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3 years ago

Please help asap Inverse of a Function

Mathematics

1 answer:

sergey [27]3 years ago

7 0

Answer:

$f^{-1} (x)=-\frac{1}{6}x+1$

Step-by-step explanation:

To find the inverse of a function in equation form, first I recommend changing the f(x) to a y:

y = -6x + 6

Next step is to switch the x and y:

x = -6y + 6

Now solve for the new y:

x - 6 = -6y and

$-\frac{1}{6}x + 1=y$

You can put the inverse notation back in for y like I did in the answer section above.

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If a store had 330 video games, and 47% of the games were for Xbox, and 53% were for ps4, then how many xbox and ps4 games are i

Bingel [31]

Answer:

The number of games for Xbox is about 155

The number of games for PS4 is about 175

Step-by-step explanation:

Let us find the numbers of games for Xbox and for PS4 game

∵ There are 330 video games in the store

∵ 47% of them were for Xbox

- Multiply 47% by 330

∴ The number of games for Xbox = 47% × 330

∵ 47% = $\frac{47}{100}$

∴ The number of games for Xbox = $\frac{47}{100}$ × 330

∴ The number of games for Xbox = 155. 1

∴ The number of games for Xbox ≅ 155

∵ 53% of them were for PS4

- Multiply 53% by 330

∴ The number of games for PS4 = 53% × 330

∵ 53% = $\frac{53}{100}$

∴ The number of games for PS4 = $\frac{53}{100}$ × 330

∴ The number of games for PS4 = 174.9

∴ The number of games for PS4 ≅ 175

4 0

3 years ago

A computer can sort x objects in t seconds, as modeled by the function

r-ruslan [8.4K]

Answer:

36 objects

Step-by-step explanation:

You want the value of x when t=9, so you're solving ...

9 = 0.007x^2 +0.003x

9 = 0.007(x^2 + 3/7x)

From here, we observe that an approximation is probably sufficient.

9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2

x ≈ 3/√.007 ≈ 35.9 ≈ 36

We can check:

.007(36)(36 3/7) = 9.18

.007(35)(35 3/7) = 8.68

To keep the computer busy for 9 seconds, it needs to sort 36 objects.

6 0

3 years ago

Percy is filling a cylindrical tank with water. The tank is

Archy [21]

Answer:

Step-by-step explanation:

78x9=702

702/6=117 minutes.

7 0

3 years ago

Read 2 more answers

What is 8.25 as a fraction in simplest form?

vekshin1

8 is a whole number, so this will be the whole number part of our mixed number.

0.25 is a decimal, where 25 is in the HUNDREDths place, so we write 25 as a fraction over 100.

$\sf\dfrac{25}{100}$

Simplify by dividing 25 to the numerator and denominator.

$\sf25\div25=1$
$\sf100\div25=4$

So our fraction is $\sf8\dfrac{1}{4}$

0.55 is a decimal, where 55 is in the HUNDREDths place, so we write 55 as a fraction over 100.

$\sf\dfrac{55}{100}$

Simplify by dividing 5 to the numerator and denominator.

$\sf55\div5=11$
$\sf100\div5=20$

So our fraction is $\sf\dfrac{11}{20}$

$\sf\dfrac{5}{8}$

To convert this to a decimal, just divide 5 / 8

$\sf5\div8=0.625$

3 0

3 years ago

Read 2 more answers

Let f(x)=x^2+5x−8. What is the average rate of change from x = 2 to x = 6?

Savatey [412]

And that is how you get your answer

3 0

3 years ago