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IRISSAK [1]
3 years ago
12

Find the pair of numbers whose sum is 46 and whose product is a maximum.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0
To solve this problem you must apply the proccedure shown below:

 1. Let's call:

 x the first number and and the other number 46-x

 2. Then, the product of both numbers is:

 y=x(46-x)

 3. When you apply the distributive property, you obtain:

 y=46x-x^2

 4. As you can see, the coefficient of x^2 is negative, this means that the maximun value is at the vertex of the parabola.

 5. Then, you have:

 h=-b/2a
 h=-46/2(-1)
 h=23   (x coordinate)

 6.Then:

  y=46x-x^2
 y=46(23)-(23)^2
 y=529

 Therefore the answer is: 23 and 529.

 
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) Using the chart, approximate the limit of the function f(x) = sin x/ x as x approaches zero. Note the numbers are in radians:
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1

Step-by-step explanation:

We are given that

f(x)=\frac{sinx}{x}

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Substitute x=-0.005

f(-0.005)=\frac{sin(-0.005)}{-0.005}=0.999

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Substitute x=0.01

f(0.01)=\frac{sin(0.01)}{0.01}=0.999

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En la siguiente sucesión numérica 8,7,11,10,14 los dos números siguientes son
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<h3>Numerical sequences</h3>

To find the missing numbers in the sequence, we must identify the rule by which they change.

The <u>sequence starts at 8 and then decreases by 1,</u> therefore, the second term is 7. The third term increases by 4 units with respect to the second, going from 7 to 11, and the fourth decreases again by 1, now remaining at 10.

The fifth term increases again by 4 units, from 10 to 14. This already gives us a clear idea of the rule that the sequence follows.

<h3>Decrease 1, increase 4, decrease 1, increase 4,…</h3>

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<h2>                          8 , 7, 11, 10, 14,...,</h2>

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<em>In this way, the sixth </em><em>element must decrease by 1</em><em>, that is 13 and the seventh must increase </em><em>by 4, that is 17</em><em>.</em>

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