<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:
x = 3 , X = -3
In x 2 = 9 , you need to get rid of the power of 2 in order to isolate just x This involves finding the square root. √ x 2 = x However there are 2 possible answers to a square root, a positive or a negative answer. x = ± √ 9 x = ± 3
Answer:
57.65%
Step-by-step explanation:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((134 - 85) / 85) * 100 = 57.65 %
Factorize the numerator as a difference of squares:
Then if 
, the 
factors will cancel:
so the answer is B.
Answer:
Step-by-step explanation:
Given that in a rural area, only about 30% of the wells that are drilled find adequate water at a depth of 100 feet or less.
The sample size n = 80
no of wells less than 100 feet deep=27
Sample proportion = 
a) Create hypotheses as
(Right tailed test)
p difference 
Std error of p = 
b) Assumptions: Each trial is independent and np and nq >5
c) Z test can be used.
Z= p diff/std error = 
p value = 0.233
d) p value is the probability for which null hypothesis is false.
e) Conclusion: Since p >0.05 we accept null hypothesis
there is no statistical evidence which support the claim that more than 30% are drilled.
