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user100 [1]
3 years ago
15

A certain isotope decays so that the amount A remaining after t years is given by:

Mathematics
1 answer:
pashok25 [27]3 years ago
3 0

f(h(x))= 2x -21

Step-by-step explanation:

f(x)= x^3 - 6

h(x)=\sqrt[3]{2x-15}

WE need to find f(h(x)), use composition of functions

Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6

cube and cube root will get cancelled

f(h(x))= 2x-15 -6= 2 x-21

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Find 5 points that satisfy the equation y= 12+2x
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We start by finding the intercept of the line: what does y equal when x=0? and what does x equal when y=0?
• intercept in x
y = 12 + 2x
0 = 12 + 2x
-12 = 2x
-6 = x
• intercept in y
y = 12 + 2x
y = 12 + 2(0)
y = 12 + 0
y = 12
Now we find three more points giving y a value and finding x
y = 12 + 2x
2 = 12 + 2x
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y = 12 + 2x
6 = 12 + 2x
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y = 12 + 2x
14 = 12 + 2x
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Notice how I gave y even numbers as values since we would have to divide with 2 at the end.

Sol. {(-6,0)(0,12)(-5,2)(-3,6)(1,14)}
8 0
3 years ago
The art club held a car wash on Saturday and Sunday. They washed a total of 50 cars. If they washed 30% of the cars on Sunday, h
o-na [289]

Answer:

If I did my math correctly, They washed 15 cars on Sunday.

Step-by-step explanation:

50 cars = 100%

Therefore 1 car would be 2% because 50 is half of 100.

So because 30% would be 2 times the amount of cars, we divide 30 by 2, giving us 30% = <u>15 cars on Sunday</u>

With this information, we can take away 15 from 50 giving us 35 cars which is equal to 70% on Saturday

Here is some extra data:

10% = 5 cars

20% = 10 cars

30% = 15 cars

40% = 20 cars

50% = 25 cars

60% = 30 cars

70% = 35 cars

80% = 40 cars

90% = 45 cars

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Basically, every 10% is +5 cars

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The expression that gives an angle that is coterminal with 300 is 300-720. Two angles are said to be coterminal if when they are drawn in a standard position, their terminal sides are on the same location. The expression gives an angle of 420 where when it is drawn the terminal sides are on the same location with the 300.

Someone asked the same question here before, check it out

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Answer:

3x - 8y = 24   --------(1)

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substitute  y in (1)

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