Answer:
-3
Step-by-step explanation:
The average rate of change is the slope of the line that connects the points of interest. At x=-6, the point is (-6, 8). At x=-5, the point is (-5, 5).
I find it easy to refer to the graph to see that the point at x=-5 is 3 units down and 1 unit to the right of the point at x=-6. So the slope of the connecting line is -3/1 = -3.
If you want to find the same result analytically, you can compute ...
... ∆y/∆x = (y2 -y1)/(x2 -x1)
... = (5 -8)/(-5 -(-6))
... = -3/1 = -3
Hello :
<span>an equation is : y - b = a(x - c) ... the point is : A ( c , b) and slope : a </span>
The length is two inches less than five times the width. This means
Length (L) = 5w - 2. (Does this make sense? You calculate 5 times the width and then minus 2)
Then we know the perimeter of a rectangle is 2(L+w) so
Perimeter = 2(5w-2 + w) = 2(6w-2) = 12w - 4 (so C and D are both correct because they are equal)
We check the other two options manually,
A: 2(5w-2)+2w = 10w-4+2w = 12w - 4 (so A is correct because it equals D which also equals C)
B: w+w+5w+5w-2 = 12w - 2 (which does not equal any of the other options)
So correct answers are A, C and D because they are all equal.
Answer: 3/4
Step-by-step explanation:
Remember, any number raised to the power of negative one is it's reciprocal:
(4/3)^-1 =
3/4
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