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Shkiper50 [21]
3 years ago
13

Does anyone know the answer to these two problems?

Mathematics
1 answer:
Nady [450]3 years ago
8 0

Answer:

8) -8, -9

9) 4, $ \frac{1}{2} $

Step-by-step explanation:

8) x² + 12x + 27

Solutions of a polynomial means the values of $ x $ such that the polynomial becomes zero. $ i.e., y = 0 $.

We use the following formula to determine the solutions of a quadratic equation of the form: $ ax^2 + bx + c = 0 $

    $ \implies x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $

In this equation, $ a = 1; b = 12; c = 27 $

Substituting in the formula, we have:

$ x = \frac{-12 \pm \sqrt{144 - 108}}{2} $

$ \implies x = \frac{-12 \pm 6}{2} $

Taking 2 common outside we get:

$ x = - 6 \pm 3 $

Therefore, we get two solutions viz, x = -3, -9.

9) 2x² - 9x + 4 = y

X- intercepts of a polynomial means the value of x such that y = 0. It means the roots of the polynomial.

Solving the equation using the formula above, we get:

$ x = \frac{-(-9) \pm \sqrt{81 - 32}}{2(2)} $

$ \implies x = \frac{9 \pm 7}{4} $

The values of x = 4, $ \frac{1}{2} $.

Hence, the answer.

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The answer is Negative 4, -4

Step-by-step explanation:

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At a local election there were two propositions on the ballot, R and S. Twice as many voters voted "yes" for R as for S. If the
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Answer:

c. 130

Step-by-step explanation:

Let call B the quantity of voters who voted yes for both propositions.

From the question we know that twice as many voters voted "yes" for R as for S, that can be written as the following equation:

R+B=2(S+B)

Where R is the number who voted "yes" for R but "no2 for S and S is the number who voted "yes" for S but "no" for R.

Replacing R by 750 and S by 310 and solving for B, we get:

750+B=2(310+B)

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7 0
3 years ago
Quadratic equation
Murrr4er [49]

Answer:

<h2>            46</h2>

Step-by-step explanation:

x          -  age of a son three years ago

3x        -  age of a father three years ago

x + 3      -  age of the son now

3x + 3       -  age of the father now

x + 3 + 5       -  age of the son in five years time

3x + 3 + 5       -  age of the father in five years time

in five years time, the father will be twice as old as his son, so:

3x + 3 + 5 = 2(x + 3 + 5)

3x + 8 = 2x + 16

3x - 2x = 16 - 8

  x = 8

x + 3 + 4       -  age of the son in four years time

8 + 3 + 4 = 15

3x + 3 + 4       -  age of the father in four years time

3×8 + 3 + 4 = 31    

the sum of their ages in four years time:

15 + 31 = 46

8 0
3 years ago
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