MATHEMATICS MIDDLE SCHOOL

What is the inverse of the function f(x)= 15x+50/x+5

Answers

Answer 1
Answer:

I think you mean

f(x) = (15x + 50)/(x + 5)

First, replace f(x) with y.

y = (15x + 50)/(x + 5)

Now, switch x and y.

x = (15y + 50)/(y + 5)

Now we solve for y.

x(y + 5) = 15y + 50

xy + 5x = 15y + 50

xy - 15y = -5x + 50

y(x - 15) = -5x + 50

y = (-5x+ 50)/(x - 15)

Now we replace y with f^(-1)(x).

f^(-1)(x) = (-5x+ 50)/(x - 15)

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Jill bought oranges and bananas. she bought 12 pieces of fruit and spent $5. oranges cost $0.50 each and bananas $0.25. write a system of equations to model the problem. then solve the system algebraically. how many oranges and how many bananas did Jill buy? *show work please*

Answers

x=number of oranges.
y=number of bananas.
$5

we can suggest this system of equations:
x+y=12
0.5x+0.25y=5
We can solve this system of equations by substitution method.
x=12-y

0.5(12-y)+0.25y=5
6-0.5y+0.25y=5
-0.25y=5-6
-0.25y=-1
y=-1 /- 0.25=4

x=12-y
x=12-4=8

Answer: Jill bought 8 oranges and 4 bananas.

4 hundreds = how many tens

Answers

so ten tens = 100 so u multiply and u get 40 tens which are 400= 4 hundreds
There is 10 tens in a hundred.  So 4 hundred would be 40 tens.

When working with rational expressions, restricted values are values of your variable that results in an undefined rational expression. Given the following rational expressions: 2x+4/x^2−x−6 and 2/x−3 Determine whether the rational expressions are equivalent and explain your answer. Determine the values that would make the rational expressions undefined. Are these values the same or different? Explain.

Answers

Answer:

See below

Step-by-step explanation:

2x+4 / x^2-x-6

= 2(x+2)/(x-3)(x+2)

= 2/(x-3)

So the 2 expressions are equivalent

The values of x which make the expressions undefined are those values which make the denominators 0

For 2x+4/ x^2-x-6 they are X=3 and x= -2.

For 2/x-3 they are x =3.

What do 6, 9, and 12 all go into

Answers

36. 6x6, 9x4 and 12x3

What number is 10 less than 67

Answers

If you would like to know what number is 10 less than 67, you can calculate this using the following step:

subtract 10 from 67:
67 - 10 = 57

Result: 57 is 10 less than 67.

Which number rounds to 600 when rounded to the nearest whole number????

Answers

anything greater than or equal to 599.5
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