Answer:
vertex at (1, -3)
Step-by-step explanation:
When x = 0
y² + 6y + 1 = 0
y² + 6y + = -1
y² + 6y + 9 = -1 + 9
(y + 3)² = 8 or (-y - 3)² = 8
y + 3 = √8 or -y - 3 = √8
y = - 3 +√8 or y = -3 - √8
(0, - 3 +√8) and (0, -3 - √8)
The mid point between these two is the average
y = ( - 3 + √8 + -3 - √8) / 2 = - 3
y² + 6y + 8x + 1 = 0
(-3)² + 6(-3) + 8x + 1 = 0
9 - 18 + 1 = -8x
- 8 = -8x
x = 1
Answer:
Statisticians use z-scores to divide the area under a curve the way people use a knife to cut pizza.
Step-by-step explanation:
Statisticians use z-scores to divide the area under a curve the way people use a knife to cut pizza.
z-score:
- A z-score is a numerical measurement which is measured in terms of standard deviations from the mean.
- Formula:
- If a z-score is 0, it tells that the data point is same as the mean.
- Area under the normal curve is 1.
Answer:
a.) -1 < x < 5
b.) x <= 1
Step-by-step explanation: Domain is the independent variable (x).
For both question a and b, make sure that the number under the square root does not end up being negative. And the denominator of the fractional number is not equal to zero when variable x is being substituted for any value.
a.) y = √ x + 1 /√ 25 − x^2
Domain : -1 < x < 5
That is the minimum value for x is 0 and the maximum value is 4
b. f(x) = (√ 1 − x ) ln x
Domain : x <= 1
That is, x is less than or equal to 1
The maximum value for x is 1. x can be
1, 0, -1, -2, -3, ..........
