10. What is the mean of the data? 186, 181, 176, 149, 184, 190, 158, 139, 175, 111
1 answer:
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Answer:
<em>The coefficient of the squared expression in the parabolas equation will be 5.</em>
Step-by-step explanation:
<u>The vertex form of parabola</u> is: , where
is the vertex point and
is the coefficient of
term.
The vertex is given as . That means,
and
So, the vertex form will be:
Given that, when the x-value is 4, the y-value is 3. So, plugging these values into the above equation, we will get.....
Thus, the coefficient of the squared expression in the parabolas equation will be 5.
9514 1404 393
Answer:
- no square roots: -1000, -8
- one square root: 0
- two square roots: 8, 64, 1000
- no cube roots: <none>
- one cube root: -1000, -8, 0, 8, 64, 1000
- two cube roots: <none>
Step-by-step explanation:
The attached graph shows the square root relation (red) and the cube root function (blue). The function values are shown for x=0 and x=±8.
You can see that there are 2 square roots for positive numbers, one square root for 0, and 0 square roots for negative numbers. There is exactly 1 cube root for any number.
- no square roots: -1000, -8
- one square root: 0
- two square roots: 8, 64, 1000
- no cube roots: <none>
- one cube root: -1000, -8, 0, 8, 64, 1000
- two cube roots: <none>
_____
<em>Additional comment</em>
We call the square root curve a "relation" because it is <em>not a function</em>. A relation that is a function will have only one y-value for each x-value. For positive x-values, there are two square roots.
