Hello :
<span>g(x) = 5x² - 50x + 128
= 5(x²-10x +128/5)
= 5 (x²-10x+5²-5² +128/5)
= 5 ((x-5)² +128/5 -125/5)
y = 5 ((x-5)² - 3/5)
y= 5(x-5)² +3.....vertex form
the vertex is : (5,3)</span>
Answer:
The solution to the differential equation
y' = 1 + y²
is
y = tan x
Step-by-step explanation:
Given the differential equation
y' = 1 + y²
This can be written as
dy/dx = 1 + y²
Separate the variables
dy/(1 + y²) = dx
Integrate both sides
tan^(-1)y = x + c
y = tan(x+c)
Using the initial condition
y(0) = 0
0 = tan(0 + c)
tan c = 0
c = tan^(-1) 0 = 0
y = tan x
1200*8/10=960
You can predict that about 960 students participate in after school activities.
Hope this helps!
Answer:
Expanded Notation Form:
500,000 = 500,000 + 0 + 0 + 0 + 0 + 0
Expanded Factors Form:
500,000 = 5 × 100,000 + 0 × 10,000 + 0 × 1,000 + 0 × 100 + 0 × 10 + 0 × 1
Expanded Exponential Form:
500,000 = 5 × 10⁵ + 0 × 10⁴ + 0 × 10³ + 0 × 10² + 0 × 10¹ + 0 × 10⁰
Word Form:
500,000 = Five hundred thousand
Step-by-step explanation:
Because math says so..
Answer:
you would dance for 2 hours and 30 minutes or 150 minutes
Step-by-step explanation:
1 hour and 1/4 of an hour= 1 hour and 15 minutes and that times two =2 hours and 30 minutes = 150 minutes
have a nice day and stay safe