Is this equation infinity many solution 5c+9=5c-12

2 answers:

7 0

Answer: No solution

When an equation has infinitely many solutions, it is the exact same equation on both sides. For example, for this to be infinitely many, it would have to be:

5c+9=5x+9

This would be infinitely many, because it would be the same line plotted twice, so it would have an infinite amount of intersecting points.

This also cannot be one solution, because they have the same slope. When an equation has the same slope, it can either be infinitely many solutions or one solution. We already explained why this is not infinitely many, but it is also not one solution. If plotted, these points could never intersect. For this to be one solution, it would have to be:

5c+9=4c-12

This means the equation has no solution. It will never intersect. Let’s prove this by solving:

5c+9=5c-12

*subtract 5c on both sides*

9=-12

Since this is not true and 9 does not equal -12, there is no solution

Hope this helps comment below for more questions :)

MatroZZZ [7]3 years ago

3 0

Answer:

The answer is no solution.

Step-by-step explanation: First, you would add + 12 to both sides of the equation so that you would have 5c + 21 = 5c. Then, you would subtract 5c from both sides of the equation. This would leave you with 21 = 0. Since this is not true, the equation would have no solution.

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Find the axis of symmetry of the graph of the function. (5 points) f(x) = 3x2 + 12x + 9

Kryger [21]

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:

f(x)= ax² + bx + c

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