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FrozenT [24]
3 years ago
5

Simplify the following rational expression.

Mathematics
1 answer:
AlekseyPX3 years ago
7 0

Step-by-step explanation:

\frac{6 {x}^{3} }{15 {x}^{4} - 60x ^{3}  }  \\  \\  =  \frac{6 {x}^{3} }{3 {x}^{3} (5 {x}- 20 )} \\  \\ =  \frac{2 }{5 ({x}- 4 )}, \:  \: x \neq \: 4\\  \\

x = 4 makes the expression undefined.

Because at x = 4 denominator becomes zero, which makes the expression undefined.

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At an amusement park , the cost of 3 adult tickets and 4 children’s ticket is $126.50 another customer paid $120.50 for 2 adult
KonstantinChe [14]

Answer:

1 Adult ticket=$21.50 ; 1 Children ticket=$15.50

Step-by-step explanation:

3A+4C=126.50

2A+5C=120.50

We find the price of adult tickets 1st.

15A+20C=632.5

8A+20C=482

7A=632.5-482=150.5

1A=21.50

Now we find Children ticket

6A+8C=253

6A+15C=361.50

7C=108.50

1C=15.50

4 0
3 years ago
Without calculating, which has a bigger volume. A cube that has a length, width, and height of 18 m. Or a sphere with a radius o
Evgesh-ka [11]

Weird. A period appears above this... huh.

Answer:

[Th]e cube has a greater value.

Step-by-step explanation:

What the word problem really wants us to get [is ]the question of 'Which is greater, A=6a^2 when 'a' [is] 18 or A=4\pir^2 when r = 9? And here's how to solve that.

Starting with the[ c]ube we have A=6a^2. A bit t[o]o simple, right?

A=6(18)^2 Substitute numbers.

A=6(324) Solve ex[p]onents.

A=1944 Mult[i]ply.

So w[e] know that the cube is 1944 meters cube[d ] in area. But what about the more [f]ormidable sphere? Fo[r] it we need a slightly m[o]re co[m]plicated formula, A=4\pir^2. However, instead of using the real pi I will be rounding to 3.14, since we have no calculator so anything more would take way too long and fry your[ bra]in.

A=4(3.14)(9)^2 Subst[i]tute numbers.

A=4(3.14)(81) Solve expone[n]ts.

A=12.56(81) Multip[ly].

A=1017.36 Multiply again[.]

Now, since I'm sure all of us can count, we know that 1944 is greater than 1017.36. Or in other words, the cube is bigger than the sphere.

And PLEASE don't copy this guys. Make your own iteration. Change it up!

3 0
3 years ago
Please Help!!<br> Write the function I'm vertex form<br> y = -x^2-2x+6<br> y=
balu736 [363]

Rewrite in standard form and use the form to find the vertex.

(1, 5)

(x - 1)^2 + 5

7 0
3 years ago
The wavelength of ultraviolet light is about 0.00000003 inches. Which number best approximates this length as a power of 10?
Phantasy [73]
Letter C is the answer
4 0
9 months ago
Jane moved from a house with 72 square feet of closet space to an apartment with 44.64 square feet of closet space. What is the
Rashid [163]

Answer:

c. 38$

Step-by-step explanation:

6 0
2 years ago
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