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Bumek [7]
3 years ago
14

Simplify each expression as much as possible, and rationalize denominators when applicable. . √54x^2=?

Mathematics
1 answer:
JulijaS [17]3 years ago
3 0

Answer:

\sqrt{54x^{2}} = 3x\sqrt{6}

Step-by-step explanation:

We have

\sqrt{54x^{2}} this equals to

\sqrt{3.3.3.2.x^{2} }  now we try to agrupate to have exponent of 2 that we can cancel

\sqrt{3^{2}.3.2x^{2}}  we can take out the ones with exponent from the root

3x\sqrt{3.2} \\= 3x\sqrt{6}

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Which best describes the relationship between the successive terms in the sequence shown?
Alex Ar [27]

Given series is 2.4,-4.8,9.6,-19.2

To find whether it has common difference or common ratio let us find few differences and few ratios of consecutive terms.

Common difference of first 2 terms = 2nd term - first term = -4.8-2.4 = -7.2

Common difference of 2nd and 3rd terms = 3rd term - 2nd term = 9.6-(-4.8) = 14.4

Since those common differences are not equal the given series does not have common difference at all.

To check if it has common ratio or not let us find few ratios of consecutive terms.

Common ratio of first 2 terms = \frac{2nd term}{first term} = \frac{-4.8}{2.4} = -2

Common ratio of 2nd and 3rd terms = \frac{3rd term}{2nd term} = \frac{9.6}{-4.8} = -2.0

So, the given series has common ratio as -2.0

7 0
3 years ago
Read 2 more answers
25/5=9/5 divided by 5/1
weeeeeb [17]

9/5= 1.8 and 5/1= 5 so 1.8/5= 0.36 or 36/100 /2 18/50 9/25 answer : .36 or 9/25

6 0
3 years ago
Find the value of each expression.<br>10. |-41|<br>12. -|1.5|<br>​
Valentin [98]

Step-by-step explanation:

10. |-41|= 41

12. -|1.5|= -1.5

3 0
3 years ago
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What is the explicit formula for this sequence?
Zarrin [17]

Step-by-step explanation:

The above sequence is a geometric sequence

For an nth term in a geometric sequence

a(n) = a ({r})^{n - 1}

where

n is the number of terms

a is the first term

r is the common ratio

From the question

a = 5

r = 10/5 = 2

Therefore the explicit formula for this sequence is

a(n) = 5( {2})^{n - 1}

Hope this helps you

8 0
3 years ago
Simplify (5x3− x + 14) − (3x2− 9x + 4).
Ksenya-84 [330]

Answer:

Option A.,

Step-by-step explanation:

(5x3− x + 14) − (3x2− 9x + 4)

First remove the 2 sets of parentheses. Note when we remove the second one we multiply  the terms inside by -1.  ( Or we might say we distribute the negative over this parentheses.)

= 5x^3 - x + 14 - 3x^2 + 9x - 4

Now we simplify like terms:-

= 5x^3 - 3x^2 + 8x + 10 (answer).



7 0
3 years ago
Read 2 more answers
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