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mixas84 [53]
3 years ago
13

Which is a true statement? a. –10 > –2 b. –6 = 6 c. –7 < –1 d. 0 < –9

Mathematics
1 answer:
Papessa [141]3 years ago
3 0
<em>Right answer -7<-1
</em>

<em>ANSWER: C</em>
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Consider the function <br>f(x) = 8x^3 +1.<br><br> If f(g(x)) = x and g(f(x)) = x , find g(x) ?
Elena L [17]

g( \: f(x) \: ) = x

And

f( \: g(x) \: ) = x_________________________________

So :

g(x) =  {f}^{ - 1}(x)

And

f(x) =  {g}^{ - 1}(x)

_________________________________

So to find g(x) , we must find the inverse of f(x) .

Let's do it .....

f(x) = 8 {x}^{3} + 1

y = 8 {x}^{3} + 1

Subtract the sides of the equation minus 1

y - 1 = 8 {x}^{3}

Divided the sides of the equation by 8

\frac{y - 1}{8} =  {x}^{3} \\

From the sides of the equation, we take the radical with interval 3

\sqrt[3]{ \frac{y - 1}{8} } = x \\

\sqrt[3]{ \frac{1}{8}(y - 1) } = x \\

\frac{1}{2} \sqrt[3]{y - 1} = x \\

\frac{ \sqrt[3]{y - 1} }{2} = x \\

So ;

{f}^{ - 1}(x) = \frac{ \sqrt[3]{x - 1} }{2} \\

Now we find g(x) which is :

g(x) =  \frac{ \sqrt[3]{x - 1} }{2} \\

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And we're done.

Thanks for watching buddy good luck.

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7 0
3 years ago
A certain ferry moves up and down a river between Town A and B. It takes the ferry two hours to travel to Town A and only an hou
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Answer:

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Step-by-step explanation:

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To find the slope you need to do y2-y1/x2-x1

Y2 is 18, y1 is 13, x2 is 8, and x1 is 11

18-13/8-11
5/-3=
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Answer:

the answer is 0.6

Step-by-step explanation:

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To find the amount of solutions, you must find the discriminant. The discriminant is b^2 - 4ac. Number 6 has 2 solutions and number 7 has 1 solution.
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