A negative slope goes down and a positive slope goes up
Answer:
Step-by-step explanation:
The given quadratic equation is expressed as
(x + 3)² = 69
(x + 3)(x + 3) = 69
x² + 3x + 3x = 69
x² + 6x - 69 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = 6
c = - 69
Therefore,
x = [- 6 ± √(6² - 4 × 1 × - 69)]/2 × 1
x = [- 6 ± √(36 + 276)]/2
x = [- 6 ± √312]/2
x = (- 6 + 17.7)/2 or x = (- 6 - 17.7)/2
x = 11.7/2 or x = -23.7/2
x = 5.85 or x= - 11.85
Answer:
The 97% confidence interval would be from 108 to 165.
Step-by-step explanation:
Since the 78% confidence interval is from 87 to 133, to determine what the 97% confidence interval would be, the following calculations must be performed:
78 = 87
97 = X
97 x 87/78 = X
8.439 / 78 = X
108.19 = X
78 = 133
97 = X
97 x 133/78 = X
12.901 / 78 = X
165.39 = X
Thus, the 97% confidence interval would be from 108 to 165.
Answer:
n = -18/7
Step-by-step explanation:
Represent the number with n.
Then:
n - 6 = -6(n + 4)
Performing the indicated multiplication, we get:
n - 6 = -6n - 24
Combining like terms results in 7n = -18, so n = -18/7
ANSWER
EXPLANATION
We use the sine rule to obtain,
We multiply both sides by 4 to obtain,
We take the inverse sine of both sides to get,
to the nearest tenth.