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3 years ago

15

Please help me: A cereal company fills boxes with 16 ounces of cereal. The acceptable percent error in filling a box is 2.5%. Fi

nd the least and the greatest acceptable weights.

1 answer:

bagirrra123 [75]3 years ago

6 0

16.4 would be the greatest and 15.6 would be the least due to 2.5% equaling 0.4 and adding and subtracting it from 16.

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What is 3.14 times 20 time 1/2

ira [324]

Answer:

31.4

Step-by-step explanation:

So a really easy way to solve this is as goes

--> 3.14 x (20 x 1/2)

--> 3.14 x (10)

Now multipling by 10 is just moving the deciaml place one spot to the right

=> thus, we get 31.4

Hope this helps!

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3 years ago

Is this adjacent, vertical, linear, or complimentary?

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2 years ago

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2 years ago

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Step-by-step explanation:

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3 years ago

Consider the function f(x)= 2/5x-4

Gre4nikov [31]

Answer: a) $\frac{5}{2}x+10=f^{-1}(x)=g(x)$

Step-by-step explanation:

Since we have given that

$f(x)=\frac{2}{5}x-4$

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

$y=\frac{2}{5}x-4$

Switching x to y , we get

$x=\frac{2}{5}y-4$

$5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)$

b) . Use composition to show that f(x) and g(x) are inverses of each other.

$\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x$

Similarly,

$\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x$

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.

5 0

3 years ago