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VashaNatasha [74]
3 years ago
9

Which of the following is the function of f(x)?

Mathematics
2 answers:
Natasha2012 [34]3 years ago
5 0

Answer:

f(x) = 8(x-3)

Step-by-step explanation:

F^ -1 ( x) = x/8 +3

Let y = x/8+3

To find the inverse

Exchange x and y

x = y/8+3

Solve for y

x-3 = y/8+3-3

x-3 = y/8

Multiply each side by 8

8(x-3) = y/8 * 8

8(x-3) = y

The inverse of the inverse is the function so

f(x) = 8(x-3)

Mamont248 [21]3 years ago
3 0

Answer:

\boxed{f(x) = 8(x-3)}

Step-by-step explanation:

y=\frac{x}{8} +3

Switch variables.

x=\frac{y}{8} +3

Make y as subject.

Subtract 3 from both sides.

x-3=\frac{y}{8}

Multiply both sides by 8.

8(x-3)=y

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What equation represents a circle with its centre at the origin, and a radius measuring 12 units
Nastasia [14]

Answer:

The equation is x² + y² = 144.

Step-by-step explanation:

This works the same way as before.

You know that at the origin, it equals (0, 0). So, we have no need to insert values for h and k. Therefore, it will just be x² + y² = r².

R is your radius, and this is given as 12 units. So, r = 12. Therefore, r² = 144.

Your final equation is x² + y² = 144.

3 0
3 years ago
Help I say it is B but want to be sure
Marina86 [1]
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Simplify cubed 5 -10/27
MAXImum [283]

The correct answer for the given expression is 99.22.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

The expression will be solved as:-

E = ({5 -\dfrac{10}{27}})^3

E = (\dfrac{135-10}{27})^3

E =\dfrac{125}{27}^3

E = 99.22

Therefore the correct answer for the given expression is 99.22.

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4 0
2 years ago
How many real roots and how many complex roots exist for the polynomial
Volgvan

Answer:

D. 4 real roots and 0 complex roots

Step-by-step explanation:

If I assume that the function you are saying is

F(x)=x^4+x^3-5x^2+x-6

There should be up to "4 roots," there can't be more or less than 4 total solutions. First, we need to check how many sign changes are there in this function. There are 3 positive real roots. Now lets check for negative roots.

F(-x)=x^4-x^3-5x^2-x-6

There are is only 1 negative real root. Since we basically have 4 real roots, and the max is 4. There should be 4 real roots and 0 complex roots.

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djyliett [7]

Answer:

1. B

2. 2 and 1/8 cups

Step-by-step explanation:

You just had to make common denominators and then your would subtract

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3 years ago
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