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krok68 [10]
3 years ago
7

A committee must be formed with 3 teachers and 3 students. If there are 10 teachers

Mathematics
1 answer:
Sophie [7]3 years ago
4 0

Answer:

54,600 ways

Step-by-step explanation:

i hope you understand this

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The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x , where x is his monthly income. f^-1x . The
Katena32 [7]
<span>1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most 

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

 </span>f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)<span>


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

</span>y=15,000+1.5x
<span>
1.5x = y-15,000


</span>x= \frac{y-15,000}{1.5}
<span>
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:

</span>x=g(y)=\frac{y-15,000}{1.5}

since we generally use the letter x for the variable of a function, we write g again as:

g(x)=\frac{x-15,000}{1.5}
<span>
for example :

</span>g(50,000)=\frac{50,000-15,000}{1.5}= \frac{35,000}{1.5}= 23,333
<span>
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is 

</span>g(60,000)=\frac{60,000-15,000}{1.5}= \frac{45,000}{1.5}=30,000<span>
 dollars.


Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation </span>f ^{-1}(x)<span>



</span>
6 0
3 years ago
Find the GCF<br> 34 &amp; 68
photoshop1234 [79]

Answer:

The GCF would be 34.

34/34=1

68/34=2

If this answer was helpful please consider giving brainliest!

4 0
2 years ago
Richard and Teo have a combined age of 37. Richard is 4 years older than twice​ Teo's age. How old are Richard and​ Teo?
valkas [14]

Answer:

Teo is 11 years old and Richard is 26 years old.

Step-by-step explanation:

Let R be the age of Richard and T be the age of Teo.

<u><em>First set up the equations:</em></u>

The combined age of Teo and Richard is 37:

R+T=37

Richard is four years old than twice Teo's age:

R=2T+4

<u><em>Then, solve the equations:</em></u>

Substitute (2) to (1) and solve for T:

(2T+4)+T=37

3T=11

T=11

Solve for R using (2):

R=2(11)+4

R=22+4

R=26

5 0
3 years ago
You are part of a rowing team. Every 1, miles you stop to take a drink of water. How many times will you stop to drink water if
musickatia [10]

Answer:

10 stops I think as the 0.2 is not a full mile so you dont stop

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is 2 3/12 minus 1 8/12 equal to?​
ArbitrLikvidat [17]

Answer:

7/12

Step-by-step explanation:

3/12=1/4

2 1/4=9/4

8/12=2/3

1 2/3=5/3

---------------

9/4-5/3=27/12-20/12=7/12

6 0
3 years ago
Read 2 more answers
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