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Lilit [14]
4 years ago
12

This rational expression is nonequivalent. 5x / 25x^4 ; x^3 / 5x^15 True or false?????

Mathematics
2 answers:
FromTheMoon [43]4 years ago
8 0

It is nonequivalent. Figure it out this way. Think about what number has to be multiplied by both the numerator and the denominator of \frac{5x}{25x^4} to get to \frac{x^3}{5x^15}. It has to be the samee number for the one expression to be equivalent to the other. To get from 5x to x^3, we have to multiply by 1/5x^2. When we do that we get x^3. Good. Now we have to multiply the denominator by the same thing, 1/5x^2. 25x^4(\frac{1}{5}x^2)=5x^6. As you can see, they are not equivalent.

Inga [223]4 years ago
5 0

For this case we have the following expressions:

\frac{5x}{25x^4}

\frac{x^3}{5x^{15}}

We can rewrite both expressions using properties of powers.

For power properties we have:

"In a division, if we have the same base, we subtract the exponents"

Rewriting both expressions we have:

\frac{5x}{25x^4} = \frac{1}{5}x^{1-4} = \frac{1}{5}x^{-3} =  \frac{1}{5x^3}

\frac{x^3}{5x^{15}} = \frac{1}{5}x^{3-15} =\frac{1}{5}x^{-12} = \frac{1}{5x^{12}}

Answer:

True.

Rational expressions are not equivalent.

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Anon25 [30]

Answer:

Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5  meters per second.

Step-by-step explanation:

Jason is scuba diving at a constant rate toward the ocean floor.

Equation: y= -2.5x- 5

x = The number of seconds Jason has been swimming.

y=The depth of Jason in meters  below sea level

General equation : y=mx+c

m = Slope = rate of change per unit

On comparing m = -2.5

Negative signs represents the descending .

So, rate of descending per second = 2.5 m/sec

-5 denotes the initial position below sea level

So, Option D is true

So, Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5  meters per second.

6 0
3 years ago
Add. (5y - 1) + (-2y + 4) A) 3y - 5 B) 3y + 3 C) 7y + 3 D) 7y - 3
Ivan
(5y - 1) + (-2y + 4)  = 5y - 1 - 2y + 4
                              = 5y - 2y - 1 + 4
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8 0
3 years ago
Y is inversely proportional to x.<br> When y = 7, x= 9<br> Work out the value of y when x = 21.
Kazeer [188]

Answer:

y = 3

Step-by-step explanation:

y is inversely proportional to x setup:  y = k/x

'k' is the constant of variation; find this first

7 = k/9

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6 0
3 years ago
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Vertex:  

(

0

,

81

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(0,81)

Focus:  

(

0

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(

0

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81

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(0,81)

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(

0

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323

4

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80

0

81

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xy-277-180081180277

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x

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1

−

x

2

?

?

f(x)=81-x2??

f

(

x

)

=

81

−

x

2

x

?

f(x)=81-x2x?

f

(

x

)

=

81

−

x

2

x

2

?

f(x)=81-x2x2?

f

(

x

)

=

81

−

x

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x

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≥

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(

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values. The  

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values should be selected around the vertex.

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80

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81

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0

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81

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(0,81)

Focus:  

(

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323

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x

=

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x=0

Directrix:  

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4

y=3254

x

y

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2

77

−

1

80

0

81

1

80

2

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xy-277-180081180277

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(

0

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−

1

80

0

81

1

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2

77

xy-277-180081180277

Graph the parabola using its properties and the selected points.

Direction: Opens Down

Vertex:  

(

0

,

81

)

(0,81)

Focus:  

(

0

,

323

4

)

(0,3234)

Axis of Symmetry:  

x

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Directrix:  

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y=3254

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2

77

−

1

80

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81

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8

1

−

x

2

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?

f(x)=81-x2??

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Graph the parabola using its properties and the selected points.

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Focus:  

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x

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f(x)=81-x2x2?

f

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x

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=

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f(x)=81-x2x3?

(

)

|

[

]

√



≥



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5 0
3 years ago
Answer question number 10. Show your work!
Gemiola [76]

Answer:

80 percent

Step-by-step explanation:

2+8 =10

20% red

80% blue

100% paint

6 0
3 years ago
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