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son4ous [18]
3 years ago
11

If m(x) =x+5/x-1 and n(x) =x-3 which function has the same domain as (m.n)(x)

Mathematics
1 answer:
Travka [436]3 years ago
4 0

Answer:

Step-by-step explanation:

m (x) = (x+ 5) / (x -1)        and     n(x) = x - 3.

m(x) = \dfrac{x+5}{x-1}

Hence

m(n) = \dfrac{n+5}{n-1}

but n is a function and n = x-3. Now, replace value of n on m (n)

(m(n))= \dfrac{(x-3)+5}{(x-3)-1}

simplify it

(m\bullet n)(x) =\dfrac{x+2}{x-4}\\

since (m . n) (x)  is a fraction function, its domain will be all x such that the denominator is NOT 0. That is

x-4\ne 0\rightarrow x\ne 4

among options, only C has the same denominator with (m\bullet n)(x)

Hence their domains are the same.

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A and C I believe

Step-by-step explanation:

Because when you take 7.429 another nine rounds the 2 and it is higher than 5 so it would make that 7.43 and for C 7.433 the second 3 is lower than 5 so it doesnt change anything, since 5 and above give it a shove and 4 and below let it go, so I believe its A and C

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3 years ago
An image of a rectangular pyramid is shown below: A right rectangular pyramid is shown. Part A: A cross section of the rectangul
valentina_108 [34]

Answer:

Part a) Rectangle

Part b) Triangle

Step-by-step explanation:

<u><em>The picture of the question in the attached figure N 1</em></u>

Part A) A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section?

we know that

When a geometric plane slices any right pyramid so that the cut is parallel to the plane of the base, the cross section will have the same shape (but not the same size) as the base, So, in the case of a right rectangular pyramid, the cross section is a rectangle

Part b)  If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section?

we know that

Cross sections perpendicular to the base and through the vertex will be triangles

see  the attached figure N 2 to better understand the problem

5 0
3 years ago
(03.01 LC)<br><br> What is the length of leg y of the right triangle? (1 point)
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Answer:

<h2>A</h2>

Step-by-step explanation:

The complete question is

What is the length of leg y of the right triangle?

A right triangle with hypotenuse 26 and legs 24 and y

  • 10
  • 14
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  • 26

We need to use the Pythagorean Theorem, where h=26 and x=24,

h^{2} =x^{2} +y^{2}\\ 26^{2}=24^{2}+y^{2}\\y=\sqrt{26^{2}-24^{2}}\\ y=\sqrt{676-576}\\ y=\sqrt{100}\\ y=10

Therefore, the right answer is A. The length of the missing leg is 10 units.

4 0
2 years ago
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