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creativ13 [48]
3 years ago
10

choose a non-piecewise function f(x) such that it’s Domain is all x≤5. Find the values of your function for x={−2,−1,0,1,2,3,4,5

} then graph the function

Mathematics
1 answer:
iren2701 [21]3 years ago
3 0

Answer:

f(x) = √(5-x)

Step-by-step explanation:

The square root is only defined for non-negative arguments. Here, we give it an argument that is only non-negative for x ≤ 5, thus satisfying the requirement for your function. The attached shows a table of values and a graph of it.

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The sum of two integers is 121. The larger integer is 7 more than twice the smaller integer. Find the two integers.
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X + (2x + 7) = 121 : Write the expression.
3x + 7 = 121 : Combine like terms.
3x + 7 - 7 = 121 - 7 : Isolate x.
3x = 114 : Combined like terms.
3x / 3 = 114 / 3 : Find the value of x.
x = 38 : This is the smaller integer.
(2x + 7) = (2(38) + 7) = 76 + 7 = 83. : Find the value of the larger number by plugging in the value of x to the larger number's quantity.
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3 years ago
Let f be defined as shown.<br> What is f^-1(1)?
FinnZ [79.3K]

Answer:

From the above image when the input of f(x) is 9 the output is 1

So f^-1(1) is just the reverse when the input is 1 the output is 9

So f^-1(1) = 9

Hope this helps

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3 years ago
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 6 feet
Nikolay [14]
It will be 14 we calculated
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3 years ago
P(A)* P(B)≠ p(AnB)<br><br> Why does it contain a not equal to sign
RoseWind [281]

Answer:

P(A|D) and P(D|A) from the table above are not equal because P(A|D) =  and P(D|A) =

Step-by-step explanation:

Conditional probability is the probability of one event occurring  with some relationship to one or more other events

.

P(A|D) is called the "Conditional Probability" of A given D

P(D|A) is called the "Conditional Probability" of D given A

The formula for conditional probability of P(A|D) = P(D∩A)/P(D)

The formula for conditional probability of P(D|A) = P(A∩D)/P(A)

The table

              ↓         ↓       ↓

           :  C     :   D    : Total

→ A      :  6     :    2    :   8

→ B      :  1      :    8    :   9

→Total :  7     :    10  :  17

∵ P(A|D) = P(D∩A)/P(D)

∵ P(D∩A) = 2 ⇒ the common of D and A

- P(D) means total of column D

∵ P(D) = 10

∴ P(A|D) =

∵ P(D|A) = P(A∩D)/P(A)

∵ P(A∩D) = 2 ⇒ the common of A and D

- P(A) means total of row A

∵ P(A) = 8

∴ P(D|A) =

∵ P(A|D) =

∵ P(D|A) =

∵   ≠  

∴ P(A|D) and P(D|A) from the table above are not equal

Step-by-step explanation:

4 0
2 years ago
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