<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.
<span>k+12/k=8
Multiply k to remove the k in one side
</span><span>(k+12/k=8) (k)
</span>Therefore,
k^2+12k-8k=0
Thus,
The equations he must solved now is k^2-8+12=0
Answer:
C. 4
Step-by-step explanation:
<u>Use the slope formula:</u>

m = the slope.
<u>Substitute the values into the formula:</u>

<u>Solve:</u>

<u>Simplify 16/4:</u>

Answer:the answer to your question is 6 feet Im pretty sure
Step-by-step explanation: so if it is a 15 foot board and it is at a 40 degree angle you have to multiply 4 by 1.5 to get your answer. Hope this helps.
Answer:
x = 50°
Step-by-step explanation:
the sum of the exterior angles of any polygon is 360°
2x-12 + 32 + 2x + x + 90 = 360
5x + 110 = 360
5x = 250
x = 50