Hello :)
The first one would be a rotation because it was easily rotated upward , it looks like it was rotated maybe 90°, The second one would be translation because it is simply moved upward and moved slightly to the right without be resized, rotated, or anything. The third one would definitely be a reflection because it appears to be flipped across the x axis. The fourth one i'm not really sure but i'm going to guess it is a rotation because it is turned in a different direction from the original figure.
Answer:
14 points
Step-by-step explanation:
The second test Lee did was 13 points fewer than the first test, which was 91 points, so the second test's score is 91 - 13 = 78 points.
The third test had the score of 92, so this is the highest score, and the lowest score is the second one: 78 points.
The difference between Lee's highest and lowest scores is:
92 - 78 = 14 points
Answer:
1. (3x - 2)(x + 5).
2. 2(x + 4)(x - 2).
3. (2x - 9)(2x + 9).
Step-by-step explanation:
1. f(x) = 3x^2 +13x -10
Try to factor by the ac method:
3 * -10 = -30
We need 2 numbers whose product is -30 and whose sum is + 13.
They are -2 and +15, so we write:
3x^2 + 15x - 2x - 10 Factor by grouping:
= 3x(x + 5) - 2(x + 5)
= (3x - 2)(x + 5).
2. f(x) = 2x^2+4x-16
= 2(x^2 + 2x - 8)
Now we need 2 numbers whose product is -8 and whose sum is + 2.
They are +4 and -2. So:
= 2(x + 4)(x - 2).
3. 4x^2 - 81 This is the difference of 2 squares so the factors are:
(2x - 9)(2x + 9).
They are in agreement. All of the expressions provided are equivalent. Chris says that 14.6 percent of the world's oranges are grown in Florida. Then, Mary Beth says that 292 out of 2000 oranges are grown in Florida. If we compare the two, 292 is actually 14.6 percent of 2000. So they are saying the same thing. Allison says that 0.146 of the oranges are grown in Florida. 0.146 is actually 14.6 percent as a decimal, so if we change it back into a percent, she is saying that 14.6 percent of oranges are grown in Florida. Sound familiar? They are all in agreement.<span />
