14. The two-way table shows whether the 576
1 answer:
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<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!
Factorization is a method of writing numbers as the product of their factors or divisors.
<em><u>Solution:</u></em>
<em><u>Factorisation:</u></em>
Factorization is a method of writing numbers as the product of their factors or divisors.
In other words we can say, Finding what to multiply together to get an expression.
It is like "splitting" an expression into a multiplication of simpler expressions.
<em><u>Methods of factorisation:</u></em>
- Factoring out the GCF
- The sum-product pattern
- The grouping method
- The perfect square trinomial pattern
- The difference of squares pattern
<em><u>Factoring out the GCF:</u></em>
This methods means that factoring out common factors
For example:
This can be used when each term in given expression shares a common factor
<em><u>The sum-product pattern</u></em>
A quadratic equation may be expressed as a product of two binomials
For example:
This method can be used for quadratic equations of form
<em><u>The grouping method</u></em>
If the polynomial is of the form and there are factors of ac that add up to b , we can use this method
For example:
<em><u>The perfect square trinomial pattern</u></em>
If the first and last terms are perfect squares and the middle term is twice the product of their square roots , we can use this method
For example:
<em><u>The difference of squares pattern</u></em>
If the expression represents a difference of squares, we can use this method
Because
For example: