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Leokris [45]
3 years ago
5

Help ? I need steps on how to do this

Mathematics
1 answer:
Furkat [3]3 years ago
8 0

<em>Answer</em><em> </em><em>:</em><em>-</em><em> </em>

<em>the</em><em> </em><em>quoti</em><em>ent</em><em> </em><em>is</em><em> </em><em>(</em><em> </em><em>4</em><em>x</em><em>²</em><em> </em><em>-</em><em> </em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>7</em><em> </em><em>)</em>

Step-by-step explanation:

[ Refer to the attachment for steps ]

  • We have to eliminate the highest degree coefficient in each step.

  • And as in division of normal numbers we subtract the things here we do the same ,

but while subtracting we have to take care about the signs !

  • The negative sign changes the negative sign into positive sign and positive sign into negative sign.

  • Whereas , a positive sign don't changes the sign.

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Which of the following equations is equivalent to x - y = 5?
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Read 2 more answers
Consider the quadratic function f(x)=−x^2+x+30
yaroslaw [1]

Answer:

The smallest xx-intercept is x = -5

The largest xx-intercept is x = 6

The yy-intercept is y = 30.

Step-by-step explanation:

Given a quadratic function in the following format:

f(x) = ax^{2} + bx + c = 0, a \neq 0

The x-values of the x-intercepts are x_{1}, x_{2}, given by the following formulas.

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

We have that:

f(x) = -x^{2} + x + 30

This is not in the format above. I will multiply by (-1), so we have:

f(x) = x^{2} - x - 30

So, a = 1, b = -1, c = -30

\bigtriangleup = b^{2} - 4ac = (-1)^{2} - 4*(1)*(-30) = 1 + 120 = 121

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a} = \frac{-(-1) + \sqrt{121}}{2(1)} = \frac{12}{2} = 6

x_{2} = \frac{-b + \sqrt{\bigtriangleup}}{2*a} = \frac{-(-1) - \sqrt{121}}{2(1)} = \frac{-10}{2} = -5

This means that

The smallest xx-intercept is x = -5

The largest xx-intercept is x = 6

The y-intercept is the value of f(x) when x = 0. So

f(x)=−x^{2}+x+30

f(0) = 30

The yy-intercept is y = 30.

5 0
3 years ago
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