<h3>
Answer: -2</h3>
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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:
- 14 coins of 5p
- 11 coins of 20p
Step-by-step explanation:
<u>Given</u>
- 5p coins = x
- 20p coins = y
- Total = 2.90 = 290 p
- Number of coins = 25
<u>Equations</u>
- x + y = 25
- 5x + 20y = 290 ⇒ x + 4y = 58
<u>Consider the first equation in the second one</u>
- x + y + 3y = 58
- 25 + 3y = 58
- 3y = 33
- y = 11
<u>Then x is</u>
<u>Answer</u>
- 14 off 5p coins and 11 off 20p coins
Answer:
2 11/12 or 35/12
Step-by-step explanation:
The answer would be <span>-10.125</span>
Step-by-step explanation:
