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muminat
3 years ago
12

If √6b+4=20, then what is the value of b

Mathematics
1 answer:
sukhopar [10]3 years ago
7 0
D:6b+4\geq0\to b\geq-\dfrac{2}{3}\\\\\sqrt{6b+4}=20\ \ \ |^2\\\\(\sqrt{6b+4})^2=20^2\\\\|6b+4|=400\to 6b+4=400\ \vee\ 6b+4=-400\ \ |-4\\\\6b=396\ \vee\ 6c=-404\ \ \ |:6\\\\b=66\in D\ \vee\ b=-67\dfrac{2}{3}\notin D

Answer:\ b=66
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What is the 7th term of the geometric sequence where a1 = -625 and a2 = 125
kykrilka [37]
Since the sequence is geometric, there is some constant r such that the sequence is recursively given by

a_n=ra_{n-1}

By this definition, you can recursively substitute into the right hand side the definition for a_{n-1},a_{n-2},\ldots to find an explicit formula for the nth term.

a_n=ra_{n-1}=r^2a_{n-2}=r^3a_{n-3}=\cdots=r^{n-1}a_1=-625r^{n-1}

You know the second term, which means you can find r:

a_2=-625r^{2-1}\implies125=-625r\implies r=-\dfrac15

So, the 7th term of the sequence is

a_7=-625\left(-\dfrac15\right)^{7-1}=-\dfrac1{25}
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3 years ago
9 years equals how many days
lakkis [162]
3285 days.This is the answer.
5 0
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Answer:

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2 years ago
Why will percent of change always be represented by a positive number?
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3 0
3 years ago
on saturday you bowl at mar vista bowl where renting shoes costs $2 and each game bowled is $3.50.on sunday you bowl at pinz whe
Vlad1618 [11]

Answer:

Let x= number of games bowled.

Amount spent at Vista Bowl=2+3.5x

Amount spent at Pinz Bowl=5+3.25x

Setting these two equations equal to each other and solving for x will give you the number of games you can bowl to make the cost the same:

                             2+3.5x=5+3.25x             setting equations equal

                             3.5x-3.25x=5-2               combining like terms

                             0.25x=3                          simplify

                             (1/4)x=3                         changing decimal into a fraction

                             x=(3)(4)                         multiply both sides by 4 to isolate the x

                             x=12                              answer

Step-by-step explanation:

3 0
3 years ago
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