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fenix001 [56]
3 years ago
5

1 over f equals 1 over a plus 1 over b for f

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0
 
            1
           ---- + 1 
 1         a       
---- = ------------
  f         1
           ----
             b

You did well in presenting the problem with your "over this and that" approach.  However, you didn't explain in words that your task was to solve this for f.

To solve for f, take the entire (1/f) fraction above and invert it:

       1/b
f = -------------
      (1/a) + 1

This could be simplified; the LCD is ab.  Give that a try.

You might be interested in
The sum of three consecutive odd integers is-219. What is the first number in the set?
Alex73 [517]

Answer:

-75

Step-by-step explanation:

Let us consider the first  odd number to be 'x'.

Thus:

  1. 1st odd number: x
  2. 2nd odd number: x+2
  3. 3rd odd number: x+3

According to the question, the sum of these three consecutive ODD numbers should be equal to -219

So,

x + x + 2 + x + 4 = -219

3x + 6 = -219

3x = -225

x = -75

3 0
3 years ago
Maggie is displaying paperback and hardback books on her book shelf. The ratio of hardback books to total books is 5 to 13. Whic
lubasha [3.4K]

Answer:

Total Paperback books = 8x , where x is any positive number

Step-by-step explanation:

Let

The total books are = 13x   ; where x is any positive number

As given,

The ratio of hardback books to total books is 5 to 13.

⇒Hardback books = \frac{5}{13}× Total books

⇒Hardback books = \frac{5}{13}× 13x = 5x

So, Paperback books = Total books - Hardback books

                                    = 13x - 5x

                                    = 8x

⇒Total Paperback books = 8x

8 0
2 years ago
John is 3 years older than Susan and khalid is 5 years younger than her . The sum of their ages is 40 .
lapo4ka [179]

Answer:

John is 17,

Susan is 14,

and Khalid is 9.

Step-by-step explanation:

a = John's age

b = Susan's age

c = Khalid's age

Let's set our rules from the given information.

a = b + 3

c = b - 5

a + b + c = 40

Now, we can solve for b through substitution.

(b + 3) + b + (b - 5) = 40

3b - 2 = 40

3b = 42

b = 14

So, now that we have Susan's age, we can follow the rules and see if it holds.

17 + 14 + 9 = 40 Viola!

8 0
3 years ago
The vertex of this parabola is at (2, -4). When the y-value is -1, the x-value is 3. What is the coefficient of the squared term
rjkz [21]

Answer:

3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, - 4) , thus

y = a(x - 2)² - 4

To find a substitute (3, - 1 ) into the equation

- 1 = a(3 - 2)² - 4 ( add 4 to both sides )

3 = a

Thus

y = 3(x - 2)2 - 4 ← equation in vertex form

   = 3(x² - 4x + 4) + 4

    = 3x² - 12x + 12 + 4

     = 3x² - 12x + 16 ← equation in standard form

with coefficient of x² term = 3

5 0
3 years ago
What is the value of x to the nearest tenth?
Citrus2011 [14]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
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