Write the English phrase as an algebraic expression. Then simplify the expression. Let x represent the number.

Alenkinab [10]

<h2>Answer:</h2>

$y=\pm (\frac{x}{6})^{\frac{1}{4}} \ is \ not \ a \ function$

<h2>Step by step solution:</h2>

A function $f$ from a set $A$ to a set $B$ is a relation that assigns to each element $x$ in the set $A$ exactly one element $y$ in the set $B$ . The set $A$ is the domain (also called the set of inputs) of the function and the set $B$ contains the range (also called the set of outputs). On the other hand, a function has an inverse function if and only if passes the Horizontal Line Test for Inverse Functions. This test tells us that a function $f$ has an inverse function if and only if there is no any horizontal line that intersects the graph of $f$ at more than one point. So the function is called one-to-one. The graph of $f$ is shown below. As you can see, this function does not pass the Horizontal Line Test, therefore the inverse is not a function. However, let's find $f^-{1}(x)$ :

$f(x)=6x^4 \\ \\ Substitute \ f(x) \ by \ y \\ \\ y=6x^4 \\ \\ Interchange \ x \ and \ y: \\ \\ x=6y^4 \\ \\ Solve \ for \ y: \\ \\ y^4=\frac{x}{6} \\ \\ Solving \\ \\y=\pm \sqrt[4]{\frac{x}{6}} \\ \\ \boxed{y=\pm \left(\frac{x}{6}\right)^{\frac{1}{4}}}$

and this is not a function because there are elements in the set of inputs that match with two elements in the set of outputs.

5 0

2 years ago

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I need some help on this question please

elena-s [515]

Answer:

15

Step-by-step explanation:

Ok so first you need to know how to calculate the volume of a cylinder

I will put the formula here: V=πr2h

Since pi is equal to 3.14 as said in the problem we can simply divide 282.6 by pi, the radius and 2

That is equal to 282.6/3.14*3*2

A little calculation shows that, the answer is 15

Hope this helps :)

5 0

3 years ago

A ladder 8m long rests against a house. If the house is 6m high and the bottom of the ladder is 2m from the house, how much of t

Alex

Answer:

15

Step-by-step explanation:

you add all of them up and you get your answer

8 0

2 years ago

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ABCD is a parallelogram. If a CDA - 57 then BCD-_?

Paha777 [63]

Answer:

57

Step-by-step explanation:

It is given in the question that length CDA = 57.

Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.

CDA = CD + AD

BCD = BC + CD

Since BC=AD and CD=CD

BCD = BC + CD is the same as CD + AD = CDA

Therefore BCD is the same length as CDA = 57

In other words, CDA is made up of a long side and a short side = 57

BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.

Hope this helped!

3 0

2 years ago

Todd begins piano practice ar 4:15 p.m. and ends at 5:50 p.m. How long does he practice

kumpel [21]

He practiced for 1 hour and 30 minutes

4 0

3 years ago

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