Autism is a serious and lifelong disability that is characterized by a severely decreased ability to engage in communication and
1 answer:
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Answer:
Step-by-step explanation:
We have the function:
And we want to find x=d for which the minimum/maximum value will occur.
Notice that our function is a quadratic in factored form.
Remember that the minimum/maximum value always occurs at the vertex point.
And remember that the x-coordinate of the vertex is the axis of symmetry.
Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.
Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.
Our factors are <em>(x-2) </em>and <em>(x-1)</em>.
Therefore, our roots/zeros are <em>x=1, 2</em>.
So, the average of them are:
Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.
Alternative Method:
Of course, we can also expand to confirm our answer. So:
The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.
And the formula for the vertex is:
So, we will substitute <em>-3a</em> for <em>b</em> and <em>a</em> for <em>a</em>. This yields:
Confirming our answer.
Answer:
1. =
2. <
3. <
Step-by-step explanation:
Note: When comparing decimals you always place both decimals right above each other.
1 is equal to because once you put a 0 behind the 2.1 they are both the same.
2.10
2.1 <add 0 as space holder
2 is less than because they are both negative you are looking for which one is closest to zero.
-4.5 <add 0 as place holder
-4.25 <closest to zero
3 is less than because (pie) equals 3.141592654 which is less than 3.2.
3.141 <do not need to add whole decimal
3.2 <add two 0's as a placeholder