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Olegator [25]
3 years ago
10

Factor the GCF: −6x4y5 − 15x3y2 + 9x2y3 (5 points)

Mathematics
2 answers:
Inessa [10]3 years ago
7 0

Answer:

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

Step-by-step explanation:

Factor the GCF:-6x^4y^5 - 15x^3y^2 + 9x^2y^3

we find GCF for each term

GCF of -6, -15 and 9 is -3

For variables, the variable with lowest exponent is the GCF

GCF of x^4,x^3 and x^2 is x^2

GCF of y^5,y^2 and y^3 is y^2

So GCF is -3x^2y^2

Now put GCF outside and divide each term by GCF

-6x^4y^5 - 15x^3y^2 + 9x^2y^3

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

MissTica3 years ago
3 0
-6x^4y^5-15x^3y^2+9x^2y^3

The GCF OF -6, -15, & 9, is -3
The GCF OF x's is x^2
The GCF OF y's is y^2
These are the number of x's and y's that each term has.
-3x^2y^2(2x^2y^3+5x-3y)
LETTER B
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Rachel has a box in the shape of a prism with a square base. The capacity of the box is 150 cubic inches. The height of the box
Alex777 [14]

Answer:

Step-by-step explanation:

What do we know about that prism?

It's a rectangular prism with a square base.

Height: y (from question)

base length: x (from question)

base width: x (from question, since it's a square base).

Total volume: 150 cu inches

The question lacks a relationship between x and y the "is __ times", but we can see from the answer choices that they all show a constant relationship:

y = 1.5 x  

The volume of a prism is obtained by  multiplying the lengths of its 3 dimensions: V = length * width * height.  In our case, we then have

150 = x * x *  y

then we replace y by its x-expressed equivalent:

150 = x * x * (1.5x) = 1.5x³

then we isolate x³ by dividing each side by 1.5

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x = 4.64

So, answer is D. x = 4.6 and y = 6.9

If you you 4.64 * 4.64 * 6.96 = you get 149.8, which is very close to 150.

8 0
3 years ago
5. A monument casts a 78 ft. shadow at the same time that a vertical yardstick casts a 4.5 ft. shadow. How high is the monument?
rodikova [14]

Hello,

Using Thalès 's theorem:

Let's h the height of the monument.

\dfrac{1}{h} =\dfrac{4.5}{78} \\\\h=\dfrac{78}{4.5} =\dfrac{156}{9} \approx{17.3\ (ft)}

If you don't know what is the Thalès's theorem,

imagine that the similar triangles.

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3 years ago
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