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3 years ago

If f(x)=5(x+3)^3-2. What does f^-1(x) equal?

Mathematics

1 answer:

I am Lyosha [343]3 years ago

8 0

9514 1404 393

Answer:

C ∛((x+2)/5) -3

Step-by-step explanation:

To find the inverse function, solve for y:

x = f(y)

x = 5(y +3)³ -2 . . . . . . substitute f(y)

x +2 = 5(y +3)³ . . . . . add 2 -- already you know C is the answer

(x +2)/5 = (y +3)³ . . . . divide by 5

∛((x +2)/5) = y +3 . . . . take the cube root

∛((x +2)/5) -3 = y . . . . subtract 3

f^-1(x) = ∛((x +2)/5) -3 . . . . matches expression C

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Answer:

Step-by-step explanation:

Since Mike took 6 hours and he takes 1 hour less than Homer to do complete something alone then you add 1 to 6 and get 7. Homer would’ve took 6 hours.

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3 years ago

Find the value of c 3-2(1 + 6c) = -35

Alex777 [14]

Answer:

C = 3

Step-by-step explanation:

By using the distributive property, we multiply 1 and 6c inside the brackets by -2. This gives us 3 -2 - 12c = -35. Next, we subtract 2 from 3, giving us 1 - 12c = -35. We will now subtract 1 from both sides, leaving us with -12c = -36, or simply 12c = 36. Finally, we divide by 12, giving us C = 3. I hope this helps!

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2 years ago

Andrew has a moneybox in which he saves all of his R5,R2 and R1 coins.The coins are in the ratio 2:5:7 respectively.If he has a

Pepsi [2]

Andrew has saved 36 number of R5 coins, 90 number of R2 coins and 126 number of R1 coins.

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

An equation is an expression that shows the relationship between two or more variables and numbers.

The coins are in the ratio 2:5:7 respectively. If he has a R90 in R2 coins. If x represent the total coins, hence:

(5/14) * x = 90

x = 252

Number of R5 coins = (2/14) * 252 = 36

Number of R1 coins = (7/14) * 252 = 126

Andrew has saved 36 number of R5 coins, 90 number of R2 coins and 126 number of R1 coins,

find out more on equation at: brainly.com/question/2972832

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2 years ago

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Answer:

There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

Step-by-step explanation:

The parameters of the music streaming service are;

The average number of households using Apple Music, $\overline {X}_1$ = 1.73 million

The standard deviation, σ₁² = 0.46 million

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The standard deviation, σ₂² = 0.33 million

The significance level = 0.01

Hypothesis testing with different population standard deviation

$Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }$

H₀: $\overline {X}_1$ ≠ $\overline {X}_2$

H₁: $\overline {X}_1$ = $\overline {X}_2$

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p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714

Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis

We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

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3 years ago

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oee [108]

Answer:

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Step-by-step explanation:

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3 years ago