Answer: y= (x+2)² −
5
Step-by-step explanation:
The way I got this answer is by completing the square. The first step though, when looking at this equation, is to see if we can factor it. The way to check is to look at the coefficient for x² which is 1, and the constant, in this case -1. If we multiply those together, we get −. Now we look at the middle term, 4x. We need to find any numbers that multiply to equal − 1x² and add to 4x. There aren't any, which means it is not factorable.
Hope I helped
From the figure, the vertices of the given triangle are
(-3,4), (1,3) and (5,5).
The given transformation is (x,y) -> (x+3, y-2).
Therefore the coordinates of the transformed triangle are
(-3+3,4-2), (1+3,3-2), (5+3,5-2) = (0,2), (4,1), (8,3)
The transformed triangle is shown in red color.
Answer:
(1,4)
Step-by-step explanation:
First, let’s begin with part A of the question. To find the mean, we must find the average of Rolinda’s test scores by adding them all together and then dividing the sum by 5 (the number of test scores). This is shown below:
(85 + 85 + 60 + 62 + 59) / 5
351/5
70.2
Therefore, the mean of Rolinda’s test scores is 70.2.
Next, we should find the median, or the middle number of the sequence after we order the numbers from smallest to largest. This is shown below:
59, 60, 62, 85, 85
Since 62 is the middlemost number in the list, the median is 62.
Finally, we must find the mode, or the most common number in the list. Since 85 is the only number that occurs more than once, we know that the mode is 85.
Next, we move on to Part B. The measure that supports Rolinda’s claim that she is doing well in her Spanish class is the mode, because it is the highest measure out of the three.
The answer to Part C is as follows: This is misleading because the mode is not an accurate representation of all of Rolinda’s test scores and the range that they cover, it only represents Rolinda’s highest score, which she happened to score twice.
Hope this helps!
