This is false, as the confidence level rises, the confidence interval will get larger because it is capturing a wider range of numbers to be confident the true value is contained within it
First we'll require the derivative (slope) function.
f'(x) = 6x + 1
Next evaluate the derivative function @ x = -2
f'(-2) = 6(-2) + 1
f'(-2) = -11
Thus the slope of the tangent line @ x = -2 is m = -11
Now we can use either y = mx + b or y - y1 = m(x - x1) to find the tangent equation.
y - 4 = -11(x - (-2))
y - 4 = -11(x + 2)
y - 4 = -11x - 22
y = -11x - 22 + 4
Thus
y = -11x - 18 or 11x + y + 18 = 0 is the equation of the required tangent.
Answer:
Step-by-step explanation:
<u>Negative four is at least six less than a number</u>
<u>Sum of a negative two & nine times a number is less than seventy nine</u>
- -2 + 9x < 79 ⇒ 9x < 81 ⇒ x < 9
<u>Combined inequality:</u>
Answer:
27
Step-by-step explanation:
1/4(n+8)-(6xB)
Answer:
(m + 7)(m + 5)
Step-by-step explanation:
Factor, find factors of m² & 35 that, when combined, will give 12m:
m² + 12m + 35
m 7
m 5
(m + 7)(m + 5) is your answer.
Check: Use the FOIL method to check.
(m)(m) = m²
(m)(5) = 5m
(7)(m) = 7m
(7)(5) = 35
Combine like terms:
m² + (5m + 7m) + 35 = m² + 12m + 35 √.