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Sonja [21]
3 years ago
5

Simplify the following exponential expression. Show your work step by step and list the Properties of Exponents used to solve th

is problem next to your work.

Mathematics
1 answer:
____ [38]3 years ago
5 0

3x^0 (2x^3y^2)^4

--------------------------

(4x^7y^4) ^2


= 3 * 1  (2x^3y^2)^4

--------------------------      Zero Exponent Property  X^0 =1

(4x^7y^4) ^2


3   (2^4 *x^3*4 y^2*4)

--------------------------     power of a power property  x^a ^b = x^(a*b)

4^2 x^7*2 y^4*2

3   *16 *x^12 y^8

--------------------------     simplify

16 x^14 y^8

3    *x^12 y^8

--------------------------     simplify

x^14 y^8

3    *x^(12-14) y^(8-8)

--------------------------     Quotient of Power  X^a/ X^b = X^ (a-b)


3x^-2 y^0  simplify

3x^-2 *1      Zero Exponent Property  X^0 =1

3 / x^2   Negative exponent property  x^-a = 1/x^a

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Answer:

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Step-by-step explanation:

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\frac{8-2}{3-0} = 2

Plug the slope into the slope intercept form equation y = mx + b

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To solve for b, plug in any (x, y) point on the table.

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3 0
3 years ago
Ethan surveyed 120 registered voters at random out of a total of 12,600 registered voters in town. He asked them who they planne
krek1111 [17]

Answer:

Based on the results of the survey, the total number of registered voters expected to vote for Ms. Gibson in the upcoming election are 4725 votes

Step-by-step explanation:

Ms. Gibson has 45 votes of 120 votes

let Ms. Gibson vote of 12,600 be x

45      120

x        12600

cross multiply

120x = 45 x 12600

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Based on the results of the survey, the total number of registered voters expected to vote for Ms. Gibson in the upcoming election are 4725 votes

5 0
3 years ago
Help please. Thanks :3
VashaNatasha [74]
(a.) constant of proportionality k
y = kx
y/x = k
use the point (1,30)
30 = k

The slope will be the same answer, theyre the same thing
use two points (1,30) and (2,60)
m = (60-30)/(2-1) = 30

(b.) The equation for the line is: y = 30x

7 0
3 years ago
Look at the picture for the question<br> Please answer
Anvisha [2.4K]

Answer:

\large\boxed{D.\ 12x^2-29x+14}

Step-by-step explanation:

Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>

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3 years ago
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Solution:

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= √(−1)^2+(−5)^2

= √1+25

= √26

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Distance between points (4, 3) and (3, -2) is 5.099.

3 0
3 years ago
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