Use the long division method to find the result when 12x3 + 1732 + 12x + 4 is<br> divided by 3x + 2.

Define mean. Then determine the mean of the following data set (22,18,38,6,24,18)

STALIN [3.7K]

Mean is the average number in the data set.

To get the average we first add all the numbers.

After we add all these numbers we then divide by the number of numbers in the data set.

So we do 22+18+38+6+24+18 which is equal to 126 there are six numbers so we divide 126 by 6. This gives us a mean of 21.

ANOTHER EXAMPLE:

Another example of this is the data set (4,65,7,34,5)

We first add all the numbers and get 115 then we divide by 5 and get 23 as the mean.

8 0

3 years ago

Painted Pots lets customers choose and paint their own pottery. The store has teapots in

DiKsa [7]

Answer:

i did this but never got it right

Step-by-step explanation:

8 0

2 years ago

Find the exact solutions and simplify as much as possible: 3x^2+1=6x

svetoff [14.1K]

Answer:

$\frac{3+ \sqrt{6} }{3}$ and $\frac{3- \sqrt{6} }{3}$

Step-by-step explanation:

This is a quadratic equation, so we start by rearranging its terms so we can apply the quadratic formula:

$ax^2+bx+c=0$ has two possible solutions given by:

$x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}$

So we rearrange the terms in the given quadratic equation bringing all terms to the left hhand side of the equal sign:

$3x^2+1=6x\\3x^2-6x+1=0$

The solutions will then be:

$x=\frac{6+/- \sqrt{36-4(3)(1)} }{2(3)}=\frac{6+/- \sqrt{36-12} }{6}=\frac{6+/- \sqrt{24} }{6}=\frac{6+/- \sqrt{4*6} }{6}=\frac{6+/- 2\sqrt{6} }{6}=\frac{3+/- \sqrt{6} }{3}$

Therefore the two possible answer are: $\frac{3+ \sqrt{6} }{3}$ and $\frac{3- \sqrt{6} }{3}$

5 0

3 years ago

If the profits in your consulting business increase by 8% one year and decrease by 2% the following year, your profits are up

olchik [2.2K]

Answer:

not true....

assume $100 start.

in year 1 you are at $108 (up 8%)

in year 2 $108(.98) ... that is 2% down = 105.84...

thus your profit is up only 5.84% over the two years

Step-by-step explanation:

6 0

3 years ago

The vertices A, B, C of a triangle are (2,1),(5,2),and (3,4) respectively . Find the coordinate of the circumcentre and also the

BlackZzzverrR [31]

Answer:

Circumcenter = (4,0)

Circumcircle = √5

Step-by-step explanation:

The circumcentre is the point of intersection of the perpendicular bisectors of a triangle. The vertices of the triangle are equidistant to the circumcentre.

Let us assume the coordinate of the circumcentre is at O(x, y). Therefore the distance between the cirmcumcenter and the vertices are:

$AO=\sqrt{(x-2)^2+(y-1)^2} =\sqrt{x^2-4x+4+(y^2-2y+1)}\\=\sqrt{x^2+y^2-4x-2y+5} \\\\BO=\sqrt{(x-5)^2+(y-2)^2} =\sqrt{x^2-10x+25+(y^2-4y+4)}\\=\sqrt{x^2+y^2-10x-4y+29} \\\\CO=\sqrt{(x-3)^2+(y-4)^2} \\=\sqrt{x^2-9x+9+(y^2-8y+16)}=\sqrt{x^2+y^2-9x-8y+25} \\$

AO = BO, therefore

√(x² + y²-4x-2y+5) = √(x² + y² - 10x - 4y + 29)

x² + y²-4x-2y+5 = x² + y² - 10x - 4y + 29

6x + 2y = 24 (1)

BO = CO

√(x² + y² - 10x - 4y + 29) = √(x² + y² - 9x - 8y + 25)

x² + y² - 10x - 4y + 29 = x² + y² - 9x - 8y + 25

-x + 4y = -4 (2)

Multiply equation 2 by 6 and add to equation 1:

26y = 0

y=0

Put y = 0 in -x + 4y = -4

-x + 4(0) = -4

x = 4

The cicumcenter is at (4, 0)

The radius of the circumcircle = AO = BO = CO. Therefore:

$Radius=AO=\sqrt{(4-2)^2+(0-1)^2} =\sqrt{4+1}=\sqrt{5}$

7 0

3 years ago

Use the long division method to find the result when 12x3 + 1732 + 12x + 4 is divided by 3x + 2.