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professor190 [17]
2 years ago
14

The manager of a popular restaurant wants to know what types of vegetarian dishes people prefer to eat. Which sample would provi

de the most accurate data?
10 friends at a cookout
the first 30 people leaving the local hamburger stand
a random group of 40 people on the street
a random group of 5 people at a grocery store
Mathematics
2 answers:
Tanya [424]2 years ago
8 0
More than 10 friends at a cook out
andrey2020 [161]2 years ago
3 0

Answer:

C

Step-by-step explanation:

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What is true about the solution of x^2/2x-6=9/6x-18?
pogonyaev

Answer:

  • x = ±√3, and they are actual solutions
  • x = 3, but it is an extraneous solution

Step-by-step explanation:

The method often recommended for solving an equation of this sort is to multiply by the product of the denominators, then solve the resulting polynomial equation. When you do that, you get ...

... x^2(6x -18) = (2x -6)(9)

... 6x^2(x -3) -18(x -3) = 0

...6(x -3)(x^2 -3) = 0

... x = 3, x = ±√3

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Alternatively, you can subtract the right side of the equation and collect terms to get ...

... x^2/(2(x -3)) - 9/(6(x -3)) = 0

... (1/2)(x^2 -3)/(x -3) = 0

Here, the solution will be values of x that make the numerator zero:

... x = ±√3

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So, the actual solutions are x = ±3, and x = 3 is an extraneous solution. The value x=3 is actually excluded from the domain of the original equation, because the equation is undefined at that point.

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<em>Comment on the graph</em>

For the graph, we have rewritten the equation so it is of the form f(x)=0. The graphing program is able to highlight zero crossings, so this is a convenient form. When the equation is multiplied as described above, the resulting cubic has an extra zero-crossing at x=3 (blue curve). This is the extraneous solution.

7 0
3 years ago
Read 2 more answers
1.______+ 0.14 +0.23 = 0.9<br>2.______-0.0369=0.1246​
butalik [34]

Answer:

1) 0.53

2) 0.1615

Step-by-step explanation:

1) ______ + 0.37 = 0.9

______ = 0.9 - 0.37 = 0.53

2)______ - 0.0369 = 0.1246

______ = 0.1246 + 0.0369 = 0.1615

4 0
3 years ago
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Identify the number of terms in the expression. Type the answer in the space provided.
nadya68 [22]

Answer:

Step-by-step explanation:

Terms are separated from one another by + and/or - signs.  In this case neither appears, so the given expression constitutes a single term.

3 0
3 years ago
If you could switch two movie characters, what switch would lead to the weirdest movies?​
Leviafan [203]

Answer:

Switching the Beast from Beauty and the Beast with Ariel From the Little Mermaid.

Step-by-step explanation:

Imagine the Beast being a merman o-o

6 0
3 years ago
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A rectangle has an area of 96 sq ft if the width of the yard is 4 ft less than the length, what is the perimeter in ft of the ya
Veronika [31]
The area of a rectangle is obtained through the equation,
  
                                  A = L x W 

The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,
   
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The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,
 
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Substituting the values of L and W
 
                                           P = 2 x ( 12 ft + 8 ft) = 40 ft

Therefore, the perimeter of the yard is 40 ft. 




6 0
3 years ago
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