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prisoha [69]
3 years ago
6

A candle is 6 inches tall and burns at a rate of one half an inch per hour. Write an equation to represent the situation.

Mathematics
2 answers:
Greeley [361]3 years ago
7 0
6=1/2h where 6 is the total hight, 1/2 is the rate of decrease, and h is the amount of hours the candle is burned.
Levart [38]3 years ago
5 0

Answer: y=6-0.5x

Step-by-step explanation:

Given  : The initial height of candle = 6 inches

Amount of candle burn each hour = one half an inch per hour.

=\dfrac{1}{2}\text{ inch per hour}

Now , the height of candle = ( initial height ) -( Rate of burning) (Numb er of hours)

Let y be the height of the candle after x hours.

Then, the equation to represent the situation will be :

y=6-\dfrac{1}{2}x\\\\\Rightarrow\ y=6-0.5x

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Which two functions are inverses of each other?
guapka [62]

Answer:

The choices were typed wrong, but we can find the inverse of each option.

For function f(x)=x the inverse is the same function g(x)=x, because an inverse of a function is where their composition gives the independent variable as unique result.

If we do that with each function, we have:

f((g(x))=x; where f(x)=x and g(x)=x, we have

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

So they are inverse.

For f(x)=2x its inverse would be g(x)=\frac{1}{2}x, because

f(g(x))=2(\frac{1}{2}x)=x

For f(x)=4x, its inverse is g(x)=\frac{1}{4}x, because

f(g(x))=4(\frac{1}{4}x)=x

For f(x)=-8x, its inverse is g(x)=-\frac{1}{8}x, because

f(g(x))=-8(-\frac{1}{8}x)=x

There you have all inverses. Basically, if their composition results in x, that means they are inverse.

5 0
3 years ago
Read 2 more answers
3. Which of the following is an example of a set of like terms?
alukav5142 [94]

Answer:

B is the correct answer.

Step-by-step explanation:

B has all terms of x.

3 0
3 years ago
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Find the length of the mid segment.
GrogVix [38]

Answer:

42 or B

Step-by-step explanation:

So the top triangle is similar to the whole triangle by AA similarity. It has a ratio of 1:2. So 4x+2:4x+44 is 1:2. So 8x+4=4x+44. Simplifying, we get 4x=40 or x=10 So 4x+2=42

5 0
3 years ago
Can someone explain how 8.75 multiplied by 0.8 is 7??? It just don't make sense... I don't see why the number got smaller instea
yarga [219]

Answer:

80% of 8.75=7. I'm pretty sure this is the reason.

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7. Vernon filled his gas tank with 16 gallons of
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Answer:

it went from 4 then 1 then 11

Step-by-step explanation:

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