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lakkis [162]
3 years ago
12

What is the relative minimum of the function?

Mathematics
1 answer:
tatiyna3 years ago
7 0

relative minimum is -2 when x is -3



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5 2/3

Step-by-step explanation:

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SecA-1= secA(1-cosA)
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Answer by JKismyhusbandbae:

\mathrm{Manipulating\:left\:side}\\\sec \left(a\right)-1\\Express\:with\:sin,\:cos\\=-1+\frac{1}{\cos \left(a\right)}\\\mathrm{Simplify}\:-1+\frac{1}{\cos \left(a\right)}:\quad \frac{-\cos \left(a\right)+1}{\cos \left(a\right)}\\\frac{1-\cos \left(a\right)}{\cos \left(a\right)}\\\mathrm{Use\:the\:following\:identity:}\:\frac{1}{\cos \left(x\right)}=\sec \left(x\right)\\=\left(1-\cos \left(a\right)\right)\sec \left(a\right)\\\mathrm{We\:showed\:that\:the\:two\:sides\:could\:take\:the\:same\:form}\\

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Crunchy peanut butter cost $325 for 259 g. in shop b it costs $408 for 340 g.
Mariulka [41]
Shop B. This is cause shop A charges about $1.25 for each g of peanut butter, while Shop B charges only $1.20 for each g of peanut butter. Hope this helps!
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3 years ago
8.) Write an inequality that can be used to represent this situation, where x represents Olivia’s sister’s age. (Short answer)
Bumek [7]

Answer:

The oldest age of Olivia’s sister can be 11 years.

Step-by-step explanation:

Given: Olivia’s sister’s age is x years.

To write: inequality that can be used to represent the given situation.

As Olivia is 6 years older than her sister,

Olivia's age =x+6

As the sum of their ages is no more than 28 years,

x+(x+6)\leq 28\\2x+6\leq 28\\2x\leq 28-6\\2x\leq 22\\x\leq \frac{22}{2}\\ x\leq 11

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5 0
4 years ago
The second term of a GP is 4, the fifth term is 81. Find the seventh term
navik [9.2K]

Answer:

The seventh term of a G.P is

t_{7}  = 33,097.211

Step-by-step explanation:

<u><em>step(i):</em></u><em>-</em>

<em>Given the second term of a G.P is '4'</em>

<em>The general term of nth term is </em>

<em></em>t_{n}  = ar^{n-1}<em></em>

<em></em>t_{4}  = ar^{4-1} =4  

ar^{3} =4 …(i)    

<em>Also Given the fifth term of a G.P is '81'</em>

t_{5}  = ar^{5-1} =81

ar^{4} =81  …(ii)      

<u><em>Step(ii)</em></u>:-

<em>Dividing the equation (ii) divided by (i)</em>

<em />\frac{ar^{4} }{ar^{3} } = \frac{81}{4}<em />

<em>cancellation ' a' and 'r' terms , we get</em>

<em />r = \frac{81}{4}=20.25<em />

<em>substituting 'r' Value in equation (i), we get</em>

<em></em>ar^{3} =4<em></em>

a(\frac{81}{4}) ^{3} =4  

a = \frac{4X4X4X4}{(81)^{3} }= \frac{256}{531,441}

a = 0.00048

<u><em>Step(iii):-</em></u>

<u><em>The seventh term of G.P </em></u>

<em>The general term of nth term is </em>

<em></em>t_{n}  = ar^{n-1}<em></em>

<em></em>t_{7}  = (0.00048)(20.25)^{7-1}<em></em>

<em></em>t_{7}  = (0.00048)(20.25)^{6}= 33,097.211<em></em>

<em></em>

<em></em>

3 0
4 years ago
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