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VladimirAG [237]
3 years ago
14

Select all radical expressions that are equivalent to 4^3/5 .

Mathematics
2 answers:
balu736 [363]3 years ago
8 0
The 2nd and 3rd are correct
dexar [7]3 years ago
4 0
Remember

x^ \frac{m}{n} = \sqrt[n]{x^m}
and
(x^m)^n=x^{mn}
 so

x^ \frac{3}{5} = \sqrt[5]{4^3}
but wait, there's more

4=2², so

x^ \frac{3}{5} = \sqrt[5]{4^3}  = \sqrt[5]{(2^2)^3}  = \sqrt[5]{2^6}=
2^ \frac{6}{5}=(2^ \frac{5}{5})(2^ \frac{1}{5})=2 \sqrt[5]{2}

also, 4^3=64


so possible ones are
2^ \frac{6}{5}
\sqrt[5]{4^3}
\sqrt[5]{64}
2 \sqrt[5]{2}
of the ones listed, the 2nd and 3rd options are correct (\sqrt[5]{4^3} and \sqrt[5]{64})
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19. A carpenter is putting a skylight in the roof. If the roof measures (10x + 9) by (7x + 7) and the skylight measures (x + 5)
velikii [3]
19)  67x²+115x+48
20) (w+8)²
21) (d+11)²
22) (r+7)(r-7)

Explanation:
19)  The area of the ceiling is given by (10x+9)(7x+7).  Multiplying we have:
10x*7x+7*10x+9*7x+9*7
=70x²+70x+63x+63
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The area of the skylight is given by (x+5)(3x+3).  Multiplying we have:
x*3x+3*x+5*3x+5*3
=3x²+3x+15x+15
=3x²+18x+15

To find the remaining area of the ceiling we subtract:
(70x²+133x+63)-(3x²+18x+15)
=70x²+133x+63-3x²-18x-15
=67x²+115x+48

20)  To factor, we want to find factors of c, 64, that sum to b, 16.  8*8=64 and 8+8=16; therefore we have:
(w+8)(w+8)
Since this is the same binomial twice, we write it as (w+8)²

21)  Again we look for factors of c, 121, that sum to b, 22.  11*11=121 and 11+11=22, so:
(d+11)(d+11)
Since this is the same binomial twice, we have (d+11)²

22)  Factors of -49 that sum to 0 (there is no r term, just r²):  -7*7=-49 and -7+7=0, so:
(r-7)(r+7)
6 0
3 years ago
Classify each polynomial as constant, linear, quadratic, or cubic. Combine like terms first.
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(2) Answer: (C) Quadratic (power of x is 2)

(3) Answer: (B) Linear (highest degree 1)

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8 0
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