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Pachacha [2.7K]
3 years ago
8

Find the inverse of the Function

0-4" id="TexFormula1" title="f(x)=\sqrt[3]{\frac{x}{9} } -4" alt="f(x)=\sqrt[3]{\frac{x}{9} } -4" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
scoray [572]3 years ago
6 0

9514 1404 393

Answer:

  D

Step-by-step explanation:

Solve x = f(y) for y.

  x = ∛(y/9) -4

  x +4 = ∛(y/9) . . . . . add 4

  (x +4)³ = y/9 .. . . . . cube

  9(x +4)³ = y . . . . . . multiply by 9

The inverse function is ...

  f⁻¹(x) = 9(x +4)³ . . . . . matches the last choice

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Which expression is equivalent to<br> (X^1/4 y^16)^1/2?
lawyer [7]

Answer:

x^{\frac{1}{8} } y^{8}

Step-by-step explanation:

Given :

(x^\frac{1}{4}  y^{16} )^{1/2}

Now,

(x^\frac{1}{4}  y^{16} )^{1/2}\\x^{\frac{1}{8} } y^{8}

Therefore, expression is equivalent to x^{\frac{1}{8} } y^{8}

3 0
3 years ago
Melissa used 4 cups of sugar to bake 54 cookies. If she’s only used 1 cup of sugar, what would be an equivalent ratio of cups to
daser333 [38]

Answer:

\frac{2}{27}

Step-by-step explanation:

We have given  that melissa used 4 cups of sugar to bake 54 cookies.

That means 1 cup of sugar will be used to bake \frac{54}{4}=\frac{27}{2} by unitary method

We have to find the ratio of cups to the cookies

We are using 1 cup of sugar

And cookies will be \frac{27}{2}

\text{equivalent ratio}=\frac{1}{\frac{27}{2}}=\frac{2}{27}


3 0
3 years ago
A farmer sells 6.7 kilograms of apples and pears at the farmer's market. 1 4 of this weight is apples, and the rest is pears. Ho
Damm [24]

Answer:

1.9 Kilograms.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.
Vinvika [58]

Answer:

The point estimate for population mean is 8.129 Mpa.

Step-by-step explanation:

We are given the following in the question:

Data on flexural strength(MPa) for concrete beams of a certain type:

11.8, 7.7, 6.5, 6.8, 9.7, 6.8, 7.3, 7.9, 9.7, 8.7, 8.1, 8.5, 6.3, 7.0, 7.3, 7.4, 5.3, 9.0, 8.1, 11.3, 6.3, 7.2, 7.7, 7.8, 11.6, 10.7, 7.0

a) Point estimate of the mean value of strength for the conceptual population of all beams manufactured

We use the sample mean, \bar{x} as the point estimate for population mean.

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

\bar{x} = \dfrac{\sum x_i}{n} = \dfrac{219.5}{27} = 8.129

Thus, the point estimate for population mean is 8.129 Mpa.

4 0
3 years ago
Pls work out and give detail. Use the slope formula to determine the slope of each line.
kolbaska11 [484]

Answer:

m=0

Step-by-step explanation:

Given

See attachment

Required

Determine the slope of the line

From the attachment, we have the following points

(x_1,y_1) = (-4,1)

and

(x_2,y_2) = (3,1)

The slope m is then calculated using:

m = \frac{y_2- y_1}{x_2 - x_1}

Substitute values for the x's and y's

m = \frac{1-1}{3 - (-4)}

m = \frac{1-1}{3 +4}

m = \frac{0}{7}

m=0

<em>Hence, the slope is 0</em>

7 0
3 years ago
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