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Zielflug [23.3K]
2 years ago
6

Factor completely 5xy3 15x3y2 − 30x2y2. 5(xy3 3x3y2 − 6x2y2) 5x(y3 3x2y2 − 6xy2) 5xy2(y 3x2 − 6x) Prime.

Mathematics
1 answer:
Mandarinka [93]2 years ago
3 0

Factoring an expression involves rewriting the expression in simplier form

The factored expression of 5xy^3 + 15x^3y^2 - 30x^2y^2 is 5xy^2(y + 3x^2 - 6x)

<h3>How to factor the expression</h3>

The expression is given as:

5xy^3 + 15x^3y^2 - 30x^2y^2

Factor out 5x from the expression

5x(y^3 + 3x^2y^2 - 6xy^2)

Factor out y^2 from the expression

5xy^2(y + 3x^2 - 6x)

Hence, the factored expression of 5xy^3 + 15x^3y^2 - 30x^2y^2 is 5xy^2(y + 3x^2 - 6x)

Read more about factorized expressions at:

brainly.com/question/723406

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The greatest common factor of three numbers is 9. The sum of the numbers is 90. Find the three numbers.
Ivan

Answer:

2, 3, 5

Step-by-step explanation:

9 x 2= 18

9 x 3 = 27

9 x 5 = 45

4 0
3 years ago
1) Graph the following lines and using the graph determine several values of x for which the graph is positive (negative):
Aleksandr [31]

1) y=-0.5x-2


The graph of the above equation is attached in the attachment below.  

For all the values from negative infinity to -4, the function is positive.  

X ∈ (-∞,-4]


2) y=-1.5x+3


To find the x- intercept, plug y =0  

0=-1.5x+3


1.5x=3


x=2


x intercept = (2,0)


To find the y- intercept, plug x=0  

y=-1.5(0)+3


y=3


Y- intercept = ( 0,3)


3) y=13-x


Y- intercept = (0,13)


x- intercept = (13,0)


Area of triangle = \frac{bh}{2}


Area of triangle = \frac{13\times13}{2}


Area = \frac{169}{2} sq unit.


4) The graphs of y=-2x+7 and y=0.5x-5.5 is attached in the attachment below.  

The intersection point is ( 5,-3)


5) A = (-3,0)


B = (4,5)


C = (0,-4)


Slope of AB = \frac{5-0)}{4-(-3)} =\frac{5}{7}


Slope intercept of line y=mx+b


Where, m is the slope and b is the y- intercept.  

Plugging point A and the slope in the y- intercept to find the value of b.  

0=\frac{5(-3)}{7} +b

b=\frac{15}{7}


Equation of line AB: y=\frac{5x}{7} +\frac{15}{7}


Slope of BC = \frac{-4-5}{0-4} =\frac{9}{4}


Plug C = (0,-4)  

-4=0+b


b=-4


equation of line BC= y=\frac{9x}{4} -4


Slope of line AC = \frac{-4-0}{0--3} =\frac{-4}{3}


Equation of line AC = y=\frac{-4x}{3} -4


Y intercept of AB = (0,\frac{15}{7} )




5 0
3 years ago
Read 2 more answers
What is the domain and range of y = 4x + 1?
Andrei [34K]
A)D;[-,00] R:(-0, 0]
4 0
3 years ago
A Sum of $14 is made of 92 coins consisting of dimes and quarters. How Many are there of each kind of coin
steposvetlana [31]
So first I would say, what if all of them were dimes, how far away would it be from $14?

So 92 coins * 10 cents = $9.20

So it's 4.80 dollars away from 14 dollars.

So if we were to switch one to a quarter, it would increase by 0.15 cents.

So we want to see how many increases we need to reach 4.80 dollars more.

4.80/0.15 = 32

So there are 32 quarters and 60 dimes.
7 0
3 years ago
Read 2 more answers
Which ordered pair is generated from the equation shown below? y = 2x + 4 A. (1, 6) B. (1, 2) C. (3, 6) D. (8, 16)
USPshnik [31]

Answer:

The ordered pair generated from the equation is (1, 6).

Step-by-step explanation:

An ordered pair is a pair of numbers, representing two variables, in a specific order. For instance, (<em>x</em>, <em>y</em>) = (1, 2) here <em>x</em> = 1 and <em>y</em> = 2.

The equation provided is:

y=2x+4

Check for all the options:

  • A (1, 6): y=2x+4\Rightarrow\ 6=(2\times 1) +4\Rightarrow\ 6=6
  • B (1, 2): y=2x+4\Rightarrow\ 2=(2\times 1) +4\Rightarrow\ 2\neq 6
  • C (3, 6): y=2x+4\Rightarrow\ 6=(2\times 3) +4\Rightarrow\ 6\neq10
  • D (8, 16): y=2x+4\Rightarrow\ 16=(2\times 8) +4\Rightarrow\ 16\neq20

Thus, the ordered pair generated from the equation is (1, 6).

8 0
3 years ago
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