MATHEMATICS MIDDLE SCHOOL

What is the inverse function of F(x) = -3/2x - 8

Answers

Answer 1

Answer:

Answer:

f-1(x)=- $(2)/(3)$ x- $(16)/(3)$

Step-by-step explanation:

First, switch f(x) to the variable "y".

y=- $(3)/(2)$ x-8

Next, swap "x" and "y" with each other.

x=- $(3)/(2)$ y-8

Next, lets move the denominator of 2 to the other side by multiplying both sides by 2. Your result will be...

2x=-3y-16

Now move -16 to the left side.

16+2x=-3y

To get "y" by itself, lets divide each side by -3. Our result is...

y=- $(2)/(3)$ x- $(16)/(3)$

To finish the problem off, replace y with f-1(x) and your complete answer will be...

f-1(x)=- $(2)/(3)$ x- $(16)/(3)$

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What is 0.16, 16 repeating as a simplified fraction?

Answers

Answer:

Step-by-step explanation:

x = 0.1616.....

100x = 16.1616.......

100x - x = (16.16....) - (0.1616.....)

99x = 16

x = 16/99

Answer:

16/99

Step-by-step explanation:

Since the repeating pattern has 2 digits, use 10^2 which is 100.

Let x = 0.161616...

Then 100x = 16.161616...

100x = 16.161616...

- x = 0.161616...

----------------------------

99x = 16

x = 16/99

Answer: 0.161616... = 16/99

how the position of the decimal point change in a quotient as you divide a number by 10, 100, and 1,000

Answers

The decimal moves forward as many places as there are zeros when you divide a number by 10, or a multiple of 10.

7 divided by 10= .7
7 divided by 100= .07
7 divided by 1000= .007

Can someone help me find the slope shown on this line please

Answers

Answer:

6/2 or 3 would be your slope

100 to the 6th power?

Answers

The required 100 to the 6th power is equal to 1,000,000,000,000,000,000.

To calculate 100 to the 6th power, follow these steps:

Step 1: Start with the base, which is 100.

Step 2: Multiply the base by itself (100 * 100 = 10,000) to get the result of the base raised to the power of 2.

Step 3: Multiply the result from the previous step (10,000) by the base (100,000,000) to get the result of the base raised to the power of 3.

Step 4: Repeat this process until you reach the desired power of 6. Multiply the result from the previous step (100,000,000) by the base (10,000,000,000,000).

Step 5: Continuing this pattern, multiply the result from the previous step (10,000,000,000,000) by the base (1,000,000,000,000,000,000) to get the result of the base raised to the power of 6.

Step 6: Simplify the final result.

So, 100 to the 6th power is equal to 1,000,000,000,000,000,000.

Learn more about power here:

brainly.com/question/29367806

#SPJ6

100^6

Multiply 100 by itself 6 times

100*100*100*100*100*100 = 1000000000000

(no links plz) need help!