Answer:
180.975 square feet
Step-by-step explanation:
est: 181 square feet
Hi there!
x=8
<u><em>1.Subtract the answer with the 3 / subtract the terms:</em></u>
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<u><em>2.Divide the two terms:</em></u>
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Therefore, x=8
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Answer:
f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial.
Step-by-step explanation:
The set of all polynomials is <em>closed</em> under addition, subtraction, and <em>multiplication</em>, because performing any of these operations on a pair of polynomials will give a polynomial result.
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<em>Comment on the question</em>
The wording is a bit strange, because f(x) and g(x) are elements of a set (of polynomials), so cannot be said to be "closed." "Closed" is a property of a set with respect to some function, it is not a property of an element of the set.
Answer:
(26,
)
Step-by-step explanation:
Hi there!
We are given the coordinates (26, 56) and (26, 1)
We want to find the midpoint of these two points
The midpoint can be found using the formula
, where
&
are points
We have 2 points, which is what we need to find the midpoint, but let's label the values of the points to avoid confusion and mistakes when actually calculating

Now substitute these values into the formula.


Add the numbers together

Divide
(26,
)
Hope this helps!
This is a problem of Permutations. We have 3 cases depending on the number of B's. Since no more than three B's can be used we can use either one, two or three B's at a time.
Case 1: Five A's and One B
Total number of letters = 6
Total number of words possible = 
Case 2: Five A's and Two B's
Total number of letters = 7
Total number of words possible = 
Case 3: Five A's and Three B's
Total number of letters = 8
Total number of words possible = 
Total number of possible words will be the sum of all three cases.
Therefore, the total number of words that can be written using exactly five A's and no more than three B's (and no other letters) are 6 + 21 + 56 = 83