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jolli1 [7]
3 years ago
8

-4x to the power of 2 y × -3xy to the power of 3

Mathematics
1 answer:
denis23 [38]3 years ago
5 0

- 4x^2y * 3xy^3

multiply the numbers : 4*3 = 12

-12x^2xy^3y

apply exponent rule : x^2x = x^2+1 = x^3

-12x^3y^3y

apply exponent rule again : y^3y = y^1+3 = y^4

answer : -12x^3y^4

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How do you translate the graph of f(x) = x3 left 4 units and down 2 units? Identify the equation of the graph
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Answer:

The correct option is B.

Step-by-step explanation:

The given function is

f(x)=x^3

The translation of a function is defined as

g(x)=f(x+a)+b

If a>0, then the graph of f(x) shift a units left and if a<0, then the graph of f(x) shift a units right.

If b>0, then the graph of f(x) shift b units up and if b<0, then the graph of f(x) shift b units down.

It is given that the graph of f(x) shifts 4 units left and 2 units down.  So, a=4 and b=-2.

g(x)=f(x+4)+(-2)

g(x)=(x+4)^3-2              [\because f(x)=x^3]

y=(x+4)^3-2

Therefore option B is correct.

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Gregory draws a scale drawing of his room. The scale that he uses is 1cm: 4ft. On this drawing, the room is 3cm long. Which equa
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<em><u>The equation can be used to find the actual length of Gregory's room is:</u></em>

\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }

<em><u>Solution:</u></em>

Given that,

The scale that he uses is:

1 cm : 4 feet

On this drawing, the room is 3 cm long

Let "x" be the actual length of room

Therefore,

1 cm : 4 feet

3 cm : "x" feet

This forms a proportion. Therefore,

\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }

Therefore, Option C is correct

Given that,

Rob chose A as the correct answer. Which is,

\frac{1}{4} = \frac{x}{3}

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