Answer:
Step-by-step explanation:
Answer:
7. a) slope = 5
7. b) slope = 1/2
8. slope = 1
Step-by-step explanation:
slope = rise/run
rise is the vertical change, run is the horizontal change
7. a)
Pick any two points on your line. (0,0) and (1,5) are easy to work with.
The vertical change between the two points is 5
The horizontal change between those points is 1
so slope = 5/1 = 5
7. b)
Again, you can use (0,0) as one of your points. The point (2,4) is good as the second.
slope = 4/2 = 1/2
8. We don't have a graph, but we are given two points to work with, (1,4) and (5,8). Use the formula given...
m = slope = (y2-y1) / (x2-x1)
= (8 - 4) / (5 - 1)
= 4/4
= 1
I hope that helped!
ANSWER:
Let the smallest integer = x
x + x + 1 = 3 ( x + 2 ) - 17
2x + 1 = 3x + 6 - 17
2x - 3x = 6 - 17 - 1
- x = - 12
x = 12
FINAL ANSWER:
Therefore, the smallest integer is 12.
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Answer:
A
Step-by-step explanation:
To understand this, we can look at the vertical & horizontal translations of a parabola of the form 
- A vertically translated parabola has the form
, where k is the vertical shift upward when k is positive and vertical shift downward when k is negative. - A horizontally translated parabola has the form
, where a is the horizontal shift rightward when a is positive and horizontal shift leftward when a is negative.
When we replace x of the original function with (x-1), we have 
. According to the rules, this means that the original function is shifted 1 unit right (horizontal shift).
Correct answer is A.
