<img src="https://tex.z-dn.net/?f=%28y%20-%201%29%20%5E%7B2%7D%20" id="TexFormula1" title="(y - 1) ^{2} " alt="(y

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My name is Ann [436]

3 years ago

ign="absmiddle" class="latex-formula">

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

7 0

(a-b)^2=a^2-2ab+b^2

this translates to

y^2-2y+1

Hope this helps!

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Three more than the quotient of a number and 5 is equal to 9

mars1129 [50]

Answer:

The number is 30.

Step-by-step explanation:

x/5+3=9

x/5=9-3

x/5=6

x=6*5

x=30

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3 years ago

Seven people meet and shake hands with one another. how many handshakes occur ?

Kryger [21]

49 shakes in total. 7x7=49

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3 years ago

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The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show

sattari [20]

Answer:

D. $Q_3=47$

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

$Q_3=\frac{3}{4}*(n+1)^{\text{th term}}$ , where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

$Q_3=\frac{3}{4}*(11+1)^{\text{th term}}$

$Q_3=\frac{3}{4}*(12)^{\text{th term}}$

$Q_3=3*3^{\text{th term}}$

$Q_3=9^{\text{th term}}$

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

3 0

3 years ago

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castortr0y [4]

Answer:

Its an Arithmetic progression

Step-by-step explanation:

d1= -18-(-25)= 7

d2= -11-(-18)= 7

d1 = d2

r1 = -18/25=0.72

r2 = -11/-8= 0.611

r1 isnt = r2

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2 years ago

Let f(x) = 8x3 - 28x + 61 and g(x) = 2x + 5. Find f(x) / g(x)

LiRa [457]

This is a division of polynomials

   8x^3 - 28x + 61 | 2x + 5
      -----------------------
- 8x^3 - 20x^2 4x^2 - 10x + 11x
---------------------------------
0     - 20x^2 - 28x + 61
   +20x^2 +50x
   ------------------------
   0    +22x +61
   -22x -55
----------------
    6

Then, the division is not exact and the result is 4x^2 - 10x + 11x with remainder 6, or:

4x^2 - 10x + 11x + [ 6/ ( 2x + 5)

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3 years ago

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