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snow_lady [41]
3 years ago
6

Select the correct answer. Using synthetic division, find (2x4 + 4x3 + 2x2 + 8x + 8) ÷ (x + 2). A. B. C. D.

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Step-by-step explanation:

If you use synthetic division, you get,

2x {}^{3}  + 2x + 4 +  \frac{0}{x + 2}

Which is,

2x {}^{3}  + 2x + 4

Answered by GAUTHMATH

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A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-tim
Marat540 [252]

We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:

Now, we create another column with the product of "x" and "y". Like this:

Now, we will add another column with the squares of the values of "x". Like this:

Now, we add another column with the squares of the values of "y":

Now, we sum the values on each of the columns:

Now, to get the correlation factor we use the following formula:

r=\frac{n\Sigma xy-\Sigma x\Sigma y}{\sqrt{(n\Sigma x^2-(\Sigma x)^2)(n\Sigma y^2-(\Sigma y)^2)}}

Where:

\begin{gathered} \Sigma xy=\text{ sum of the column of xy} \\ \Sigma x=\text{ sum of the column x} \\ \Sigma y=\text{ sum of the column y} \\ \Sigma x^2=\text{ sum of the column x\textasciicircum2} \\ \Sigma y^2=\text{ sum of the column y\textasciicircum2} \\ n=\text{ number of rows} \end{gathered}

Now we substitute the values, we get:

r=\frac{\left(6)(70.56)-(25.2)(16.4\right)}{\sqrt{((6)(107.12)-(25.2)^2)((6)(47.82)-(16.4)^2)}}

Solving the operations:

r=0.858

Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.

7 0
11 months ago
1-cos^2 A / sec^2 A - tan^2 A
tiny-mole [99]
I hope this helps you



✔cos^2A+sin^2A=1


✔1-cos^2A=sin^2A

✔cos2A=cos^2A-sin^2A

✔sin2A=2.sinA.cosA


secA=1/cosA


tgA=sinA/cosA


sin^2A/1/cos^2A-sin^2A/cos^2A


sin^2A.cos^2A/cos2A

2.sin^2A.cos^2A/cos2A


sin2A.2.sin2A/cos2A


tg2A.2.sin2A


6 0
3 years ago
I need help on math.<br>h(x)=8x-10<br>h( )=62
andriy [413]

Simplifying

8x + -10 = 62


Reorder the terms:

-10 + 8x = 62


Solving

-10 + 8x = 62


Solving for variable 'x'.


Move all terms containing x to the left, all other terms to the right.


Add '10' to each side of the equation.

-10 + 10 + 8x = 62 + 10


Combine like terms: -10 + 10 = 0

0 + 8x = 62 + 10

8x = 62 + 10


Combine like terms: 62 + 10 = 72

8x = 72


Divide each side by '8'.

x = 9


Simplifying

x = 9

3 0
3 years ago
What is the solution for x in the equation? <br>-x + 3/7 = 2x -25/7<br>​
Harlamova29_29 [7]

Answer:

x = 4 /3

Decimal Form:

x =  1. 33333 (repeating)

Mixed Number Form:

x =  1  1 /3

Step-by-step explanation:

4 0
3 years ago
What is the area of a figure that is formed using a parallelogram with base 5.2 meters and height 3 meters, and a semicircle wit
S_A_V [24]

Answer:

40.7m^2

Step-by-step explanation:

Base×Height= 5.2m×3=15.6m2

Area of semicircle= Pie r^2= Pie×4^2=16×pie

pie×16÷2=8×pie

8×3.14=25.12m2

15.6m2+25.12m2=40.72m2

rounded to nearest tenth=40.7m2

8 0
3 years ago
Read 2 more answers
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