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ludmilkaskok [199]
3 years ago
5

Lin solved the equation 8(x-3)+7=2x(4-17) incorrectly. Find the errors in her solution. What should her answer have been?

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer: The correr solution is x=\frac{17}{34}

Step-by-step explanation:

Since the steps in Lin's solution are not shown, we are not able to find her erros. However, we can solve it step by step and find the correct result:

8(x-3)+7=2x(4-17)

Firstly, in the left part of the equation we have to multiply 8 by the numbers inside the parenthesis; and in the right side we have to solve first what is inside the parenthesis:

8x-24+7=2x(-13)

Adding similar terms in the left side and multiplying 2x by the number inside the parenthesis in the right side:

8x-17=-26 x

Isolating x:

x=\frac{17}{34} This is the correct solution

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Find the axis of symmetry of the graph of the function. (5 points) f(x) = 3x2 + 12x + 9
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Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

<h3>Axis of symmetry</h3>

An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.

In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.

That is, in a quadratic function that has the form:

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the axis of symmetry is a vertical line and it is defined as x=\frac{-b}{2a}.

<h3>Axis of symmetry of f(x) = 3x² + 12x + 9</h3>

In this case, you know:

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Replacing in the definition of axis of symmetry:

x=\frac{-12}{2x3}

Solving:

x=\frac{-12}{6}

<u><em>x= -2</em></u>

Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

Learn more about axis of symmetry:

brainly.com/question/24737967

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