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leva [86]
3 years ago
14

Slope of (-7,-2) (9,4)

Mathematics
1 answer:
Olenka [21]3 years ago
4 0

Answer:

m= \frac{3}{8}

Step-by-step explanation:

1. Use the slope equation to solve the problem

\frac{y_{2} -y_{1}}{x_{2} -x_{1} }

2. Plug in your values into the equation.

\frac{4-(-2)}{9-(-7)}

3. Simplify the equation.

m= \frac{3}{8}

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Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33
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Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

y =-3x^2 + 12x - 33

Required

The true statement about the extreme value

First, write out the leading coefficient

Leading = -3

-3 < 0 means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

x = -\frac{b}{2a}

Where:

a= -3; b =12; c =-33

So, we have:

x = -\frac{12}{2 * -3}

x = -\frac{12}{-6}

x =2

Substitute x =2 in y =-3x^2 + 12x - 33

y = -3*2^2 + 12 * 2 - 33

y = -21

<em>Hence, the maximum is -21.</em>

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Step-by-step explanation:

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