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kipiarov [429]
3 years ago
6

Question 3 of 8

Mathematics
1 answer:
erastova [34]3 years ago
6 0

Answer:

A. and C.

Step-by-step explanation:

We don't know the area of the roof or the number of people in the group so they would both be represented by variables in an equation.

You might be interested in
The distance on a map between two cities is 6.5 cm if 1 cm = 8k on the map how many miles are the two cites apart from each othe
DedPeter [7]

So firstly, we have to convert 6.5 cm into km. Do this by multiplying 6.5 by 8:

6.5\times 8=52\ \textsf{km}

Next, we have to convert km to miles. Do this by multiplying 52 by 0.621:

52\times 0.621=32.292\ \textsf{mi}\ \approx 32.3\ \textsf{mi}

<u>The cities are (rounded to the tenths) 32.3 miles from each other.</u>

6 0
2 years ago
SEE ATTACHED
fenix001 [56]
To me personally, the first bit f(g(x)) is easy and the domain is tricky. Let's try explain this.

A function takes an input number and returns an output number depending on the function. Look at f(x) = x+3, if we let the input number be 2 then we say that f(2) = 5. We could do f(π) to give us π+3 or even f(x²) to give us x² +3. The trick is to substitute the input into the function equation.

You have been asked to find f(g(x)). You know f(x) = \frac{1+x}{1-x}. Putting numbers in at this point would be easy (try work out f(2), you'll do it really quick) but you have to put in g(x).

f(g(x)) = \frac{1+g(x)}{1-g(x)}
we also know that g(x) = \frac{x}{1-x} so we can say that
f(g(x)) = \frac{1+ \frac{x}{1-x} }{1- \frac{x}{1-x} } and that is f(g(x)) but the question requires that we simplify it so
\frac{1+ \frac{x}{1-x} }{1- \frac{x}{1-x} }  =  \frac{ \frac{1-x}{1-x} +  \frac{x}{1-x} }{ \frac{1-x}{1-x} - \frac{x}{1-x} } =  \frac{ \frac{1}{1-x} }{ \frac{1-2x}{1-x} } =  \frac{1}{1-2x}

f(g(x)) = \frac{1}{1-2x}

Now for the tricky bit (for me, at least). The domain is the full set of values that you can 'put in to' the function and still get a real value out. So how do we work out what numbers 'break' the function? I like to use the fact that DIVIDING BY ZERO IS IMPOSSIBLE. What value of x can we put into the function to make it so the function is being divided by 0? i.e. 1-2x = 0 solve that and you have a value of x that isn't part of the domain.

This means the domain is all real numbers EXCEPT the solution to that equation. (Because if we put that value into f(g(x)) it's impossible to get a value out.)

[I know this was a lot to read, if you have any questions or don't get anything feel free to message me or leave a comment.]

5 0
3 years ago
PLLLZZ HELP IF U DONT KNOW ANSWER DONT!!!!
Mice21 [21]

Answer:

subtract 22 on both sides

Step-by-step explanation:

hope this helps :)

4 0
2 years ago
Read 2 more answers
−8−1+4 ⋅ 2 find the answer to this equation
jeyben [28]

Answer:

-1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The solution to 2x2 – 11 = 87 is
Ilia_Sergeevich [38]
2x^2 - 11 = 87
2x^2 = 87 + 11 = 98
x^2 = 98/2 = 49
x = sqrt (49) =  + or - 7
7 0
3 years ago
Read 2 more answers
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