Answer:
Step-by-step explanation:
<u>Let the number be x, and we have equation:</u>
- 16x + 2 = -7x - 21
- 16x + 7x = - 21 - 2
- 23x = - 23
- x = -1
The number is -1
Answer:
t = 1.94 seconds
Step-by-step explanation:
we have to solve the following polynomial equation:
-16t² + 60 = 0
16t² = 60
t² = 60/16 = 3.75
t = √3.75 = 1.936491673 seconds
the equation also has another possible answer = -1.936491673 seconds, but since time cannot be negative, we have to dismiss that option
Answer:
see explanation
Step-by-step explanation:
h(x) + k(x) = x² + 1 + x - 2 = x² + x - 1
(h + k)(2) = 2² + 2 - 1 = 4 + 2 - 1 = 5
h(x) - k(x) = x² + 1 - (x - 2) = x² + 1 - x + 2 = x² -x + 3
(h - k)(3) = 3² - 3 + 3 = 9 - 3 + 3 = 9
h(2) = 2² + 1 = 4 + 1 = 5
k(3) = 3 - 2 = 1
3h(2) + 2k(3) = (3 × 5) + (2 × 1) = 15 + 2 = 17
Answer:
D. Protestant do not believe in the pope's authority.
Step-by-step explanation:
The most fundamental difference is that Protestants believe that everyone can directly communicate with God and the only authority is scripture, while Catholics believe that, in addition to everything else, there is also the authority of the church as a mediator between God and flock.
