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Maslowich
3 years ago
9

Let A = {the Rationals) and B = {the Irrationals). Find AU B.

Mathematics
1 answer:
anzhelika [568]3 years ago
4 0

Answer:

Option B.

Step-by-step explanation:

It is given that

A = {The Rationals}

B = {The Irrationals}

We need to find the set A∪B.

If we have two sets X and Y then union of these sets (X∪Y) contains all the elements of set X, of set Y or both.

It is given that A is the set of rations and B is the set of irrational, so the union A∪B is the combined set of all rational or irrational numbers.

A∪B = {The Rationals} +  {The Irrationals}

A∪B = {The Reals}

Therefore, the correct option is B.

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The graph of a function must pass the __________ line test. <br> A) vertical <br> B) horizontal
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Answer:

A) Vertical.

Step-by-step explanation:

It must pass the vertical line test. That is it must not have any vertical line passing through more than one point on the curve. If it does then it is not a function.

Thus , for example, a circle graph would not be a function.

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3 years ago
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Nadia plans to paint her jewelry box. The box is shaped like a rectangular prism with the dimensions
Pachacha [2.7K]

Answer:

132\ in^{2} is closest to the total surface area of the box

Step-by-step explanation:

we know that

The surface area of the box is equal to

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the box

we have

L=7\frac{3}{4}\ in=\frac{7*4+3}{4}=\frac{31}{4}\ in

W=3\frac{1}{4}\ in=\frac{3*4+1}{4}=\frac{13}{4}\ in

H=3\frac{7}{8}\ in=\frac{3*8+7}{8}=\frac{31}{8}\ in

<em>Find the area of the base B</em>

B=LW

B=(\frac{31}{4})(\frac{13}{4})=\frac{403}{16}\ in^{2}

<em>Find the perimeter of the base P</em>

P=2(L+W)

P=2(\frac{31}{4}+\frac{13}{4}))

P=2(\frac{44}{4})=22\ in

<em>Find the surface area</em>

SA=2(\frac{403}{16})+22(\frac{31}{8})

SA=(\frac{403}{8})+(\frac{682}{8})

SA=\frac{1,085}{8}=135.625\ in^{2}

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3 years ago
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2 years ago
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Over [174]

Answer:

That equation doesn't make sense, so this equation means "no solution"

Step-by-step explanation:

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3 years ago
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Find f(x) and g(x) so the function can be expressed as y = f(g(x)). (1 point)
Rina8888 [55]

Answer:

g(x)=x^2+4 and f(x)=\frac{8}{x}


Step-by-step explanation:

If we want to express y as y=f(g(x)), this means that put the function g(x) into x of f(x) to get y.

The function y is given as y=\frac{8}{x^{2}+4}

<u>So we need to figure out a function g(x) that we can put into another f(x) to get y</u>

If we let g(x)=x^2+4 and f(x)=\frac{8}{x}, we can clearly see that putting g(x) into x of f(x) will give us  \frac{8}{x^2+4}, which is y.


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