The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)
If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
Answer: Its factored form will be
Step-by-step explanation:
Since we have given that
So, we need to factor ,
Now,
Now, by hit and trial method, we put n=1,
So, n-1 is also factor of p(n).
Now,
So, its factored form will be
Known facts:
A line shaft rotating at 250 rpm, a grinder shaft that turns at 1200 rpm diameter of grinder pulley is 5 inches.
1. Proportion equation
350/1200 = 5/x
2. Cross multiply
1200*5=250*x
x=(1200*5)/250 = (24*50*5)/(5*50) = 24
The big wheel diameter is 24 inches
Answer:
Option C. is correct choice.
Step-by-step explanation:
Regards: Umer
Answer:
5/6
Step-by-step explanation:
20 divide by 2 is 10
24 divide by 2 is 12
then have 10/12
10 divide by 2 is 5
12 divide by 2 is 6
answer is 5/6