Question 2 Find the slope between the two points: (3, 20) and (5.8)
2 answers:
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Answer: OPTION B.
Step-by-step explanation:
Given the following System of equations:
You can use the Elimination Method to solve it. The steps are:
1. You can mutliply the second equation by -3.
2. Then you must add the equations.
3. Solve for the variable "y".
Then:
4. Now that you know the value of the variable "y", you must substitute it into any original equation.
5. The final step is to solve for "x" in order to find its value.
Then:
Therefore, the solution is:
<h2>Hello!</h2>
The answer is: The first graphic representation.
<h2>Why?</h2>We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.
Let's make the equation equal to 0 in order to find the values of "t"
So, discarding the negative value, we can use the possitive value to find the correct graphic representation.
To find the correct graphic representation we must take into consideration the following:
- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.
From the given quadratic (or parabola) equation we have:
So, since the coefficient of the quadratic term is negative, the parabola opens downward.
- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)
- We are looking for a parabola which y-axis intercept is equal to 150.
Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.
Have a nice day!