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nydimaria [60]
3 years ago
6

Find an expression for f−1(x), if f(x) = 5 − 2x

Mathematics
1 answer:
Lesechka [4]3 years ago
8 0

Answer:

f^{-1}(x) = \frac{5-x}{2}

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject

y = 5 - 2x ( add 2x to both sides )

2x + y = 5 ( subtract y from both sides )

2x = 5 - y ( divide both sides by 2 )

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

Change y back into terms of x

f^{-1} (x) = \frac{5-x}{2}

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sukhopar [10]

We know that all black beards cost the same money

And all red beards cost $25

And B represents number of black beards

And R represents number of red beards

We have been given the inequality 20B+25R > 350 to show the target for this month.

The above inequality shows that Merlin needs to make more than 350, hence he made 350 last month

Further, it shows that B has been multiplied by 20, hence the black beard's cost was 20

8 0
3 years ago
Read 2 more answers
This makes no sense, help pls
stiv31 [10]

Please mark me branliest!

**Answer**

16 if you want exact, 20 if you want a little over.

**Explanation**

So check this... it's $50 per student that attends the camp, right?

(Nod if you're with me.)

The dude buys 5 dozen donuts for 16 days. 50 x 16 = 800

5 dozen is the same as 50 donuts.

You multiply to get the total amount of donuts he buys in the total days (16).

Each 10 donuts costs 10 dollars.

If the dude buys 800 donuts it cost him $800.

And it costs 50 dollars for someone to go to camp.

So you divide 800/50 = 16 students

Now the problem says "In order to break even" I'm not sure what that means. But I'm assuming it doesn't want 16 then, because the price of 16 students would be the same (even) as the price of donuts that Mr. Brook buys. In that case it would be 20.

You are very welcome!!

8 0
3 years ago
Factor completely 3x3 + 12x2 + 18x.
Elza [17]
Factor out a 3x:
3x(x2+4x+6)

Since you can't factor out the quadratic that's as far as it goes:

Answer:
3x(x2+4x+6)
4 0
3 years ago
Read 2 more answers
Which does not show a direct variation between x and y?  
Dmitry [639]
(1)\\direct\ variation\ between\ x\ and\ y:\ \ \ y=k\cdot x\ \ \ and\ \ \  k\in\ R\\\\Ans.\ NOT\ direct\ is\ D\\\\(2)\\f(x) = m\cdot x\ \ \ and\ \ \ f(6)=8\\\\ \Rightarrow\ \ \ m\cdot 6=8\ \ \ \Rightarrow\ \ \ m= \frac{8}{6} = \frac{4}{3} \ \ \ \ \Rightarrow\ \ \ \ Ans.\ D\\\\(3)\\f(x)=30x\ \ \ \Leftrightarrow\ \ \  \frac{f(x)}{x} =30\ \ \ \ \ \ \Rightarrow\ \ \ \ constans=30\ \ \ \ Ans.\ B.

\\\\(4)\\f(x)=m\cdot x\ \ and\ \ f(8)=56\\\\m\cdot8=56\ \ \Leftrightarrow\ \ m= \frac{56}{8} =7\ \ \Rightarrow\ \ \ f(x)=7x\ \ \ \Rightarrow\ \ \ f(2)=7\cdot2=14\\\\Ans.\ D.
3 0
3 years ago
Subtract: (4n + 7) - (7n - 8)
Furkat [3]
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=−3n+15

4 0
3 years ago
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