Step-by-step explanation:
2πrh+2πr²=surface area
2π(3)(6)+2π(3²)
36π+18π
54π
First you need to turn 9.5% into a decimal so you need to move the dot " . " over to the left two times 9.5 ---> .95 ---> .095
Now that you turned the % into a decimal all thats left to do is multiply .095 by $97.95
$97.95 * .095= $9.30525 or $9.31
So the tax is $91.31
1/9
Here's the proper explanation:
Since the vertex is (2,-1), the original equation will look like this: y=a*(x-2)^2-1
When the substitution happens we get to this:
0=a*(5-2)^2-1 then 1=a*(5-2)^2 -> 1=a*9
So, a=1/9! Written in another form:
1/9x^2-4/9x+4/9-1
Hope could help :)
Answer:
y = -1/8 x² + 5
Step-by-step explanation:
Parabola opens vertically and vertex (h,k) = (0,5), pass point (4,3)
basic formula: y = a(x - h)² + k
y = a (x-0)² + 5
y = ax² + 5 pass (4,3)
3 = 16a + 5
a = (3-5)/16 = -1/8
equation: y = -1/8 x² + 5
check: pass another point (-4,3)
-1/8 * (-4)² + 5 = -2 + 5 = 3