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Luden [163]
3 years ago
5

br%3E%0A%7D%20" id="TexFormula1" title=" \frac{1}{x+1} + \frac{4}{x+4} - \frac{5}{x+5
} " alt=" \frac{1}{x+1} + \frac{4}{x+4} - \frac{5}{x+5
} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Anna11 [10]3 years ago
4 0
[ ( x + 4 )( x + 5 ) + 4( x + 1 )( x +  5) - 5( x + 1 )( x + 4 ) ] / [( x + 1 )( x +  4)( x + 5 )] = ( x^2 + 9x + 20 + 4x^2 + 24x +20 - 5x^2 - 25x - 20) / [( x + 1 )( x +  4)( x + 5 )] =
( - 2x + 20 ) /  [( x + 1 )( x +  4)( x + 5 )] = ( - 2)( x - 10) / [( x + 1 )( x +  4)( x + 5 )]
You might be interested in
Solve the equation w/2.5 = 9.
inessss [21]

Answer:

w=45/2 or 22.5

Step-by-step explanation:

i hope this helps :)

8 0
2 years ago
Read 2 more answers
What is the midpoint of (8,10) and (-8,8)
nasty-shy [4]

9514 1404 393

Answer:

  (0, 9)

Step-by-step explanation:

The midpoint coordinates are the averages of the end point coordinates.

  M = (A +B)/2

  M = ((8, 10) +(-8, 8))/2 = (8 -8, 10+8)/2 = (0, 18)/2

  M = (0, 9)

The midpoint is (0, 9).

4 0
3 years ago
Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the
scoray [572]

9514 1404 393

Answer:

  • 7 forks
  • 20 spoons

Step-by-step explanation:

Let x and y represent the numbers of forks and spoons made, respectively.

The cost of materials is ...

  1.70x + 1.30y = 37.90

The revenue from sales is ...

  5.60x + 5.40y = 147.20

You can solve these by any of your favorite methods. A graph is attached. It shows the solution is (x, y) = (7, 20).

They made 7 forks and 20 spoons.

_____

<em>Additional working out</em>

The equation coefficients are not "nice" multiples of each other, so elimination  and substitution will require multiplying both equations by some numbers. If we're going to that trouble, we may as well use Cramer's Rule or a variation of the "cross multiplication method". The latter is relatively straightforward and can be easy to remember. It tells you the solution to ...

  ax +by +c = 0

  dx +ey +g = 0

is ...

  1/(ae-db) = x/(bg-ey) = y/(cd-ga)

Here, that becomes ...

  1/(1.70·5.40-5.60·1.30) = x/(1.30·(-147.20)-5.40·(-37.90))

  = y/(-37.90·5.60-(-147.20·1.70))

  1/1.9 = x/13.3 = y/38

  x = 13.3/1.9 = 7 . . . number of forks

  y = 38/1.9 = 20 . . . number of spoons

__

The above solution formula may be more easily remembered in terms of the cross-multiplication pattern that gives the method its name. When the coefficients are written in two rows of four, with the last being a repeat of the first:

  • a b c a
  • d e g d

each of the three denominators (of 1, x, and y) is the difference of products in adjacent columns, formed in an X fashion: ae-db, bg-ec, cd-ga. Note that the equations are written in "general" form, which is similar to "standard" form, but with all of the non-zero terms on the left of the equal sign. (This has the effect of changing the sign of the constants: 1.7x+1.3y=37.9 ⇒ 1.7x+1.3y-37.9=0)

8 0
2 years ago
A number decreased by three square
Leto [7]
A number decreased by three square is: (where x is the number)

x - 3^2
8 0
3 years ago
The price of a shoes as reduced from 60 to 45. by what percentage was the price of the shoes reduced?
sweet-ann [11.9K]
45 is 75% of 60 but if you’re looking for the difference subtract 75 from 100, so 25%
8 0
2 years ago
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