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Mekhanik [1.2K]
3 years ago
9

Determine whether each question is biased. explain your answer. 2.A beverage company conducts a survey in the lobby of a health

club to determine people's favorite beverage.
Mathematics
1 answer:
zheka24 [161]3 years ago
4 0
2. a beverage company conducts a survey in the lobby of a health club to determine people's favorite beverage.

This question is biased, because certain drinks would be ruled out for being "unhealthy", such as soda, beer, etc. This means that healthier drinks, such as mineral water, electrolyte water, etc, would get more votes.


hope this helps
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If y= 3x + 6, what is the minimum value of (x^3)(y)?
Rainbow [258]

Answer:

Given the statement: if y =3x+6.

Find the minimum value of (x^3)(y)

Let f(x) = (x^3)(y)

Substitute the value of y ;

f(x)=(x^3)(3x+6)

Distribute the terms;

f(x)= 3x^4 + 6x^3

The derivative value of f(x) with respect to x.

\frac{df}{dx} =\frac{d}{dx}(3x^4+6x^3)

Using \frac{d}{dx}(x^n) = nx^{n-1}

we have;

\frac{df}{dx} =(12x^3+18x^2)

Set \frac{df}{dx} = 0

then;

(12x^3+18x^2) =0

6x^2(2x + 3) = 0

By zero product property;

6x^2=0   and 2x + 3 = 0

⇒ x=0 and x = -\frac{3}{2} = -1.5

then;

at x = 0

f(0) = 0

and  

x = -1.5

f(-1.5) = 3(-1.5)^4 + 6(-1.5)^3 = 15.1875-20.25 = -5.0625


Hence the minimum value of (x^3)(y) is, -5.0625






3 0
3 years ago
The sum of a number and 3 times its reciprocal is -4.Find the number
Butoxors [25]

Answer:

x = -1 or x = -3

Step-by-step explanation:

x + 3/x = -4

x² + 3 = -4x

x² + 4x + 3 = 0

(x + 1) (x + 3) = 0

x = -1 or x = -3

check: (-1) + (3/-1) = -1 - 3 = -4

           (-3) + (3/(-3)) = -3 -1 = 14

6 0
3 years ago
How many solutions does the following equation have? 5 x + 8 − 7 x = − 4 x + 1 5x+8−7x=−4x+15, x, plus, 8, minus, 7, x, equals,
UNO [17]

Answer: There is one valid solution to the equation 5x + 8 - 7x = -4x + 1, x = -3.5.

Step-by-step explanation:

8 0
2 years ago
HELP ME WITH MATHHH!!!
tatiyna

Answer:

A

Step-by-step explanation:

3 0
3 years ago
I need help with this question.
ivann1987 [24]

9514 1404 393

Answer:

  a8 = 4

Step-by-step explanation:

Put 8 where n is and do the arithmetic.

  a8 = (1/2)(8) = 8/2 = 4

The 8th term of this arithmetic sequence is 4.

4 0
2 years ago
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