What are the factors of x2 – 100?

Answer: 1/24

Step-by-step explanation:

You multiply the fraction of the first probability by the fraction of the second probability.

The spinner has 4 colors, the odds of it landing on blue is 1/4

The cube has 6 numbers, the odds of it landing on 4 is 1/6

1/4 * 1/6 = 1/24

Answer:

2

Step-by-step explanation:

You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.

However, I'll solve for the vertex of the given function.

Given

Vertex, V is of the form:

Where

and

Solving for h:

So:

Solving for k

Substitute 2.5 for x in

Hence:

The vertex is

The correct vertex for the function   is (2.5, 122.375).

The given function is .

To find the vertex of a quadratic function in the form , we can use the formula x = -b / (2a) to find the x-coordinate of the vertex.

In this case, the coefficient of is -9.5, the coefficient of x is 47.5, and there is no constant term.

Using the formula, we can find the x-coordinate of the vertex:

Now, substitute this x-coordinate back into the original function to find the y-coordinate:

Therefore, the correct vertex for the function   is (2.5, 122.375).

Micah's error might be related to incorrectly calculating the x-coordinate of the vertex or substituting the wrong value back into the function.

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Answer:

30, 150, and 150

Step-by-step explanation:

If you have two intersecting lines, there are going to be four angles that will all sum 360 degrees. The opposite angles will be identical. So, if you have one of the angles and it is 30 degrees, the opposite angle will be of 30 degrees as well. That adds 60 degrees, meaning that the remaining two angles will sum 300 degrees, and as they will also be identical, each will be of 150 degrees.