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3 years ago

These tables of values represent continuous functions. In which table do the values represent an exponential function?

Mathematics

1 answer:

denis-greek [22]3 years ago

7 0

Answer:

Option C

Step-by-step explanation:

In this case, an exponential function is a function that has common ratio whereas it is called a linear function if it has common difference.

Option A:

Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option A is is not correct.

Option B:

Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option B is not correct.

In option C.

Since the given values of y in the table have a common ratio, it is said to be an exponential function.

Option C is correct.

In option D.

Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option D is incorrect.

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For the funtion f(x)= (x+7)^5, Find f^-1 (x)

quester [9]

Answer:

The inverse of function $f(x)= (x+7)^5$ is $\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}$

Option A is correct option.

Step-by-step explanation:

For the function $f(x)= (x+7)^5$ , Find $f^{-1} (x)$

For finding inverse of x,

First let:

$y=(x+7)^5$

Now replace x with y and y with x

$x=(y+7)^5$

Now, solve for y

Taking 5th square root on both sides

$\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7$

Now, replace y with $f^{-1} (x)$

$f^{-1} (x)=\sqrt[5]{x}+7$

So, the inverse of function $f(x)= (x+7)^5$ is $\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}$

Option A is correct option.

6 0

3 years ago

Answer with proper units too!

EastWind [94]

Answer:

Step-by-step explanation:

1. Area of a parallelogram = base * height

area = 10 * 4 = 40 in squared

perimeter = 2(a + b)

perimeter = 2 * (5 + 10) = 2 * 15 = 30in

2. Area of triangle = 1/2 * base * height

area = 1/2 * 21 * 8 = 84 cm squared

perimeter = sum of outer perimeters

perimeter= 10cm + 17cm + 21cm = 48cm

3. area of trapezium = 1/2 * (a+b) * h

area = 1/2 * (6+12) * 4 = 36ft squared

perimeter = sum of outer perimeters

perimeter = 5ft + 6ft + 12ft + 5ft = 28ft

3 0

3 years ago

Proof that ur lying.

ozzi

Answer:

HELLOOOO

Step-by-step explanation:

JUST WANTED TO SAY THAT BTS IS THE BEST IN KPOP :)

5 0

2 years ago

Read 2 more answers

If 20 is added to the data set below, which statement will be true?<br> 50, 55, 55, 60, 62

ANTONII [103]

Answer:

the answer will be 50 I think

8 0

3 years ago

Why is it important to learn statistics?<br><br>how can you apply statistics in your everyday life?

Setler [38]

Answer:

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3 years ago