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belka [17]
3 years ago
6

What is the inverse of f(x)=3x-1

Mathematics
1 answer:
tatiyna3 years ago
3 0

Answer:

$ \frac{(y + 1)}{3} $

Step-by-step explanation:

Call $ f(x) = y = 3x - 1 $

Now, $ y + 1 = 3x $

$ \implies \frac{y + 1}{3} = x $

This is the inverse of the given function.

You can cross - verify it by substituting a point, say, $ (1,3) $

We see that the point satisfies both the equations.

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Which diagram shows parallel lines cut by a transversal?
Arada [10]
Only the third model shows parallel lines cut by a transversal. 

We can solve this problem by using some properties that parallel lines cut by a transversal have. First of all, corresponding angles are congruent, and since the angles in figure 1 are corresponding but not congruent, that means that figure one is out. 

In addition, in figure two, alternate exterior and interior angles of parallel lines intersected by a transversal are congruent, so since they are not in the picture, that means that this figure is also out. 

Figure three is correct because since those are same side interior angles, they need to be supplementary for those to be two parallel lines intersected by a transversal. Since they do, in fact, add up to 180°, that means that the answer is figure three. 
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3 years ago
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Firlakuza [10]
The correct answer to this problem is D.
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3 years ago
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Deposits into a bank account are represented by numbers. Withdrawals from the account are represented by negative numbers. Which
aleksley [76]

Answer:

The answer is (-$200) to the left

Step-by-step explanation:

Solution

It is assumed that when a number is positive,  it is a distance to the right, also when a number is negative, it is a distance to the left. If a positive number is referred to as  deposit to a bank account, then a negative number is a withdrawal from that bank account.

So, If a positive number means addition, then a negative number would also mean subtraction.

The amount that represents a withdrawal of less than $200 would be (-$200)

4 0
3 years ago
How many different 3-digit PIN codes are there that only include the digits 7, 4, 3 and 2?
KengaRu [80]

Answer:

64

Step-by-step explanation:

We can use the product rule of counting to answer this:

There are 4 possibilities for the 1st digit
There are 4 possibilities for the 2nd digit
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So we use the product rule of counting to give us:

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4 years ago
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