Which geometric model using algebra tiles represents the factorization of x2 – 5x + 6? An algebra tile configuration. 4 tiles ar
e in the Factor 1 spot: 1 is labeled + x and 3 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 12 tiles are in the Product spot: 1 is labeled + x squared, 5 are labeled negative x, and 6 are labeled +. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled + x and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 11 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, and 6 are labeled +. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled + x and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 11 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, and 6 are labeled +.
2 answers:
Answer:
Step-by-step explanation:
The factorization of x² - 5x + 6 can be determined thinking critically about two numbers, that if we multiply those two numbers together it will result into a value of +6 and if we add those numbers together , we will have -5
The numbers are -3 and -2 ; if we multiply -3 and -2 , we have = 6
If we add -3 + (-2) ; we have,
-3-2 = -5
Now the factorization of
x² - 5x + 6 = 0 is as follows.
x² - 3x - 2x + 6
By factorization,
x(x - 3) - 2 (x - 3) = 0
(x - 2) or (x-3) = 0
Now, using An algebra tile configuration. The diagrammatic expression showing how an algebraic tile configuration should looks like can be found in the attached image below.
Hint:
Let represent ,
1 = x² tile
-5 = - x tiles
6 = 1 tiles
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I show an example below of what I mean.
In that diagram, the row and column mentioned intersect at 2.262 (which is approximate). This value then rounds to 2.26
<h3>Answer: 2.26</h3>
Answer:
37th percentile.
Step-by-step explanation:
We have been given a data set that represents the ages of 36 executives. We are asked to find the percentile that corresponds to an age of 41 years.
28, 29, 29, 32, 32, 33, 34, 34, 34, 34, 37, 37, 38, 41, 41, 42, 45, 45, 47, 47, 47, 48, 50, 51, 53, 56, 56, 56, 61, 61, 62, 63, 64, 64, 65, 66.
Let us count the number of data points below and at 41.
We can see that the number of data points at and below 41 is 13.
We will use percentile formula to solve our given problem.
Therefore, the percentile rank that corresponds to age of 41 years old is 37th percentile.