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guajiro [1.7K]
2 years ago
15

R^2+7r+10/3 / 3-30/r2-5r-50

Mathematics
2 answers:
kvasek [131]2 years ago
8 0
Multiply r^2+7r+10/3 by 3r-30/r^2-5r-50 
<span>=( r^2+7r+10)/3 (3r-30)/(r^2-5r-50) </span>
<span>=(r+2)(r+5)/3 3(r+10)/ (r-10)(r+5) </span>
<span>=3 (r+2)(r+5)(r+10)/3(r-10)(r+5) </span>
<span>=(r+2)(r+10)/(r-10)</span>
Simora [160]2 years ago
3 0

Answer:

umm i think its r+2

Step-by-step explanation:

((r²+7r+10)/3) × (3r-30)/(r²-5r=50)= Factoring the expression (r²+7r+10) we get  (r+2)(r+5)

Then multiply it with the other numerator, we get = (r+2)(r+5)(3(r-10)

Then we factorise = (r²-5r-50) = (r+5)(r-10)

Multiplying it with the other denominator, we have; = 3(r+5)(r-10)

Therefore dividing (r+2)(r+5)(3(r-10)/(3(r+5)(r-10) we get; = r+2

Therefore, the correct answer is r+2 (NOT MY WORK) (YAY)

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The average waist size for teenage males is 29 inches with astandard deviation of 2 inches. If waist sizes are normallydistribut
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Answer:

The z-score of a teenage with waist size 33 inch is 2

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Mathematically, the z-score can be calculated using the formula;

z-score = (x- mean)/SD

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Plugging these values, we have

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Helpp!!<br> Simplify : [( 4 1/6 + 2 1/3 ) ÷ 4 1/3 ] - 1 1/2
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Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{0}}}}}

Step-by-step explanation:

\sf{ [ (4 \frac{1}{6}  + 2 \frac{1}{3} )  \div 4 \frac{1}{3}] -  1\frac{1}{2} }

Convert the mixed numbers into improper fraction

\longrightarrow{ \sf{ [ ( \frac{25}{6}  +  \frac{7}{3} ) \div  \frac{13}{3}] -  \frac{3}{2}}}

Add the fractions : 25 / 6 and 7 / 3

While performing addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fraction.

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\longrightarrow\sf{ [( \frac{25 + 7 \times 2}{6} ) \div  \frac{13}{3} ] -  \frac{3}{2}}

\longrightarrow{ \sf{ [( \frac{25 + 14}{6} )  \div  \frac{13}{3}  ] -  \frac{3}{2} }}

\longrightarrow{ \sf{ [ \frac{39}{6}  \div  \frac{13}{3}] -  \frac{3}{2} }}

Multiply the dividend by the reciprocal of the divisor.

Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator

\longrightarrow{ \sf{ [  \frac{39}{6}  \times  \frac{3}{13} ] -  \frac{3}{2}}}

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\longrightarrow{ \sf{ [  \frac{39 \times 3}{6 \times 13} ] -  \frac{3}{2}}}

\longrightarrow{ \sf{ [  \frac{117}{78}  ] -  \frac{3}{2} }}

\longrightarrow{ \sf{ \frac{3}{2}  -  \frac{3}{2} }}

While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same

\longrightarrow{ \sf{ \frac{3 - 3}{2} }}

Subtract 3 from 3

\longrightarrow{ \sf{ \frac{0}{2}}}

Divide 0 by 2

\longrightarrow{ \sf{0}}

Hope I helped!

Best regards!

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