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3 years ago

Which is the completely factored from of xy^3-x^3y

Mathematics

1 answer:

Oksanka [162]3 years ago

7 0

Answer:

$xy(y+x)(y-x)$

Step-by-step explanation:

To factor the expression, remove the greatest common factor or GCF from each term. Both terms share in common xy. The expression becomes:

$xy^3-x^3y\\xy(y^2-x^2)$

What remains in the parenthesis is a different of perfect squares. Factor the difference of perfect squares into two binomials of the form (x+a)(x-a) where a is the square root of $(x^2-a^2)$ .

So the expression becomes:

$xy(y^2-x^2)\\xy(y+x)(y-x)$

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Anyone help me ASAP, its due in an hour, plz show all the working, THANK YOU SO MUCH

Leona [35]

Answer:

Step-by-step explanation:

First, start out with the parent function:

$y = b^{x}$

Now, we look at the transformations, and make the equation.

We see that the graph shifted down 4 units, since the graph's horizontal asymptote is at y = -4.

$y = b^{x} - 4$

We see point (0, -3) to point (1, -1). The value of b would be 3. The reason is that when you plug 0 in, you get 1, then 1 - 4 equals 3. (0, -3),

Then, when you plug in 1, you get 3, then 3 - 4 equals -1. This matches up with the graph.

This is the answer:

$y = 3^{x}-4$

#teamtrees #WAP (Water And Plant)

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3 years ago

The math team went to lunch to celebrate Ms. Renft's birthday on February 11th. The

k0ka [10]

Answer:

$171.12

Step-by-step explanation:

Including the tip and cost, it is 171.12. Multiply 148.6 by 1.15, which includes the total cost plus another 15% for the tip.

4 0

3 years ago

A plane flies 510 kilometers with a bearing of 316° from Naples to Elgin (see figure). The plane then flies 720 kilometers from

IgorC [24]

Answer:

#carryonlearning

Step-by-step explanation:

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3 years ago

Gonzalez Manufacturing borrowed $. Part of the money was borrowed at %, part at %, and part at %. The annual interest was $

Pavel [41]

Answer:

The answer is "rate 12%, 14%, 16% and value 4000, 10000, and 7000".

Step-by-step explanation:

Let the value is x, y, and z. so,

The value of x amount will be borrowed at 12% $= \frac{12}{100} \times x= 0.12x$

The value of y amount will be borrowed at 14% $= \frac{14}{100} \times x= 0.14x$

The value of z amount will be borrowed at 16% $= \frac{16}{100} \times x= 0.16x$

If the total amount= 21000

$\to x+y+z=21000$

If the total interest= 3000

calculating the total interest:

$\to 0.12x +0.14y +0.16z = 3000$

The overall amount borrowing at 12% and 14% was half as much as the amount borrowed at 16%.

$\to x + y = 2z\\\\\to x + y - 2z = 0$

by calculating the value we have 3 equations that are:

$\to x+y+z=21000\\\\\to 0.12.x +0.14.y +0.16z = 3000\\\\\to x + y - 2z= 0\\$

calculate the matrix by above-given value:

$\left[\begin{array}{ccc}1&1&1\\0.12&0.14&0.16\\1&1&-2\end{array}\right]$ $\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}21000&3000&0\\ \end{array}\right]$

by solving the above matrix we get:

$\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}4000&10000&7000\\ \end{array}\right]$

$\to \$ 4000 \text{ lent at} 12 \% \\\to \$ 10000 \text{ lent at} 14 \% \\\to \$ 7000 \text{ lent at} 16\%\\\\$

6 0

3 years ago

Explain the difference between a greatest common factor and a least common multpule

hodyreva [135]

Answer:

The Greatest Common Factor, the GCF, is the biggest ("greatest") number that will divide into (that is, the largest number that is a factor of) both 2940 and 3150. On the other hand, the Least Common Multiple, the LCM, is the smallest ("least") number that both 2940 and 3150 will divide into.

Have a good day

4 0

3 years ago