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Gnom [1K]
3 years ago
12

Solve the inequality for x. x-c/d > y (for d > 0)

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0

Step-by-step explanation:

x-c/d>y

d(x)-d(c/d)>d(y)

dx-cd-d^2>dy

dx>dy+cd+d^2

dx>d(y+c+d)

dx/d>d(y+c+d)/d

x>d(y+c+d)/d

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Factor 9x^2 -5 . using difference of squares
lawyer [7]
\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
9x^2-5\qquad 
\begin{cases}
9x^2=3^2x^2\\
\qquad (3x)^2\\
5=\sqrt{5^2}\\
\qquad (\sqrt{5})^2
\end{cases}\implies
\begin{array}{llll}
(3x)^2-(\sqrt{5})^2
\\\\\\
(3x-\sqrt{5})~(3x+\sqrt{5})
\end{array}
5 0
2 years ago
We are planning a reception for our daughter. The hall that we are renting charges $55 clean up fee. In addition to the cleanup
elena55 [62]

Answer:

89 is  the maximum number of guests that can be invited within budget  .

Step-by-step explanation:

The cleaning charges = $55

Total budget available = $3350

Cost per guest = $37

Now, actual budget available for guest = Total budget -  Cleaning Fee

= $3350  - $ 55   = $3,295

Now, cost per head =$ 37

So, number of guests (n) possible in the budget

⇒ n = (Total guest Budget)/ Cost per head

= $3,295 / $37  = $89.05

or,  n = $89.05

So, 89 is  the maximum number of guests that can be invited within budget  .

8 0
3 years ago
A pair of skis was discounted 20%. How many percent will the discounted price have to be increased to return to the original pri
denis-greek [22]

Answer:

25%

Step-by-step explanation:

Let the original price of A pair of skis be $100

discount given on A pair of skis = 20% on original price

discount value of A pair of skis in $ = 20% * $100

                   =  (20 * 100)/100 = $20

discounted price of A pair of skis =  original price - discount = 100 -20 = $80

in order to increase discounted price to original price of $100

there must be increase of $20 to discounted price which is $80

percentage increase on discounted price   to return to the original price =

(increased \ amount / discounted \ price) * 100 \\=>( 20/80) * 100 =  25\\

therefore 25% must be increase on discounted price to return to the original price

6 0
3 years ago
Links will be reported
Oxana [17]

Answer:

Center: (-2, 4)

Radius: 4

Step-by-step explanation:

To find the centre and radius, we require to identify g , f and c

By comparing the coefficients of 'like terms' in the given equation with the general form.

2g = 4 → g = 2 , 2f = -8 → f = -4 and c = 4 → center=(−g,−f)=(−2,4)

radius = √22+(−4)2−4= √4+16−4=4

Center: (-2, 4)

Radius: 4

Hope This Helps! :)

8 0
2 years ago
Graph the equationX = -2
Vikentia [17]
The answer is a vertical line on the negative -2 (x-axis).

8 0
3 years ago
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