Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
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Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4
Option d is correct.
Step-by-step explanation:
We need to simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2.
Writing in mathematical form:

Solving:
Factorizing the numerator:

So simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4
Option d is correct.
Keywords: Simplifying Expressions
Learn more about Simplifying Expressions at:
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Answer:
s = 4·3^t
Step-by-step explanation:
After the first term, each term in the sequence is 3 times the previous one. This is a description of a geometric sequence. Here, the first term is 4, so the general term is ...
an = 4·3^n . . . . for n counting from 0
We can name the function "s" for "speed" and use "t" for the time in seconds. Then the equation is ...
s = 4·3^t
$54.80 is the correct answer