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krek1111 [17]
3 years ago
15

Which of the following is the inverse of y=6^x? y=log_(6)x, y=log_(x)6, y=log_((1)/(6))x, y=log_(6)6x

Mathematics
2 answers:
Brums [2.3K]3 years ago
7 0
The answer is A, y=log_6 x.
kolezko [41]3 years ago
4 0

Answer:

y=log_(6)x

Step-by-step explanation:

From the definition of logarithm:

x = log_b y <---> y=b^x

In our case, we have

y=6^x

which means that b=6, therefore the inverse function is

x=log_6 y

which can be rewritten by switching x and y:

y=log_6 x

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Carlos ate at the same restaurant four times. Each time he ordered a salad and left 5$ tip. She spent a total of $54 Right and s
mars1129 [50]

Answer:

4k + 20 = 54 is the required equation. ( k = cost of each salad)

The cost of each salad is $8.5.

Step-by-step explanation:

The total amount paid for bill = $54

The tip left each time $5

Number of times the restaurant visited = 4

Now, let k be the total amount of one salad.

Also, total tip paid in 4 visits =  4 x $5 = 20$

So, now according to the question

4k + $20 = $54

or, 4k = 54 - 20 = 34

⇒ 4k = 34

or, k = 34/4 = 8.5

⇒ k= $8.5

So, the cost of each salad is $8.5.

7 0
3 years ago
Triangle ABC is translated to triangle A'B'C' by the transformation (x,y)→(x+2,y−5) What will be the corrdinates of A'? A (4, -4
antiseptic1488 [7]

Given that: Triangle ABC is translated to triangle A'B'C' by the transformation

(x,y)\to (x+2,y-5)

The points are A(4, -4), B(2, -5), C(0, 6), D(-2, 5).

To find: Coordinates of A'.

The coordinates of A are (4,-4).

Using the given rule of transformation, we get

A(4,-4)\to A'(4+2,-4-5)

On simplification, we get

A(4,-4)\to A'(6,-9)

Therefore, the coordinates of point A' are (6,-9).

7 0
4 years ago
The number of vehicles passing through a bank drive -up line during each 15-minute period was recorded. The results are shown be
tangare [24]

Answer:

Step-by-step explanation:

I think the median you are asking is the middle value,

because there is a total of 20 vehicles,  there are two middle number: 31 and 31.

To solve this:

you first plus these two numbers together, you will get 62.

then divide them by 2, then you will get the middle number.

the middle number will be 31. ( actually because theese two number are the same, you do not really need to plus them then divide by 2, you could just answer the question 31, but because when you do other question and has the same situation but not the same number, (suppose you got 20 and 21) Then you need to do this question like I said above)

I wish this could help you.

8 0
3 years ago
What is the slope of the line that passes through the points (3, 5) and (-1, 5)
Marianna [84]

Answer:

0

Step-by-step explanation:

solve with y2-y1 / x2-x1

5-5 is 0

-1-3 is -4

0/4 is 0

slope is 0

5 0
3 years ago
Given a population that meets the conditions of a normal distribution, samples taken at random will also be normally distributed
Phantasy [73]
This statement is TRUE.
5 0
3 years ago
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