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defon
1 year ago
6

Simplify: 11y-110/50-5y

Mathematics
1 answer:
alexandr1967 [171]1 year ago
7 0
<h2>Answer:</h2>\frac{11y-110}{50-5y}=-\frac{11}{5}

<h2>Explanations:</h2>

Given the following expression show below;

\frac{11y-110}{50-5y}

Factor out the GCF from both the numerator and denominator

\frac{11(y-10)}{5(10-y)}

This can also be expressed as;

\begin{gathered} \frac{11(-10+y)}{5(10-y)} \\ \frac{-11(10-y)}{5(10-y)} \end{gathered}

Cancel out the common expression

\frac{-11\cancel{(10-y)}}{5\cancel{(10-y)}}=-\frac{11}{5}

Hence the simplified form of the expression is -11/5

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Find all the zeros for each function P(x)=x^4-4x^3-x^2+20x-20
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Answer:

The zeros of the given polynomial function are

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Step-by-step explanation:

Given polynomial is P(x)=x^4-4x^3-x^2+20x-20

To find the zeros equate the given polynomial to zero

ie., P(x)=0

P(x)=x^4-4x^3-x^2+20x-20=0

By using synthetic division we can solve the polynomial:

2_|   1     -4     -1      20      -20

       0      2     -4     -10       20

   _____________________

       1     -2      -5      10      |_0

Therefore x-2=0

x=2 is a zero of P(x)

Now we can write the cubic equation as below:

x^3-2x^2-5x+10=0

Again using synthetic division

2_|   1     -2     -5     10      

       0      2      0    -10    

    ______________

       1      0      -5     |_0

Therefore x-2=0

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x^=\pm\sqrt{5} is a zero of P(x)

Therefore the zeros are 2,2,\pm\sqrt{5}

8 0
3 years ago
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