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)
Retention ratio = (net income - dividends) / net income
retention ratio = (20,000 - 6000) / 20000 = 14,000/20,000 = 0.7 = 70%
Answer:
You pay more for your lunch bill on Sunday
Step-by-step explanation:
You pay a total of $15.80 on Saturday and $16.27 on Sunday
Answer:
if it is multiple choice:
x=2
x=3
Step-by-step explanation:
Answer:
solution is given below
Step-by-step explanation:
A simple random sample size n = 250 . Of the 250 employed individuals surveyed,42 responded that they did work at home at least once per week.
Construct 99% confidence interval for population
For proportion : 42 / 250 = 1/10 = 0.16
Mean = 2.5 * sqrt [ 0.1 * 0.9 / 250]
= 2.5 * 0.01
= 0.47
Construction of hypothesis:
0.10 - 0.047 < p < 0.10 + 0.047