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4 years ago

Please help! functions operations.

Mathematics

2 answers:

IgorC [24]4 years ago

4 0

Answer:

Step-by-step explanation:

Use the property:

$f^{-1}(f(x))=x$

This implies that;

$f^{-1}(f(3))=3$

The correct choice is the first option.

Or see it in details below:

Given

$f(x)=9x+1$

substitute x=3, to obtain;

$f(3)=9(3)+1=28$

Let $y=9x+1$

Interchange x and y.

$x=9y+1$

Solve for y.

$x-1=9y$

$\frac{x-1}{9}=y$

This implies that;

$f^{-1}(x)=\frac{x-1}{9}$

$f^{-1}(f(3))=f^{-1}(28)$

$f^{-1}(28)=\frac{28-1}{9}$

$f^{-1}(28)=\frac{27}{9}=3$

Zielflug [23.3K]4 years ago

3 0

The Answer is A. 3. :D

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Lostsunrise [7]

Answer:

C)78.5

Step-by-step explanation:

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3 years ago

PLEASE HELP!!!! Only 8 of those will match up

hodyreva [135]

CARD #1: Use the number 0 to represent the yellow marbles and 1 through 9 to represent the other marbles.

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We will follow the same logic as the previous pair. Since we used 5 numbers out of the 10 for yellow marbles, then we should find a situation wherein the ratio of the yellow marbles to the total marbles is 1/2. From the options, the situation with 16 red marbles, 32 blue marbles, 32 green marbles, and 80 yellow marbles satisfy the ratio.

CARD #3: Use the numbers 0 through 2 to represent the yellow marbles and 3 through 9 to represent the other marbles.

For this card, 3 out of the 10 numbers are allotted for the yellow marbles. Thus, the ratio of the yellow marbles to the total marbles should be 3/10. We can see that the only situation that satisfies this is the one with 60 red marbles, 120 blue marbles, 30 green marbles, and 90 yellow marbles.

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kvv77 [185]

Answer:

Part a)

Mean: 13155.6

Mode:None

Median: 12700

Step-by-step explanation:

12700 : 1

15478: 2

12675: 3

11850: 4

13075: 5

Mean :

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Mode:

All values are distinct, therefore there is no mode. A mode is value which occurs most frequently.

Median:

Arrange the values in ascending order:

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The mid value is median: 12700

Part b)

It depends upon the data. In this question the best way to predict how many miles Gina will drive in the next years is by using Median of the data.

The reason is that there is a potential outlier in the data i.e 15478. In case of outlier median tends to give better predictions.

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