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choli [55]
3 years ago
14

Which of the following relations represent a function? A. {(-1,-1),(0,0),(2,2),(5,5)}. B. None of these. C. {(0,3),(0,-3),(-3,0)

,(3,0). D. {(-2,4),(-1,0),(-2,0),(2,6)
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

Answer:

  A

Step-by-step explanation:

In a list of ordered pairs, a relation that is a function will not have any repeated x-values.

A -- a function (x-values are {-1, 0, 2, 5} with no repeats)

B -- irrelevant

C -- not a function (x-values are {0, 0, -3, 3} with 0 being repeated)

D -- not a function (x-values are {-2, -1, -2, 2} with -2 being repeated)

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Expand and simplify 4 ( y + 6 ) − 2 ( y − 2 )
elena-14-01-66 [18.8K]

[ Answer ]

\boxed{2y \ + \ 28}

[ Explanation ]

4(y + 6) - 2(y - 2)

[Expand] 4(y + 6): 4y + 24

4y + 24 - 2(y - 2)

[Expand] -2(y - 2): -2y + 4

4y + 24 - 2y + 4

[Simplify] 4y + 24 - 2y + 4: 2y + 28

= 2y + 28

\boxed{[ \ Eclipsed \ ]}

7 0
3 years ago
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Un curso esta formado por 12 mujeres y 15 hombres ¿cual es la probabilidad de que las personas en el cargo de presidente y visep
riadik2000 [5.3K]

Answer:

P = (12/27)*(11/26) = 0.188

Step-by-step explanation:

Si todos tienen la misma probabilidad de estar en cargo de presidente y vicepresidente, entonces:

La probabilidad de que una mujer sea presidente, es igual al cociente entre el número de mujeres y el número total de personas:

p = 12/27

Ahora queremos calcular lo mismo para vicepresidente, y el cálculo es exactamente igual, con la diferencia de que en esta situación, ya hay una mujer en el cargo de presidente, entonces hay 11 mujeres que pueden ser vicepresidente, y un total de: (11 + 15 = 26 personas)

Entonces ahora la probabilidad es:

q = 11/26

La probabilidad conjunta (es decir, la probabilidad de que ambos eventos pasen) es igual al producto de las probabilidades individuales.

P = (12/27)*(11/26) = 0.188

4 0
2 years ago
Find an equation for the inverse for each of the following.
IgorLugansk [536]

Answer:

  • <em>To solve these first swap x and y, solve for y and name it inverse function</em>

3. <u>y = -8x + 2</u>

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  • y = -x/8 + 2/8
  • y = -(18)x + 1/4

f⁻¹(x) = -(18)x + 1/4

-----------------------------------------

4.<u> y = (2/3)x - 5</u>

  • x = (2/3)y - 5
  • (2/3)y = x + 5
  • y = (3/2)x + (3/2)5
  • y = 1.5x + 7.5

f⁻¹(x) = 1.5x + 7.5

-----------------------------------------

5. <u>f(x) = 2x² - 6</u>

  • x = 2y² - 6
  • 2y² = x + 6
  • y² = 1/2x + 3
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f⁻¹(x) = \sqrt{1/2x + 3}

-----------------------------------------

6. <u>y = (x - 3)²</u>

  • x = (y - 3)²
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f⁻¹(x) = 3 +  \sqrt{x}

4 0
3 years ago
At 7pm last night ,the temperature was 10 degrees Fahrenheit. At 7am the next morning the temperature was negative 2. By how muc
stepladder [879]
The tempature decreased by 12, because 10-12= -2
6 0
3 years ago
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Evaluate the expression when a=9.<br> 2a2
guapka [62]

Answer:

36

Step-by-step explanation:

Substitute the A for the 9, since A=9, and multiply the numbers

5 0
3 years ago
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