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3 years ago

Factor the GCF: −6x4y5 − 15x3y2 + 9x2y3

1 answer:

8 0

−24xy^5−15x×3y^2+9x×2y^3

−24xy^5−45xy^2+9x×2y^3
−24xy^5−45xy^2+18xy^3

Hope i helped^-^

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Simplify (4xy^-2)/(12x^(-1/3)y^-5) and Show work ...?

oee [108]

The answer is $\frac{x^{4/3}y^{3}}{3}$ .

The fraction is: $\frac{4xy^{-2} }{12 x^{-1/3} y^{-5} }$
Let's rewrite it: $\frac{4xy^{-2} }{12 x^{-1/3} y^{-5} }=\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }$

Since $\frac{x^{a} }{x^{b}} =x^{a-b}$ ,
then:
*** $\frac{x}{ x^{-1/3} }= x^{1-(-1/3)} = x^{3/3+1/3} = x^{4/3}$
*** $\frac{y^{-2} }{ y^{-5} }= y^{-2-(-5)} = y^{-2+5} = y^{3}$
______
$\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }= \frac{1*4}{3*4}* x^{4/3}*y^{3}= \frac{1}{3} * x^{4/3}*y^{3}= \frac{x^{4/3}y^{3}}{3}$

8 0

3 years ago

Hord

Tomtit [17]

Answer:

The volume of the space outside the pyramid but inside the prism is 225 cubic centimeters.

Step-by-step explanation:

To find this, you subtract the volume of the pyramid from the volume of the rectangular prism.

The prism and pyramid's bases is 25 cm²

The pyramid's height is 12÷2 or 6 cm

The volume formula for a prism is l×w×h

The volume formula for a pyramid is $\frac{1}{3}$ ×b×h

The area of the prism is 5×5×12 or 300 cm³

The area of the pyramid is $\frac{1}{3} *25*6$ or 75 cm³

300 cm³-75 cm³=225 cm³

The volume outside the pyramid but inside the prism is 225 cm³.

3 0

3 years ago

3x^2 Type of expression coefficients and constant

Contact [7]

Answer & Step-by-step explanation:

3x²

This term represents a monomial expression. Mono- means one. This term is by itself. It has no other term added or subtracted to it.

The coefficient of this term is 3 because it is the number that the variable is connected to.

There are no constants because this is a monomial expression.

5 0

3 years ago

The distance on a map between a student’s house and her job is 4 centimeters. On the same map, the distance between her house an

vovikov84 [41]

6cm - 900000cm multiplica cruzado ⇒ 6x = 900000 ⇒ x = 150000cm
1cm - x

1cm - 150000cm multiplica cruzado -> d = 600000cm = 6km 4cm - d

LETRA A

8 0

3 years ago

Read 2 more answers

Which score has a higher relative position, a score of 271.2 on a test for which = 240 and , or a score of 63.6 on a test for wh

Fittoniya [83]

Answer:

The score of 271.2 on a test for which xbar = 240 and s = 24 has a higher relative position than a score of 63.6 on a test for which xbar = 60 and s = 6.

Step-by-step explanation:

Standardized score, z = (x - xbar)/s

xbar = mean, s = standard deviation.

For the first test, x = 271.2, xbar = 240, s = 24

z = (271.2 - 240)/24 = 1.3

For the second test, x = 63.6, xbar = 60, s = 6

z = (63.6 - 60)/6 = 0.6

The standardized score for the first test is more than double of the second test, hence, the score from the first test has the higher relative position.

Hope this Helps!!!

3 0

3 years ago