Which equation is y = 6x2 + 12x – 10 rewritten in vertex form?
2 answers:
Answer:
Detailed steps:
Begin with the standard form you already know
The vertex form for a vertical parabola can be written as
and
(h,k) denotes the parabola's vertex
For this example the given equation is
To convert it into vertex form:
Collect like terms in x and move the constant to the other side
Next, factor the leading coefficient from the x-terms
Complete the square; be sure to add the same quantity to both sides so the equality holds
Now express the result as a perfect square trinomial
—→ this is the equation in vertex form
The vertex is the point
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Answer:
The correct selection is 1.
Step-by-step explanation:
The histogram indicates that
In the 5-10 age group, there are 7 students.
In the 11-13 age group, 5 students are represented.
In the 14-18 age category, 4 students are included.
This implies that the ages of 7 students fall within the 5-10 range, 5 students within the 11-13 range, and 4 students within the 14-18 range.
The total count in the dataset is
In options 3 and 4, the counts in the datasets are fewer than 16. Hence, options 3 and 4 are invalid.
Option 2 exclusively contains data within the 5-10 range, making it incorrect as well.
In option 1,
Class intervals elements frequency
5-10 5,6,7,8,9,10,10 7
11-13 11,11,12,12,13 5
14-18 14,14,15,16 4
Based on the above table, we can determine that data set 1 is represented in the provided histogram.
Thus, the answer is option 1.
Answer:
Two thirds of a straight angle is 120°
Explanation:
First, we define a straight angle:
A straight angle measures 180°
Now, we need to find two thirds of that straight angle
To compute the fraction, multiply the straight angle's measurement by
Thus:
of a straight angle =
degrees
Hope this helps:)