Answer:
at y = 18 units
Step-by-step explanation:
An arch has the equation y=-2/81x^2+18. Find it’s maximum height
This is a parabolic function
Maximum at the vertex
x = -0/(2*(2/81)) = 0
max at y = 18 units
y = a(1-r)^×
source: https://mathbitsnotebook.com/Algebra2/Exponential/EXGrowthDecay.html
y = exponential decay
a = initial amount = 78000
r = decay rate = .03
x = number of time intervals = w
Error:
b = growth/ decay factor
b = 1+r for growth
b = 1-r for decay
x = w per the above information
Sarah did not account for either of these points when creating her equation.
Correct solution:
y = 78000 (1-.03)^w
I don't think i understand...
Answer:
b = 0.7w
Step-by-step explanation:
To make a shade of blue paint :
3 1/2 quarts of blue
5 quarts of white
3 1/2 α 5
7/2 = 5k
Where k is the proportionality constant
k = 7/2 ÷ 5
k = 7/2 * 1/5
k = 7/10
k = 0.7
To mix :
b quartz of blue with w quartz of white
b = kw
b = 0.7w