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3 years ago

What is (2+y)³ written out? 8 + 12y + 6y² + y³ 6 + 8y + 4y² + y³

2 answers:

7 0

$\boxed{(2+y)^3-cube\ the\ sum\ of\ the\ numbers\ 2\ and\ y}$

$Use:\ (a+b)^3=(a+b)(a+b)(a+b)=a^3+3a^2b+3ab^2+b^3\\----------------------------\\(2+y)^3=2^3+3\cdot2^2\cdot y+3\cdot2\cdot y^2+y^3=8+3\cdot4y+6y^2+y^3\\\\=8+12y+6y^2+y^3\\========================================$

$8+12y+6y^2+6y^3+8y+4y^2+y^3\\=8+(12y+8y)+(6y^2+4y^2)+(6y^3+y^3)\\=8+20y+10y^2+7y^3$

geniusboy [140]3 years ago

6 0

(2+y)3

=(2+y)*(2+y)*(2+y)

=(2+y)(y2+4y+4)

=(2)(y^2)+(2)(4y)+(2)(4)+(y)(y^2)+(y)(4y)+(y)(4)

=2y^2+8y+8+y^3+4y^2+4y

=y^3+6y^2+12y+8

-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-

8 + 12y + 6y² + y³ 6 + 8y + 4y² + y³

Combine Like Terms:

=8+12y+6y^2+6y^3+8y+4y^2+y3

=(6y^3+y^3)+(6y^2+4y^2)+(12y+8y)+(8)

=7y^3+10y^2+20y+8

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Rock can read 10 books in 30 minutes.how long does it take rock to read 15 books,if the speed is consistant.

vazorg [7]

10book=30mins
divide 10
1book=3mins

time=(time to read 1 book) times (number of books)
time to read 1 book=3 mins
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15books=45mins

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7 0

3 years ago

Read 2 more answers

Complete the set of ordered pairs for the relation.

Nonamiya [84]

The set of ordered pairs are $(-2,18),(-1,20),(0,22),(1,24),(2,26)$

Step-by-step explanation:

Given that the relation $\{(x, y): y=2(x+11) \text { and } x \in(-2,-1,0,1,2)\}$

To find the set of ordered pairs, let us substitute the value for x in the relation $y=2(x+11)$

For $x=-2$ ,

$\begin{aligned}y &=2(-2+11) \\&=2(9) \\y &=18\end{aligned}$

The ordered pair is $(-2,18)$

For $x=-1$ ,

$\begin{aligned}y &=2(-1+11) \\&=2(10) \\y &=20\end{aligned}$

The ordered pair is $(-1,20)$

For $x=0$ ,

$\begin{aligned}y &=2(0+11) \\&=2(11) \\y &=22\end{aligned}$

The ordered pair is $(0,22)$

For $x=1$ ,

$\begin{aligned}y &=2(1+11) \\&=2(12) \\y &=24\end{aligned}$

The ordered pair is $(1,24)$

For $x=2$ ,

$\begin{aligned}y &=2(2+11) \\&=2(13) \\y &=26\end{aligned}$

The ordered pair is $(2,26)$

Thus, the set of ordered pairs is $(-2,18),(-1,20),(0,22),(1,24),(2,26)$

7 0

4 years ago

Transforming the graph of a function by shrinking or stretchingGraph (a)

tensa zangetsu [6.8K]

ANSWER

EXPLANATION

If g(x) is the transformation of f(x) as follows,

$g(x)=f(ax)$

Then g(x) is a horizontal compression (if a > 1) or stretch (if a < 1) of f(x). The rule to map each point is,

$(x,y)\to(x/a,y)$

In this case, this is a stretch so the point (-2, 2) maps to the point (-4, 2) and the origin is the same. Join these two points with a line and we get the graph of f(¹/₂x).