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polet [3.4K]
3 years ago
11

Write an equation to represent the following description.

Mathematics
1 answer:
Stella [2.4K]3 years ago
6 0

Answer:

ep on Sound→Cloud ↔ Search→MannyVibez on Sound↔Cloud.

Step-by-step explanation:

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One root of f(x) = 2x3 9x2 7x – 6 is –3. explain how to find the factors of the polynomial.
m_a_m_a [10]
<span>We have the following polynomial:

f(x)=2x^{3}+9x^{2}+7x-6

The problem states that one root is -3. Thus, it is true that (x+3) is a factor of the polynomial. Given that this is fulfilled, it is also true that:

</span>f(x)=(x+3)Q(x) \therefore Q(x)=\frac{f(x)}{x+3} \\ \\ where \ Q(x) \ has \ a \ degree \ of \ 2<span>

We can find Q(x) by applying Ruffini's rule, thus:

</span>\ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ 9 \ \ \ \ \ \ \ \ 7 \ \ \ \ \ \ -6  \\ -3 \\ \rule{50mm}{0.1mm} \\ \ {} \ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ 3 \ \ \ \ \ -2 \ \ \ \ \ \ \ \ 0<span>

Therefore:

Q(x)=2x^{2}+3x-2

The roots of this polynomial can be get as follows:

x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \rightarrow x_{12}=\frac{-3\pm\sqrt{3^2-4(2)(-2)}}{2(2)}\\x_{1}=\frac{1}{2};\ x_{2}=-2

These are the roots along with -3. Finally, the factored polynomial can be written as follows:

f(x)=(x+3)(x+2)(2x-1)</span>
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Which statement about a function is not true?
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Please help with geometry! 30 points
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Step-by-step explanation:

*****************here is the answer

area=28.61+12=40.61**************

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Which of the following rational functions is graphed below?
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Help i need the answer by 10am December 23
Sever21 [200]

Answer:

Simon:         55     hours

Alvin:           70     hours

Theodore:  <u>159</u>   hours

Total:         284  hours

Step-by-step explanation:

Let A, T, and S stand for the hours worked by Alvin, Simon, and Theodore.

We are told that:

A = S + 15,

T = 3S - 6

and

A + S + T = 284

Note that the first two equations state the value of A and T in terms of S.  Let's use them in the third equation, so that we'll have only one unknow:

A + S + T = 284

(S + 15) + S + (3S - 6) = 284

5S + 9 = 284

<em><u>S = 55</u></em>

Now use this value of S in the first two equations to find A and T:

A = S + 15

A = 55 + 15

<u><em>A = 70</em></u>

T = 3S - 6

T = 3*55 - 6

<em><u>T = 159</u></em>

<u></u>

<u>(55 + 70 + 159) = 284</u>

<u></u>

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3 years ago
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