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2 years ago

Divide (-3х + 4 + 18х^2 )by (5 + 6x)

Mathematics

1 answer:

Leokris [45]2 years ago

5 0

Answer:

The division will be represented as:

$\frac{18x^{2}-3x+4}{6x+5}=(3x-3)+\frac{19}{6x+5}$

Step-by-step explanation:

1) Let's find a number with a variable that multiplied by 6x gives as 18x². It will be 3x, because (6x+5)3x=18x²+15x.

Now, let's subtstract:

$(18x^{2}-3x+4)-(18x^{2}+15x)=-18x+4$

2) Let's find a number with a variable that multiplied by 6x gives as -18x. It will be -3, because (6x+5)(-3)=-18x-15.

Now, let's subtstract:

$(-18x+4)-(-18x-15)=19$

Therefore, the division will be represented as:

$\frac{18x^{2}-3x+4}{6x+5}=(3x-3)+\frac{19}{6x+5}$

I hope it helps you!

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Please help.

Alika [10]

Answer:

250 smaller boxes

Step-by-step explanation:

Find the volume of the 2 cuboids.

Formula = Length x width x height

Big cuboid = 50 x 30 x 20 = 30000

Small cuboid = 10 x 3 x 4 = 120

Now divide them.

30000 ÷ 120 = 250 small boxes

5 0

2 years ago

Help! <br> Which expression is equivalent? <br> On edge

Ira Lisetskai [31]

Answer: Choice B

$x^{1/8}y^{8}$

======================================================

Explanation:

The two rules we use are

$(a*b)^c = a^c*b^c$

$(a^b)^c = a^{b*c}$

When applying the first rule to the expression your teacher gave you, we can say that:

$\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}$

Then applying the second rule lets us say

$\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}$

Therefore,

$\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}$

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

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

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3 years ago

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belka [17]

$\dfrac{6}{7}cd=\dfrac{6}{7}\cdot c\cdot d\\\\Factors:\ \dfrac{6}{7},\ c,\ d\\\\6x^2+7xy+3+9\\\\Constans\ (without\ x\ and\ y):\ 3,\ 9\\\\2x-4y+8=(2x)+(-4y)+(8)\\\\Terms:\ 2x,\ -4y,\ 8$

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3 years ago

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AleksAgata [21]

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3 years ago

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Tanya [424]

Answer:

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2 years ago