Step-by-step explanation:
2×9n=18n
2×-6=-12
52-12+18n= 38 +18n
2×7n=14n
8×2=16
14n+16
38+18n=14n+16
subtract 14n from 14n and 18n
38+4n=16
subtract 38 from 38 and 16
4n=-22
divide each side by 4
n= -5.5
Surface area = 2 pi (3x-2)^2 + 2 pi (3x -2) ( x + 3)
= 2 pi (9x^2 - 12x + 4 + 3x^2 + 7x - 6
= 2pi(12x^2 - 5x - 2)
Its D
Any times you see the phrase: "Rate of Change", or even sometimes just the word "Rate" think slope.
The word slope is just a fancy word that means the rate of change.
Rate of Change is just a fancy phrase meaning how much does something change over some amount of time.
So in this case our rate of change will have the units of inches per year.
Let's get to the problem at hand!
We'll need to find slope / the rate of change (the two are interchangeable with each other).
Let's go over the formula for slope:
m = (y2 - y1) / (x2 - x1)
First we will need to label each of the "coordinated points (the two numbers that go together in a pair)" with either (x1,y1) or (x2,y2).
A Giant Red Oak's diameter in 1965 was 248 inches. Keep in mind time is ALWAYS going to be X in rate of change problems (and most all problems for that matter).
(1965,248)
(X1,Y2)
(2005,251)
(X2,Y2)
Plug in the values into the equation!
m = (y2 - y1) / (x2 - x1)
m = (251 - 248) / (2005 - 1965)
m = (3) / (40)
Type that into a calculator to get a decimal value over 1.
m = 0.075 inches per 1 year.
Or...
m = 0.075in / 1 year
<span>Left & Right affect the h,
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).
1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. </span><span>shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. </span><span>vertical shrink by a factor of 1/3 → y =
|x|
4. </span><span>vertical stretch by a factor of 3
→ y = </span><span>3 |x|</span>
You just find out what the missing variable is by subtracting 88 from 107 on the first one. You do the same for the last too as-well, but just insert the numbers that they say.
Happy Friday!!
