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AleksandrR [38]
3 years ago
14

Which value is needed to create a perfect square trinomial from the expression x^2+8x+___?

Mathematics
1 answer:
leonid [27]3 years ago
3 0

{( \frac{b}{2}) }^{2}  \\  ( { \frac{8}{2} )}^{2}   \\ ( {4})^{2}  \\ 16
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Step-by-step explanation:

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The algebraic form of an arithmetic sequence is 5n-2<br>a) What is its common difference?​
Alexxandr [17]

Answer:

5

Step-by-step explanation:

[math]

U_{n} = 5n - 2 \\

Common Difference = U_{n+1} - U_{n} \\

= [5(n + 1) - 2] - [5n - 2] = [5n + 5 - 2] - [5n - 2]\\

= 5n + 5 - 2 - 5n + 2\\

= 5

[/math]

5 0
2 years ago
Evaulate the function at the indicated values h(t)=t+(3/t)i find h(x-1)
alex41 [277]

<span>h<span>(t)</span>=<span>t<span>34</span></span>−3<span>t<span>14</span></span></span>

Note that the domain of h is <span>[0,∞]</span>.

By differentiating,

<span>h'<span>(t)</span>=<span>34</span><span>t<span>−<span>14</span></span></span>−<span>34</span><span>t<span>−<span>34</span></span></span></span>

by factoring out <span>34</span>,

<span>=<span>34</span><span>(<span>1<span>t<span>14</span></span></span>−<span>1<span>t<span>34</span></span></span>)</span></span>

by finding the common denominator,

<span>=<span>34</span><span><span><span>t<span>12</span></span>−1</span><span>t<span>34</span></span></span>=0</span>

<span>⇒<span>t<span>12</span></span>=1⇒t=1</span>

Since <span>h'<span>(0)</span></span> is undefined, <span>t=0</span> is also a critical number.

Hence, the critical numbers are <span>t=0,1</span>.

I hope that this was helpful.

6 0
3 years ago
1
Sloan [31]

Answer:

<h3>#1</h3>

<u>Rectangle area:</u>

  • A = lw

<u>Given:</u>

  • l = 12 ft, A = 300 ft²

<u>Find w:</u>

  • 12w = 300
  • w = 300/12
  • w = 25 ft
<h3>#2</h3>

<u>Perimeter is the sum of side lengths:</u>

P = 2 1/4 + 5 2/5 + 5 17/20 =

     2 + 5 + 5 + 1/4 + 2/5 + 17/20 =

     12 + 5/20 + 8/20 + 17/20 =

     12 + 30/20 =

     12 + 1.5 =

     13.5 ft

<h3>#3</h3>
  • Cost of a shirt = $19.99
  • Number of shirts = 6

<u>Total cost:</u>

  • $19.99*6 = $119.94

8 0
3 years ago
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