Step-by-step explanation:

-14x²-1≠0
x²≠ -1/14
Option C
-2n-24=-8(2n-4)
Multiply both sides by -1
2n+24=8(2n-4)
Distribute the right side
2n+24=16n-32
Subtract 2n from both sides
24=14n-32
Add 32 to both sides
56=14n
Divide 14 from both sides
n=4
Answer:
wht cube
Step-by-step explanation:
A number cube is rolled 120 times. The number 4 comes up 47 times.
We have to determine the experimental probability of rolling a 4.
The formula to evaluate probability of an event is given by:
Probability = 
So, Probability of rolling a 4 = 
= 
Now, we have to find the theoretical probability of rolling a 4.
Total number of outcomes of number cube = {1,2,3,4,5,6}
Probability of rolling a 4 = 
So, Option B is the correct answer.
The answer is: [D]: " 24 + 2w " .
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Explanation:
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Given: The formula for the Perimeter of a rectangle:
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P = 2L + 2w ;
in which:
P = perimeter ;
L = length = 12 units (given);
w = width = unknown;
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Find the perimeter, "P", in terms of "w" ; since "w" (width) is unknown; and considering the answer choices given; along with the information provided in the problem, we only have enough information to solve for the perimeter, "P", in terms of "w" ;
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So, given the formula/equation for the perimeter, "P" :
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P = 2L + 2w ; we know that: " L = 12 units " ;
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P = 2*12 + 2w = 24 + 2w ; which is: "Answer choice: [D]" .
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