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3 years ago

15 POINTS! See image:

Mathematics

1 answer:

viktelen [127]3 years ago

4 0

Answer:

Step-by-step explanation:

Remark

If x - 2 is a factor it means that the whole equation will return 0 when x = 2. That's because x - 2 will go to 0. It doesn't matter what the rest of the equation factors into. The x - 2 is enough to make it all go to 0.

Equation

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

Substitute and Solve

x = 2

y = 2^4 - 3*2^3 + 2(3) - 8

y = 16 - 24 + 6 - 8

y = - 8 - 2

y = - 10

Conclusion

x - 2 is not a factor of this equation.

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Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where th

nikklg [1K]

I assume you mean -x^3 + 4x + 3
so what you need is 4x + 3 > x^3
the only whole number it could be is 2 because 2x2x2 +3 > 2x2x2

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3 years ago

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The circle below is centered at the point (3, 1) and has a radits of length 2.

Kruka [31]

Answer:

Step-by-step explanation:

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3 years ago

The vertices of ∆ABC are A(2, 8), B(16, 2), and C(6, 2). what is the perimeter and area in square units

ad-work [718]

Check the picture below.

the triangle has that base and that height, recall that A = 1/2 bh.

now as for the perimeter, you can pretty much count the units off the grid for the segment CB, so let's just find the lengths of AC and AB,

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&A&(~ 2 &,& 8~) 
% (c,d)
&C&(~ 6 &,& 2~)
\end{array}~~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AC=\sqrt{(6-2)^2+(2-8)^2}\implies AC=\sqrt{4^2+(-6)^2}
\\\\\\
AC=\sqrt{16+36}\implies AC=\sqrt{52}\implies AC=\sqrt{4\cdot 13}
\\\\\\
AC=\sqrt{2^2\cdot 13}\implies AC=2\sqrt{13}$

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&A&(~ 2 &,& 8~) 
% (c,d)
&B&(~ 16 &,& 2~)
\end{array}\\\\\\
AB=\sqrt{(16-2)^2+(2-8)^2}\implies AB=\sqrt{14^2+(-6)^2}
\\\\\\
AB=\sqrt{196+36}\implies AB=\sqrt{232}\implies AB=\sqrt{4\cdot 58}
\\\\\\
AB=\sqrt{2^2\cdot 58}\implies AB=2\sqrt{58}$

so, add AC + AB + CB, and that's the perimeter of the triangle.

8 0

3 years ago

Here are 9 members on a board of directors. if they must elect a chairperson, a secretary, and a treasurer, how many different s

padilas [110]

Slot A = chairperson position
Slot B = secretary position
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There are 9 choices for slot A. After picking that person, there are 8 choices for slot B. Then 7 choices for slot C

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Answer: 504

Note: order matters so this is a permutation. You can use the nPr permutation formula with n = 9 and r = 3 to get the same answer

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sertanlavr [38]

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