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hichkok12 [17]
3 years ago
14

The number 87 is NOT an element of which set?

Mathematics
1 answer:
lord [1]3 years ago
7 0

Answer:

C. Irrational numbers.

Step-by-step explanation:

87 is a whole number , an integer and a counting number

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  B.  x ≈ 13/8

Step-by-step explanation:

We assume that one iteration consists of determining the midpoint of the interval known to contain the root.

The graph shows the functions intersect between x=1 and x=2, hence our first guess is x = 3/2.

Evaluation of the difference between the left side expression and the right side expression for x = 3/2 shows that difference to be negative, so we can narrow the interval to (3/2, 2). Our 2nd guess is the midpoint of this interval, so is x = 7/4.

Evaluation of the difference between the left side expression and the right side expression for x = 3/4 shows that difference to be positive, so we can narrow the interval to (3/2, 7/4). Our 3rd guess is the midpoint of this interval, so is x = 13/8.

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The sign of the difference at this value of x is still negative, so the next guess would be 27/16. It is a little hard to tell what the question means by "3 iterations." Evaluating the function for x=13/8 will be the third evaluation, so the determination that x=27/16 will be the next guess might be considered to be the result of the 3rd iteration.

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Solve the system of linear equations. separate the x- and y- values with a coma. -8x=72-16y
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Let's use the "elimination by addition/subtraction" method to solve this system for x and y.

<span> -8x=72-16y             
4x=-92+16y        <= Mult. all 3 terms by 2:          8x = - 184 + 32y

Now combine the following, column by column:

</span><span> -8x=       72-16y
</span>8x = - 184 + 32y
-----------------------
   0 = -112 + 16y.  Solving for y, 16y = 112, and y = 7.

Now subst. 7 for y in either of the original equations and calculate x:

<span>4x=-92+16(7)   =>   4x = -92 + 112  =  20.  Then x = 5.

Solution is 5, -7   (or, better written) (5, - 7).</span>
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