<h3>
Answer: -2</h3>
===============================================
Explanation:
We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).
Comparing x+1 to x-k shows that k = -1
It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.
Plug this k value into the function
f(x) = 2x^6 + 3x^5 - 1
f(-1) = 2(-1)^2 + 3(-1)^5 - 1
f(-1) = 2(1) + 3(-1) - 1
f(-1) = 2 - 3 - 1
f(-1) = -1 - 1
f(-1) =-2
The remainder is -2
We can confirm this through synthetic division or polynomial long division.
Answer:
16/25
Step-by-step explanation:
Given
Number of green marbles = 9
Number of White marbles = 17
Total number of marbles = 26
Probability of picking a white marble = 17/26
When a white marble is picked without replacement,
Probability of picking another white marble after first picking a white marble
= 16/25
= 0.64
This is because the total number of marbles would have reduced from 26 to 25 and the number of white marbles from 17 to 16.
Answer: 7 hours left!
Step-by-step explanation:
She had used up 12 hours and 45 minutes. 7 hours and 15 minutes left, but if you're including the minutes, then it's 7 hours and 15 minutes. Good luck! :D
Answer:
5
Step-by-step explanation:
Answer:
no, it is not
if it were a right triangle, 10² + 17² = 18²
but this is not the case
Step-by-step explanation:
we would use Pythagoras theorem to determine if it is a right angle
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 17² =
100 + 289 = 389
square root of 389 is 19.72 and not 18. thus, it is not a right triangle
