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Sergeu [11.5K]
3 years ago
14

Subtract 15 and 4 , double the difference, and then add two-thirds

Mathematics
2 answers:
blondinia [14]3 years ago
6 0
(15-4) * 2 + 2/3 = 22.66
mrs_skeptik [129]3 years ago
3 0
15-4 = 11

11 x 2 = 22

22 + 2/3 = 68/3
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A square table has a perimeter of 20 feet. What is its area?
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25 feet squared :)

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What is the domain and range of the function y = 2x2 - 4x - 10?
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Answer:

Step-by-step explanation:

The domain of all polynomials is all real numbers.  To find the range, let's solve that quadratic for its vertex.  We will do this by completing the square.  To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out.  That gives us:

2(x^2-2x)=10

The second rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 2 (from the -2x).  Half of 2 is 1, and 1 squared is 1.  So we add 1 into the parenthesis on the left.  BUT we cannot ignore the 2 sitting out front of the parenthesis.  It is a multiplier.  That means that we didn't just add in a 1, we added in a 2 * 1 = 2.  So we add 2 to the right as well, giving us now:

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The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form.  Completing the square gives us a perfect square binomial on the left.

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2(x-1)^2=12

Now we move the 12 back over by subtracting and set the quadratic back to equal y:

2(x-1)^2-12=y

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3 years ago
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