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siniylev [52]
3 years ago
5

Can somebody help me? I need helpp!!!

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
7 0

If x stands for time, y stands for total # of knee bands.

independent variable:

x

dependent variable:

y

erma4kov [3.2K]3 years ago
5 0
Independent is the x dependent is the y
independent- time
dependent- total number of knee bends
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Given r(x) = 11/ (x - 42)
julsineya [31]

For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:

g(f(x)) = x = f(g(x))

<u>The restriction is:</u>

x ≠ 4

<u>The inverse is:</u>

y = 4 + \sqrt{\frac{11}{x} }

Here our function is:

f(x) = \frac{11}{(x - 4)^2}

We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.

(x - 4)^2 = 0

x - 4 = 0

x = 4

So the only value of x that we need to remove from the domain is x = 4.

To find the inverse we try with the general form:

g(x) = a + \sqrt{\frac{b}{x} }

Evaluating this in our function we get:

g(f(x)) = a + \sqrt{\frac{b}{f(x)} }  = a + \sqrt{\frac{b*(x - 4)^2}{11 }}\\\\g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4)

Remember that the thing above must be equal to x, so we get:

g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4) = x\\\\{\frac{b}{11 }} = 1\\{\frac{b}{11 }}*4 - a = 0

From the two above equations we find:

b = 11

a = 4

Thus the inverse equation is:

y = 4 + \sqrt{\frac{11}{x} }

If you want to learn more, you can read:

brainly.com/question/10300045

3 0
2 years ago
Protractors cost 16p each how much would 26 protractors cost
AveGali [126]

Answer:

The answer is £4.16

Step-by-step explanation:

26 x 16 = 416 = £4.16

4 0
3 years ago
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Consider the quadratic equation 3x^2-6=2x. (a) What is the value of the discriminant? (b) What does the discriminant of the quad
aleksley [76]

Answer:

(a) discriminant is positive, 76

(b) the above tells you there are two real roots

Step-by-step explanation:

the discriminant is 'b² - 4ac'

3x² - 2x - 6 = 0  ∴ a = 3, b = -2, c = -6

(-2)² - 4(3)(-6) = 4 + 72

5 0
3 years ago
Can someone write this in standard form -7-3x=9x(x+2)
lbvjy [14]
-7 - 3x = 9x(x + 2)

Standard Form:
-9x^2 - 21x - 7 = 0
8 0
3 years ago
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Please help this is kinda hard for me
aleksklad [387]
The answer is:

110in²

Hope this Helps!.







8 0
3 years ago
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