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lakkis [162]
3 years ago
7

Which represents the inverse of the function f(x)=4x?

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

Answer:

h(x) = \frac{1}{4}x

Step-by-step explanation:

Suppose h is the inverse of f then

f(x) = y ⇔ h(y) = x

f(x) = y ⇔ 4x = y ⇔ x = y/4

and since x = h(y) then h(y) = y/4

then we can write :

h(x) = \frac{x}{4}

______________________

:)

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The rolls of the dice are independent, i.e. the outcome of the second die doesn't depend in any way on the outcome of the first die.

In cases like this, the probability of two events happening one after the other is the multiplication of the probabilities of the two events.

So, the probability of rolling two 6s is the multiplication of the probabilities of rolling a six with the first die, and another six with the second:

P(\text{rolling two 6s}) = P(\text{rolling a 6}) \cdot P(\text{rolling a 6}) = \dfrac{1}{6} \cdot \dfrac{1}{6}  = \dfrac{1}{36}

Similarly,

P(\text{rolling two 3s}) = P(\text{rolling a 3}) \cdot P(\text{rolling a 3}) = \dfrac{1}{6} \cdot \dfrac{1}{6}  = \dfrac{1}{36}

Actually, you can see that the probability of rolling any ordered couple is always 1/36, since the probability of rolling any number on both dice is 1/6:

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3 years ago
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blondinia [14]

Answer:

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Step-by-step explanation:

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ivanzaharov [21]

Answer:

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Step-by-step explanation:

Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:

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Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a <em>rise</em> of 4. The x went from -2 to 0, so that is a <em>run</em> of 2. "rise over run" means rise literally over run in a fraction like this:

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The more proper way to calculate slope looks like this, but it's really the same thing in the end:

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Finally, the slope of this line is:

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That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.

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1489.45 Round this number to two decimal places​
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