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2 years ago

How many solutions can be found for the equation 12x + 8 = 12x + 8?

2 answers:

4 0

It is an infinite solution. It is this because if you subtract 12x on both sides, you get 8=8, causing an infinite solution equation.

tensa zangetsu [6.8K]2 years ago

3 0

Answer:

Option 4th is correct

Infinitely many solution

Step-by-step explanation:

Given the equation:

$12x +8 = 12x +8$

Subtraction property of equality states that you subtract the same number to both sides of an equation.

Subtract 12 x from both sides we have;

$12x +8-12x = 12x +8-12x$

Combine like terms;

$8 = 8$ True for all x.

⇒Infinitely many solutions can be found for the given equation.

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Answer:

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2 years ago

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2 years ago

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3 years ago

The graph of a quadratic function has a vertex at (5,3) and goes through the point (-1,-9). What is the equation of the function

kotegsom [21]

Answer:

$y=-\frac{1}{3} (x-5)^2+3$

Step-by-step explanation:

We are given the following;

Vertex of a quadratic function = (5,3)
A point where the function passes through (-1, -9)

Required to determine the equation of the function;

We need to know the vertex form of a quadratic function is;

$y=a(x-h)^2+k$ , where h and k correspond to the vertex (h,k)

Therefore, we can replace the variables h and k of the vertex in the equation;

That is;

$y=a(x-5)^2+3$

Then we use the equation and the point given to solve for a

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We get;

$-9=a(-1-5)^2+3\\-9 = a(36) + 3\\-9 - 3 = 36a\\-12 =36a \\a=-\frac{1}{3}$

Substituting the values of a, h and k in the equation, we get;

$y=-\frac{1}{3} (x-5)^2+3$

Thus, the equation of the function in the vertex form is $y=-\frac{1}{3} (x-5)^2+3$

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2 years ago