B.
Let's simply look at each conjecture and determine if it's true or false.
A. 2n– 1 is odd if n is positive: Since n is an integer, 2n will
always be even. And an even number minus 1 is always odd. Doesn't matter
if n is positive or not. So this conjecture is true.
B. 2n– 1 is always even: Once again, 2n will always be even. So 2n-1 will always be odd. This conjecture is false.
C. 2n– 1 is odd if n is even: 2n is always even, so 2n-1 will always
be odd, regardless of what n is. So this conjecture is true.
D. 2n– 1 is always odd: 2n will always be even. So 2n-1 will always be odd. Once again, this conjecture is true.
Of the 4 conjectures above, only conjecture B is false. So the answer is B.
Answer:
No real solutions.
Step-by-step explanation:
x² + 6x + 10 = 0
a = 1
b = 6
c = 10
D = b² - 4ac = 6² - 4*1*10 = 36 - 40 = - 4
- 4 < 0,
so this equation has no real solutions.
Point W represents the y-intercept
Answer:
d. 690.1 units²
Step-by-step explanation:
1. You can use the Heron's formula to calculate the area of the triangle, which is:
Where:
2. Calculate 
:
3. Substitute values into the formula shown above and calculate the area, as following:
4. Therefore, the area is 690.1 units².
