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Lelu [443]
3 years ago
14

you can type 250 characters in 60 seconds your friend can type 375 characters in 90 seconds do these ratios form a proportion

Mathematics
1 answer:
kykrilka [37]3 years ago
5 0

Answer:

see the explanation below

Step-by-step explanation:

you can type 250 characters in 60 seconds your friend can type 375 characters in 90 seconds do these ratios form a proportion

Given data

you can type 250 characters in 60 seconds

your typing speed = 250/60

= 4.16 characters per seconds

your friend can type 375 characters in 90 seconds

your friends typing speed is

= 375/90

= 4.16 characters per seconds

Since both typing speeds corresponds, hence the ratios are proportional

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Given f(x), find g(x) and h(x) such that f(x)=g(h(x)) and neither g(x) nor h(x) is solely x. f(x)=−3x+4⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√3+5
iVinArrow [24]

Answer:

h(x)=-2x+4

g(x)=\sqrt[3]{x}-5

Step-by-step explanation:

Consider the given function is

f(x)=\sqrt[3]{-2x+4}-5

It is given that f(x)=g(h(x)) and neither g(x) nor h(x) is solely x.

f(x)=\sqrt[3]{(-2x+4)}-5

Let h(x)=-2x+4, then we get

f(x)=g(h(x))=\sqrt[3]{h(x)}-5

Substitute h(x)=x in the above function.

g(x)=\sqrt[3]{x}-5

Therefore, the required functions are h(x)=-2x+4 and g(x)=\sqrt[3]{x}-5.

Check the solutions.

g(h(x))=g(-2x+4)             [\because h(x)=-2x+4]

g(h(x))=\sqrt[3]{-2x+4}-5            [\because g(x)=\sqrt[3]{x}-5]

g(h(x))=f(x)

Therefore, our solution is correct.

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