Answer:
Minimum at (-4, -10)
Step-by-step explanation:
x² + 8x + 6
The coefficient of x² is positive, so the parabola opens upward, and the vertex is a minimum.
Subtract the constant from each side
x² + 8x = -6
Square half the coefficient of x
(8/2)² = 4² = 16
Add it to each side of the equation
x² + 8x + 16 = 10
Write the left-hand side as the square of a binomial
(x + 4)² = 10
Subtract 10 from each side of the equation
(x+ 4)² -10 = 0
This is the vertex form of the parabola:
(x - h)² + k = 0,
where (h, k) is the vertex.
h = -4 and k = -10, so the vertex is at (-4, -10).
The Figure below shows your parabola with a minimum at (-4, -10).
Answer:
C. 6 ft
Step-by-step explanation:
If Marvin's son is 3 feet tall with a 1 foot shadow, Marvin would be 6 feet tall with a 2 foot shadow.
Answer: because he might be getting groceries and gas and other things
Step-by-step explanation:
The answer is b because the slope is 2 and the y intercept is 9
Answer:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of 
.
The margin of error is of:
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.
This means that 
95% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
Margin of error:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
