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DedPeter [7]
2 years ago
13

Y-9=3/4(x+8) rewrite it in slope intercept form explain your answer.

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
5 0
Y+-9=3/4x+6 | y=mx+b m=slope b=y-intercept
divide -9÷-9
y=3/4x+6+-9
y=3/4x+-3
m=3/4
b=-3
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A quadratic equation is shown below:
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Answer:

Part A:

( 1.8333, -0.08333)

Part B:

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Step-by-step explanation:

The quadratic equation

3x^{2}-11x+10=0 has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

\frac{d}{dx}(3x^{2}-11x+10)=6x-11

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

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y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}

From the quadratic equation given;

a = 3, b = -11, c = 10

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6 0
3 years ago
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