square\,\,on\,\,both\,\,sides\\(\sqrt{3x+6})^2=(3)^2\\3x+6=9\\Simplifying:\\3x=9-6\\3x=3\\x=3/3\\x=1$

So. Value of x = 1

Now checking if solution is extraneous or not

Solution is extraneous if value of x doesn't satisfy the given equation.

Checking: putting x=1 in the equation $\sqrt{3x+6}=3$

$\sqrt{3x+6}=3\\\sqrt{3(1)+6}=3\\\sqrt{9}=3\\ 3=3$

Since x=1, verifies the given equation so, x=1 is not extraneous solution

Solution is not extraneous, x=1 is correct answer

Keywords: Solving equations and finding extraneous roots

Learn more about Solving equations and finding extraneous roots at:

#learnwithBrainly

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3 years ago

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Deffense [45]

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4 years ago

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navik [9.2K]

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4 years ago