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Makovka662 [10]
3 years ago
6

What is the inverse of cube root x/3 +1

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0

Answer:

{f}^{ - 1} (x) = 3 {x}^{2}  - 3

Step-by-step explanation:

We want to find the inverse of

y = \sqrt[3]{ \frac{x}{3} + 1}

We interchange x and y to get:

x= \sqrt[3]{ \frac{y}{3} + 1}

We solve for y;

{x}^{2}  =  \frac{y}{3}  + 1

Multiply through by 3

3 {x}^{2}  = y + 3

Subtract 1 from both sides:

y = 3 {x}^{2}  - 3

Therefore the inverse is

{f}^{ - 1} (x) = 3 {x}^{2}  - 3

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Shtirlitz [24]

Answer: x2= 6

FYI: The x2 is x squared

Step-by-step explanation:

Simplifying

4x2 + 7 = 31

Reorder the terms:

7 + 4x2 = 31

Solving

7 + 4x2 = 31

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 4x2 = 31 + -7

Combine like terms: 7 + -7 = 0

0 + 4x2 = 31 + -7

4x2 = 31 + -7

Combine like terms: 31 + -7 = 24

4x2 = 24

Divide each side by '4'.

x2 = 6

Simplifying

x2 = 6

3 0
3 years ago
For the statement​ below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify wh
vfiekz [6]

The question is not complete, so i have attached it.

Answer:

A) Option B: μ ≤ 19,000

B) Option C:

H0: μ ≤ 19,000

Ha: μ > 19,000

C) Option D: The null hypothesis H0: μ ≤ 19,000 is the claim

Step-by-step explanation:

A) From the question, we are told that an amusement park claims that the mean daily attendence at the park is at most 19,000 people.

Now, since it's at most 19000 people, it means that they are either 19000 or less. So the claim is;

μ ≤ 19,000 which is option B

B) Now, the claim is usually the null hypothesis. Thus, the null hypothesis is;

H0: μ ≤ 19,000

While the alternative hypothesis which states the opposite of the claim is;

Ha: μ > 19,000

So, option C is the correct answer

C) The claim is μ ≤ 19,000

Now, this also happens to be the null hypothesis.

Thus, the null hypothesis H0: μ ≤ 19,000 is the claim.

So option D is correct.

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belka [17]

Finally...

(1-sin x )(1+sin x )

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So let's us it to see what we find.

(1-sin(x)) (1+sin(x) that's equal 1-sin²(x)

We knew that 1-sin²(x) = cos²(x)

Answer : Cos²(x)

wow I did it guys :))

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5 0
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Answer:

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