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leonid [27]
3 years ago
7

How would I solve this Rational Equation? Solve for all values of x.

Mathematics
1 answer:
Nesterboy [21]3 years ago
4 0

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

I like to put these in the form f(x) = 0. We can do that by subtracting the right side. Common factors can be cancelled from numerator and denominator, provided they are not zero.

  \dfrac{7}{x+3}+\dfrac{3}{x-3}-\dfrac{x}{x-3}=0\\\\ \dfrac{7(x-3)+(x+3)(3-x)}{(x+3)(x-3)}=0\\\\\dfrac{(x-3)(4-x)}{(x-3)(x+3)}=0\\\\ \dfrac{4-x}{x+3}=0\qquad x\ne3\\\\x=4 \qquad\text{equate the numerator to zero, add $x$}

_____

If you leave the numerator as (x-3)(4-x), then there are two values of x that make it zero. Because x=3 makes the equation "undefined", it cannot be considered to be a solution.

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True or False?<br><br> (–3)^22 is greater than (–2)^33
puteri [66]

Answer:

true

Step-by-step explanation:

(-3)^22 -> to the power of an even number -> answer is positive

(-2)^33 -> to the power of an odd number -> answer is negative

positive # > negative #

7 0
2 years ago
Read 2 more answers
A jet ski costs $925 and depreciates by 15% each year. How much will
ivann1987 [24]
Initial cost of the jet ski = $925
Percentage of depreciation per year = 15%
Number of years after which the cost of the jetski has to be determined = 7
Then
Depreciated Value = Initial cost( 1 - percentage of depreciation) ^number of years
                              = 925( 1 - 15%)^7
                              = 925( 1 - 15/100)^7
                              = 925(1 - 0.15)^7
                              = 925(0.85)^7
                              = 925 *(0.85)^7
                              = 925 * 0.3206
                              = 296.53 dollars
So the depreciated cost of the jet ski after 7 years will be $296.53
6 0
3 years ago
Helpppppppppppppppppppppppppppppppppppppppppppp
sukhopar [10]

Answer:

There are 16 squares and 12/16 is 75 percent so 75% - green

25% - white hope this helps :)

Step-by-step explanation:

5 0
2 years ago
I need help PLEASE ANYONE ASAP???):??!!!!!!
Colt1911 [192]

Answer:

D.

Step-by-step explanation:

2y = (2 x y) = 2 x 0 = 0

<em>0 - 0 = 0</em>

4 0
2 years ago
Read 2 more answers
Bongeka purchased a new refrigerator and were expected to pay R1 684,00 five months ago and another R1 323,00 in eight months’ t
Dmitriy789 [7]

The discount factor computed shows that the value of each payment will be $1546.

<h3>How to calculate the payment?</h3>

The following can be deduced from the information:

Payment due in 5 months = $1684

Payment due in 8 months = $1323

Annual interest  = 11.40%

Monthly interest rate = 11.40%/12 = 0.95%

Present value of payment due 5 months ago = $1684 + (1 + 0.95%)⁵ = $1765.52

Present value of payment due 8 months ago = $1226.62

Total present value = $1765.52 + $1226.62 = $2992.14

After rescheduling, the payments will be in 2 months and 5 months.

Discount factor for payment due in 2 months = 0.9813

Discount factor for payment due in 5 months = 0.9538

Combined discount factors= 0.9360

Therefore, the value of each payment will be:

= $2992.14/(1 + 0.9360)

= $1546

Learn more about discount factor on:

brainly.com/question/24286983

5 0
2 years ago
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